Tuesday, June 05, 2012

Expanded TWO YEAR CYCLER TABLE (in work)

Perihelion (q) is an orbit's closest point to Sol, our sun.
Reference ray (ν=0°) usually extends from Sol to object's perihelion.
All other angles, ν (Greek "nu"), measure from this reference.
For the orbital period (P) to be 2 years, Kepler's 3rd Law requires semimajor axis (a) to be 1.58 AU.
Cycler orbit's semilatis rectum, ℓC, is distance from focus (i.e. Sol) to cycler at ν = 90°.  For following table, let ℓc be 1.0 AU.
Cycler
Angle 		Radius Coordinates Incr. DistVelocity Incr.
Time 		Cumm.
Time 		Earth
Angle 		Coordinates Mars
Angle 		Radius Coordinates
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
0°0.622 0.62 0.00 n/a n/a 47.903 n/a n/a 40.16°0.76 0.64 68.60°1.461 0.53 1.36
1°0.622 0.62 0.01 0.0109 1,623,464 47.901 0.39 0.39 40.55°0.76 0.65 68.81°1.461 0.53 1.36
2°0.622 0.62 0.02 0.0109 1,623,722 47.896 0.39 0.78 40.93°0.76 0.66 69.01°1.462 0.52 1.36
2.55°0.622 0.62 0.03 0.0060 890,976 47.892 0.22 1.00 41.15°0.75 0.66 69.13°1.462 0.52 1.37
3°0.622 0.62 0.03 0.0109 1,624,238 47.888 0.39 1.18 41.32°0.75 0.66 69.22°1.462 0.52 1.37
4°0.622 0.62 0.04 0.0109 1,625,012 47.876 0.39 1.57 41.71°0.75 0.67 69.42°1.462 0.51 1.37
5°0.623 0.62 0.05 0.0109 1,626,044 47.860 0.39 1.96 42.10°0.74 0.67 69.63°1.463 0.51 1.37
5.09°0.623 0.62 0.06 0.0010 151,697 47.858 0.04 2.00 42.13°0.74 0.67 69.65°1.463 0.51 1.37
6°0.623 0.62 0.07 0.0109 1,627,336 47.841 0.39 2.36 42.48°0.74 0.68 69.84°1.463 0.50 1.37
7°0.624 0.62 0.08 0.0109 1,628,887 47.819 0.39 2.75 42.87°0.73 0.68 70.04°1.464 0.50 1.38
7.63°0.624 0.62 0.08 0.0069 1,026,998 47.803 0.25 3.00 43.12°0.73 0.68 70.17°1.464 0.50 1.38
8°0.624 0.62 0.09 0.0109 1,630,699 47.793 0.39 3.15 43.26°0.73 0.69 70.25°1.464 0.49 1.38
9°0.625 0.62 0.10 0.0109 1,632,772 47.764 0.40 3.54 43.65°0.72 0.69 70.46°1.465 0.49 1.38
10°0.625 0.62 0.11 0.0109 1,635,107 47.732 0.40 3.94 44.04°0.72 0.70 70.67°1.465 0.49 1.38
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
10.16°0.625 0.62 0.11 0.0017 254,174 47.726 0.06 4.00 44.10°0.72 0.70 70.70°1.465 0.48 1.38
11°0.626 0.61 0.12 0.0109 1,637,706 47.696 0.40 4.34 44.43°0.71 0.70 70.87°1.466 0.48 1.38
12°0.627 0.61 0.13 0.0110 1,640,569 47.656 0.40 4.73 44.83°0.71 0.70 71.08°1.466 0.48 1.39
12.67°0.628 0.61 0.14 0.0073 1,093,365 47.628 0.27 5.00 45.09°0.71 0.71 71.22°1.466 0.47 1.39
13°0.628 0.61 0.14 0.0110 1,643,698 47.613 0.40 5.13 45.22°0.70 0.71 71.29°1.467 0.47 1.39
14°0.629 0.61 0.15 0.0110 1,647,095 47.567 0.40 5.53 45.61°0.70 0.71 71.50°1.467 0.47 1.39
15°0.630 0.61 0.16 0.0110 1,650,761 47.518 0.40 5.94 46.01°0.69 0.72 71.71°1.467 0.46 1.39
15.16°0.630 0.61 0.16 0.0017 259,958 47.509 0.06 6.00 46.07°0.69 0.72 71.75°1.468 0.46 1.39
16°0.631 0.61 0.17 0.0111 1,654,698 47.465 0.40 6.34 46.41°0.69 0.72 71.92°1.468 0.46 1.40
17°0.632 0.60 0.18 0.0111 1,658,908 47.408 0.41 6.75 46.81°0.68 0.73 72.14°1.468 0.45 1.40
17.63°0.633 0.60 0.19 0.0070 1,042,486 47.371 0.25 7.00 47.06°0.68 0.73 72.27°1.469 0.45 1.40
18°0.633 0.60 0.20 0.0111 1,663,393 47.348 0.41 7.15 47.21°0.68 0.73 72.35°1.469 0.45 1.40
19°0.635 0.60 0.21 0.0112 1,668,154 47.285 0.41 7.56 47.61°0.67 0.74 72.56°1.469 0.44 1.40
20°0.636 0.60 0.22 0.0112 1,673,195 47.219 0.41 7.97 48.02°0.67 0.74 72.78°1.470 0.44 1.40
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
20.07°0.636 0.60 0.22 0.0008 121,662 47.214 0.03 8.00 48.04°0.67 0.74 72.79°1.470 0.43 1.40
21°0.638 0.60 0.23 0.0112 1,678,518 47.149 0.41 8.38 48.42°0.66 0.75 72.99°1.470 0.43 1.41
22°0.639 0.59 0.24 0.0113 1,684,126 47.076 0.41 8.80 48.83°0.66 0.75 73.21°1.471 0.42 1.41
22.49°0.640 0.59 0.24 0.0055 826,844 47.038 0.20 9.00 49.03°0.66 0.76 73.32°1.471 0.42 1.41
23°0.641 0.59 0.25 0.0113 1,690,020 46.999 0.42 9.21 49.24°0.65 0.76 73.43°1.471 0.42 1.41
24°0.643 0.59 0.26 0.0113 1,696,204 46.919 0.42 9.63 49.65°0.65 0.76 73.65°1.472 0.41 1.41
24.88°0.644 0.58 0.27 0.0100 1,493,620 46.846 0.37 10.00 50.02°0.64 0.77 73.84°1.472 0.41 1.41
25°0.645 0.58 0.27 0.0114 1,702,681 46.836 0.42 10.05 50.07°0.64 0.77 73.87°1.472 0.41 1.41
26°0.647 0.58 0.28 0.0114 1,709,455 46.749 0.42 10.47 50.48°0.64 0.77 74.09°1.473 0.40 1.42
27°0.649 0.58 0.29 0.0115 1,716,527 46.659 0.43 10.90 50.90°0.63 0.78 74.31°1.473 0.40 1.42
27.23°0.649 0.58 0.30 0.0027 399,258 46.638 0.10 11.00 51.00°0.63 0.78 74.37°1.473 0.40 1.42
28°0.651 0.57 0.31 0.0115 1,723,903 46.566 0.43 11.33 51.33°0.62 0.78 74.54°1.474 0.39 1.42
29°0.653 0.57 0.32 0.0116 1,731,585 46.469 0.43 11.76 51.75°0.62 0.79 74.76°1.474 0.39 1.42
29.55°0.654 0.57 0.32 0.0064 959,036 46.414 0.24 12.00 51.99°0.62 0.79 74.89°1.475 0.38 1.42
30°0.655 0.57 0.33 0.0116 1,739,577 46.369 0.43 12.19 52.18°0.61 0.79 74.99°1.475 0.38 1.42
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
31°0.657 0.56 0.34 0.0117 1,747,883 46.266 0.44 12.63 52.61°0.61 0.79 75.22°1.475 0.38 1.43
31.84°0.659 0.56 0.35 0.0098 1,467,703 46.177 0.37 13.00 52.97°0.60 0.80 75.41°1.476 0.37 1.43
32°0.660 0.56 0.35 0.0117 1,756,507 46.159 0.44 13.07 53.04°0.60 0.80 75.45°1.476 0.37 1.43
33°0.662 0.56 0.36 0.0118 1,765,454 46.050 0.44 13.52 53.48°0.60 0.80 75.68°1.476 0.37 1.43
34°0.665 0.55 0.37 0.0119 1,774,728 45.937 0.45 13.96 53.92°0.59 0.81 75.92°1.477 0.36 1.43
34.08°0.665 0.55 0.37 0.0010 145,534 45.927 0.04 14.00 53.96°0.59 0.81 75.94°1.477 0.36 1.43
35°0.667 0.55 0.38 0.0119 1,784,332 45.820 0.45 14.41 54.37°0.58 0.81 76.15°1.477 0.35 1.43
36°0.670 0.54 0.39 0.0120 1,794,273 45.701 0.45 14.87 54.81°0.58 0.82 76.39°1.478 0.35 1.44
36.29°0.671 0.54 0.40 0.0035 517,658 45.666 0.13 15.00 54.94°0.57 0.82 76.46°1.478 0.35 1.44
37°0.673 0.54 0.41 0.0121 1,804,555 45.578 0.46 15.33 55.27°0.57 0.82 76.63°1.479 0.34 1.44
38°0.676 0.53 0.42 0.0121 1,815,182 45.452 0.46 15.79 55.72°0.56 0.83 76.88°1.479 0.34 1.44
38.45°0.677 0.53 0.42 0.0055 825,869 45.394 0.21 16.00 55.93°0.56 0.83 76.99°1.479 0.33 1.44
39°0.679 0.53 0.43 0.0122 1,826,161 45.323 0.47 16.26 56.18°0.56 0.83 77.12°1.480 0.33 1.44
40°0.682 0.52 0.44 0.0123 1,837,497 45.191 0.47 16.73 56.65°0.55 0.84 77.37°1.480 0.32 1.44
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
40.58°0.684 0.52 0.44 0.0071 1,066,313 45.113 0.27 17.00 56.91°0.55 0.84 77.51°1.481 0.32 1.45
41°0.685 0.52 0.45 0.0124 1,849,194 45.055 0.48 17.20 57.11°0.54 0.84 77.61°1.481 0.32 1.45
42°0.689 0.51 0.46 0.0124 1,861,260 44.916 0.48 17.68 57.59°0.54 0.84 77.87°1.481 0.31 1.45
42.66°0.691 0.51 0.47 0.0083 1,235,144 44.823 0.32 18.00 57.90°0.53 0.85 78.03°1.482 0.31 1.45
43°0.692 0.51 0.47 0.0125 1,873,699 44.774 0.48 18.16 58.06°0.53 0.85 78.12°1.482 0.31 1.45
44°0.696 0.50 0.48 0.0126 1,886,519 44.629 0.49 18.65 58.55°0.52 0.85 78.38°1.483 0.30 1.45
44.70°0.698 0.50 0.49 0.0089 1,328,547 44.526 0.35 19.00 58.89°0.52 0.86 78.56°1.483 0.29 1.45
45°0.699 0.49 0.49 0.0127 1,899,725 44.481 0.49 19.15 59.03°0.51 0.86 78.64°1.483 0.29 1.45
46°0.703 0.49 0.51 0.0128 1,913,324 44.330 0.50 19.65 59.53°0.51 0.86 78.90°1.484 0.29 1.46
46.70°0.706 0.48 0.51 0.0090 1,342,752 44.223 0.35 20.00 59.87°0.50 0.86 79.08°1.484 0.28 1.46
47°0.707 0.48 0.52 0.0129 1,927,322 44.176 0.50 20.15 60.02°0.50 0.87 79.16°1.484 0.28 1.46
48°0.711 0.48 0.53 0.0130 1,941,727 44.018 0.51 20.66 60.53°0.49 0.87 79.43°1.485 0.27 1.46
48.65°0.713 0.47 0.54 0.0085 1,274,066 43.914 0.34 21.00 60.86°0.49 0.87 79.61°1.485 0.27 1.46
49°0.715 0.47 0.54 0.0131 1,956,545 43.858 0.52 21.18 61.04°0.48 0.87 79.70°1.486 0.27 1.46
50°0.719 0.46 0.55 0.0132 1,971,785 43.694 0.52 21.70 61.55°0.48 0.88 79.97°1.486 0.26 1.46
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
50.56°0.721 0.46 0.56 0.0075 1,118,891 43.600 0.30 22.00 61.84°0.47 0.88 80.13°1.487 0.25 1.46
51°0.723 0.46 0.56 0.0133 1,987,452 43.527 0.53 22.23 62.07°0.47 0.88 80.25°1.487 0.25 1.47
52°0.728 0.45 0.57 0.0134 2,003,556 43.358 0.53 22.77 62.60°0.46 0.89 80.53°1.488 0.24 1.47
52.43°0.729 0.44 0.58 0.0058 873,750 43.283 0.23 23.00 62.83°0.46 0.89 80.65°1.488 0.24 1.47
53°0.732 0.44 0.58 0.0135 2,020,105 43.185 0.54 23.31 63.13°0.45 0.89 80.81°1.488 0.24 1.47
54°0.737 0.43 0.60 0.0136 2,037,105 43.009 0.55 23.85 63.67°0.44 0.90 81.10°1.489 0.23 1.47
54.26°0.738 0.43 0.60 0.0036 535,306 42.963 0.14 24.00 63.81°0.44 0.90 81.18°1.489 0.23 1.47
55°0.741 0.43 0.61 0.0137 2,054,566 42.831 0.56 24.41 64.22°0.43 0.90 81.39°1.490 0.22 1.47
56°0.746 0.42 0.62 0.0139 2,072,496 42.649 0.56 24.97 64.77°0.43 0.90 81.69°1.490 0.22 1.47
56.05°0.746 0.42 0.62 0.0007 100,388 42.640 0.03 25.00 64.80°0.43 0.90 81.70°1.490 0.22 1.47
57°0.751 0.41 0.63 0.0140 2,090,904 42.464 0.57 25.54 65.34°0.42 0.91 81.99°1.491 0.21 1.48
57.79°0.755 0.40 0.64 0.0112 1,669,848 42.316 0.46 26.00 65.79°0.41 0.91 82.23°1.492 0.20 1.48
58°0.756 0.40 0.64 0.0141 2,109,798 42.277 0.58 26.12 65.90°0.41 0.91 82.29°1.492 0.20 1.48
59°0.761 0.39 0.65 0.0142 2,129,189 42.087 0.59 26.71 66.48°0.40 0.92 82.60°1.492 0.19 1.48
59.50°0.764 0.39 0.66 0.0071 1,063,258 41.991 0.29 27.00 66.77°0.39 0.92 82.75°1.493 0.19 1.48
60°0.767 0.38 0.66 0.0144 2,149,085 41.893 0.59 27.30 67.07°0.39 0.92 82.91°1.493 0.18 1.48
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
61°0.772 0.37 0.68 0.0145 2,169,497 41.697 0.60 27.90 67.66°0.38 0.92 83.22°1.494 0.18 1.48
61.16°0.773 0.37 0.68 0.0024 351,775 41.665 0.10 28.00 67.76°0.38 0.93 83.27°1.494 0.17 1.48
62°0.778 0.37 0.69 0.0146 2,190,433 41.498 0.61 28.51 68.26°0.37 0.93 83.54°1.495 0.17 1.49
62.79°0.782 0.36 0.70 0.0116 1,737,884 41.340 0.49 29.00 68.74°0.36 0.93 83.80°1.495 0.16 1.49
63°0.784 0.36 0.70 0.0148 2,211,904 41.296 0.62 29.13 68.87°0.36 0.93 83.87°1.496 0.16 1.49
64°0.789 0.35 0.71 0.0149 2,233,921 41.092 0.63 29.76 69.49°0.35 0.94 84.20°1.496 0.15 1.49
64.37°0.792 0.34 0.71 0.0056 839,613 41.015 0.24 30.00 69.73°0.35 0.94 84.32°1.497 0.15 1.49
65°0.795 0.34 0.72 0.0151 2,256,493 40.884 0.64 30.40 70.12°0.34 0.94 84.53°1.497 0.14 1.49
65.92°0.801 0.33 0.73 0.0141 2,106,485 40.690 0.60 31.00 70.71°0.33 0.94 84.85°1.498 0.13 1.49
66°0.802 0.33 0.73 0.0152 2,279,632 40.674 0.65 31.05 70.76°0.33 0.94 84.87°1.498 0.13 1.49
67°0.808 0.32 0.74 0.0154 2,303,348 40.461 0.66 31.71 71.41°0.32 0.95 85.22°1.499 0.12 1.49
67.44°0.811 0.31 0.75 0.0068 1,012,619 40.368 0.29 32.00 71.70°0.31 0.95 85.37°1.499 0.12 1.49
68°0.814 0.31 0.76 0.0156 2,327,653 40.246 0.67 32.38 72.07°0.31 0.95 85.57°1.500 0.12 1.50
68.92°0.820 0.30 0.77 0.0144 2,152,484 40.046 0.62 33.00 72.69°0.30 0.95 85.89°1.500 0.11 1.50
69°0.821 0.29 0.77 0.0157 2,352,557 40.027 0.68 33.06 72.74°0.30 0.95 85.92°1.500 0.11 1.50
70°0.828 0.28 0.78 0.0159 2,378,073 39.806 0.69 33.75 73.42°0.29 0.96 86.29°1.501 0.10 1.50
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
70.36°0.830 0.28 0.78 0.0057 855,316 39.727 0.25 34.00 73.67°0.28 0.96 86.42°1.502 0.09 1.50
71°0.835 0.27 0.79 0.0161 2,404,211 39.583 0.70 34.45 74.12°0.27 0.96 86.65°1.502 0.09 1.50
71.77°0.840 0.26 0.80 0.0124 1,860,933 39.409 0.55 35.00 74.66°0.26 0.96 86.94°1.503 0.08 1.50
72°0.842 0.26 0.80 0.0163 2,430,984 39.356 0.71 35.17 74.82°0.26 0.97 87.03°1.503 0.08 1.50
73°0.849 0.25 0.81 0.0164 2,458,403 39.127 0.73 35.89 75.54°0.25 0.97 87.41°1.504 0.07 1.50
73.14°0.850 0.25 0.81 0.0024 354,030 39.094 0.10 36.00 75.64°0.25 0.97 87.47°1.504 0.07 1.50
74°0.856 0.24 0.82 0.0166 2,486,482 38.896 0.74 36.63 76.27°0.24 0.97 87.80°1.505 0.06 1.50
74.49°0.860 0.23 0.83 0.0081 1,218,865 38.783 0.36 37.00 76.63°0.23 0.97 87.99°1.505 0.05 1.50
75°0.864 0.22 0.83 0.0168 2,515,231 38.662 0.75 37.39 77.01°0.22 0.97 88.19°1.506 0.05 1.51
75.80°0.870 0.21 0.84 0.0136 2,032,733 38.473 0.61 38.00 77.61°0.21 0.98 88.51°1.507 0.04 1.51
76°0.872 0.21 0.85 0.0170 2,544,665 38.425 0.77 38.15 77.77°0.21 0.98 88.59°1.507 0.04 1.51
77°0.880 0.20 0.86 0.0172 2,574,794 38.186 0.78 38.93 78.53°0.20 0.98 89.00°1.508 0.03 1.51
77.08°0.880 0.20 0.86 0.0014 215,557 38.166 0.07 39.00 78.60°0.20 0.98 89.04°1.508 0.03 1.51
78°0.888 0.18 0.87 0.0174 2,605,632 37.945 0.79 39.73 79.32°0.19 0.98 89.42°1.509 0.02 1.51
78.34°0.890 0.18 0.87 0.0059 880,262 37.863 0.27 40.00 79.58°0.18 0.98 89.56°1.509 0.01 1.51
79°0.896 0.17 0.88 0.0176 2,637,191 37.701 0.81 40.54 80.12°0.17 0.99 89.84°1.510 0.00 1.51
79.56°0.901 0.16 0.89 0.0100 1,490,103 37.563 0.46 41.00 80.57°0.16 0.99 90.08°1.511 0.00 1.51
80°0.904 0.16 0.89 0.0178 2,669,485 37.454 0.82 41.36 80.93°0.16 0.99 90.28°1.511 -0.01 1.51
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
80.76°0.911 0.15 0.90 0.0137 2,043,920 37.266 0.63 42.00 81.55°0.15 0.99 90.61°1.512 -0.02 1.51
81°0.913 0.14 0.90 0.0181 2,702,526 37.205 0.84 42.20 81.76°0.14 0.99 90.72°1.512 -0.02 1.51
81.93°0.921 0.13 0.91 0.0170 2,540,598 36.972 0.80 43.00 82.54°0.13 0.99 91.13°1.513 -0.03 1.51
82°0.922 0.13 0.91 0.0183 2,736,328 36.954 0.86 43.06 82.60°0.13 0.99 91.17°1.513 -0.03 1.51
83°0.931 0.11 0.92 0.0185 2,770,902 36.701 0.87 43.93 83.46°0.11 0.99 91.62°1.514 -0.04 1.51
83.07°0.932 0.11 0.92 0.0014 204,116 36.682 0.06 44.00 83.53°0.11 0.99 91.66°1.514 -0.04 1.51
84°0.940 0.10 0.94 0.0188 2,806,262 36.445 0.89 44.83 84.34°0.10 1.00 92.09°1.516 -0.06 1.51
84.19°0.942 0.10 0.94 0.0036 541,185 36.395 0.17 45.00 84.51°0.10 1.00 92.18°1.516 -0.06 1.51
85°0.950 0.08 0.95 0.0190 2,842,421 36.187 0.91 45.74 85.24°0.08 1.00 92.57°1.517 -0.07 1.52
85.29°0.952 0.08 0.95 0.0055 818,341 36.112 0.26 46.00 85.50°0.08 1.00 92.70°1.517 -0.07 1.52
86°0.959 0.07 0.96 0.0192 2,879,391 35.926 0.93 46.66 86.15°0.07 1.00 93.05°1.518 -0.08 1.52
86.36°0.963 0.06 0.96 0.0069 1,034,748 35.833 0.33 47.00 86.48°0.06 1.00 93.23°1.518 -0.09 1.52
87°0.969 0.05 0.97 0.0195 2,917,185 35.664 0.95 47.61 87.09°0.05 1.00 93.55°1.519 -0.09 1.52
87.40°0.973 0.04 0.97 0.0080 1,189,634 35.557 0.39 48.00 87.47°0.04 1.00 93.75°1.520 -0.10 1.52
88°0.979 0.03 0.98 0.0198 2,955,815 35.399 0.97 48.58 88.04°0.03 1.00 94.06°1.520 -0.11 1.52
88.43°0.984 0.03 0.98 0.0086 1,282,295 35.284 0.42 49.00 88.45°0.03 1.00 94.28°1.521 -0.11 1.52
89°0.989 0.02 0.99 0.0200 2,995,294 35.132 0.99 49.56 89.01°0.02 1.00 94.57°1.522 -0.12 1.52
89.43°0.994 0.01 0.99 0.0088 1,312,096 35.015 0.43 50.00 89.44°0.01 1.00 94.80°1.522 -0.13 1.52
90°1.000 0.00 1.00 0.0203 3,035,633 34.863 1.01 50.57 90.00°0.00 1.00 95.10°1.523 -0.14 1.52
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
90.42°1.004 -0.01 1.00 0.0085 1,278,473 34.750 0.43 51.00 90.42°-0.01 1.00 95.32°1.524 -0.14 1.52
91°1.011 -0.02 1.01 0.0206 3,076,843 34.591 1.03 51.60 91.02°-0.02 1.00 95.64°1.524 -0.15 1.52
91.38°1.015 -0.02 1.01 0.0079 1,180,934 34.488 0.40 52.00 91.41°-0.02 1.00 95.85°1.525 -0.16 1.52
92°1.022 -0.04 1.02 0.0208 3,118,937 34.318 1.05 52.65 92.06°-0.04 1.00 96.19°1.526 -0.16 1.52
92.32°1.025 -0.04 1.02 0.0068 1,019,061 34.229 0.34 53.00 92.39°-0.04 1.00 96.37°1.526 -0.17 1.52
93°1.033 -0.05 1.03 0.0211 3,161,925 34.043 1.08 53.73 93.11°-0.05 1.00 96.76°1.527 -0.18 1.52
93.25°1.036 -0.06 1.03 0.0053 792,509 33.974 0.27 54.00 93.38°-0.06 1.00 96.90°1.528 -0.18 1.52
94°1.044 -0.07 1.04 0.0214 3,205,817 33.766 1.10 54.83 94.20°-0.07 1.00 97.33°1.529 -0.20 1.52
94.16°1.046 -0.08 1.04 0.0033 501,007 33.722 0.17 55.00 94.37°-0.08 1.00 97.42°1.529 -0.20 1.52
95°1.056 -0.09 1.05 0.0217 3,250,623 33.486 1.12 55.95 95.31°-0.09 1.00 97.92°1.530 -0.21 1.52
95.04°1.056 -0.09 1.05 0.0009 138,361 33.474 0.05 56.00 95.35°-0.09 1.00 97.94°1.530 -0.21 1.52
95.88°1.066 -0.11 1.06 0.0184 2,748,232 33.240 0.96 57.00 96.30°-0.11 0.99 98.45°1.531 -0.22 1.51
96°1.068 -0.11 1.06 0.0230 3,439,154 33.205 1.20 57.15 96.49°-0.11 0.99 98.55°1.532 -0.23 1.51
97.38°1.085 -0.14 1.08 0.0309 4,616,166 32.815 1.63 58.00 98.09°-0.14 0.99 99.40°1.534 -0.25 1.51
98°1.092 -0.15 1.08 0.0233 3,488,649 32.637 1.24 58.39 97.71°-0.13 0.99 99.20°1.533 -0.25 1.51
98.00°1.092 -0.15 1.08 0.0000 0 32.637 0.00 59.00 97.71°-0.13 0.99 99.20°1.533 -0.25 1.51
98°1.092 -0.15 1.08 0.0237 3,539,099 32.637 1.26 59.64 98.94°-0.16 0.99 99.85°1.535 -0.26 1.51
98.29°1.096 -0.16 1.08 0.0067 1,000,233 32.554 0.36 60.00 99.29°-0.16 0.99 100.04°1.535 -0.27 1.51
99°1.105 -0.17 1.09 0.0240 3,439,154 32.351 1.23 60.87 97.70°-0.13 0.99 100.50°1.537 -0.28 1.51
99.10°1.106 -0.18 1.09 0.0024 355,715 32.321 0.13 61.00 97.82°-0.14 0.99 100.57°1.537 -0.28 1.51
99.90°1.117 -0.19 1.10 0.0185 2,770,153 32.092 1.00 62.00 98.81°-0.15 0.99 101.09°1.538 -0.30 1.51
100°1.118 -0.19 1.10 0.0244 3,488,649 32.062 1.26 62.13 98.95°-0.16 0.99 101.16°1.538 -0.30 1.51
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
100.67°1.127 -0.21 1.11 0.0159 2,382,309 31.867 0.87 63.00 99.80°-0.17 0.99 101.61°1.539 -0.31 1.51
101°1.131 -0.22 1.11 0.0237 3,539,099 31.772 1.29 63.42 100.21°-0.18 0.98 101.83°1.540 -0.32 1.51
101.44°1.137 -0.23 1.11 0.0105 1,572,876 31.644 0.58 64.00 100.78°-0.19 0.98 102.14°1.541 -0.32 1.51
102°1.145 -0.24 1.12 0.0240 3,590,508 31.480 1.32 64.74 99.00°-0.16 0.99 102.53°1.542 -0.33 1.50
102.19°1.147 -0.24 1.12 0.0047 697,932 31.424 0.26 65.00 99.25°-0.16 0.99 102.66°1.542 -0.34 1.50
102.93°1.158 -0.26 1.13 0.0180 2,696,975 31.207 1.00 66.00 100.24°-0.18 0.98 103.18°1.543 -0.35 1.50
103°1.159 -0.26 1.13 0.0244 3,642,878 31.187 1.35 66.09 100.28°-0.18 0.98 103.23°1.543 -0.35 1.50
103.66°1.168 -0.28 1.13 0.0162 2,418,990 30.993 0.90 67.00 101.17°-0.19 0.98 103.71°1.545 -0.37 1.50
104°1.173 -0.28 1.14 0.0247 3,696,209 30.892 1.38 67.48 101.58°-0.20 0.98 103.96°1.545 -0.37 1.50
104.37°1.178 -0.29 1.14 0.0092 1,378,103 30.782 0.52 68.00 102.09°-0.21 0.98 104.23°1.546 -0.38 1.50
105°1.187 -0.31 1.15 0.0251 3,750,499 30.595 1.42 68.90 100.40°-0.18 0.98 104.70°1.547 -0.39 1.50
105.76°1.198 -0.33 1.15 0.0193 2,887,256 30.369 1.10 70.00 101.48°-0.20 0.98 105.28°1.548 -0.41 1.49
106°1.201 -0.33 1.15 0.0254 3,805,747 30.297 1.45 70.35 101.83°-0.21 0.98 105.47°1.549 -0.41 1.49
106.44°1.208 -0.34 1.16 0.0112 1,680,438 30.166 0.64 71.00 102.47°-0.22 0.98 105.80°1.550 -0.42 1.49
107°1.216 -0.36 1.16 0.0258 3,861,947 29.997 1.49 71.84 103.30°-0.23 0.97 106.25°1.551 -0.43 1.49
107.11°1.218 -0.36 1.16 0.0027 410,333 29.966 0.16 72.00 103.46°-0.23 0.97 106.33°1.551 -0.44 1.49
107.76°1.228 -0.37 1.17 0.0171 2,563,236 29.769 1.00 73.00 104.44°-0.25 0.97 106.85°1.552 -0.45 1.49
108°1.231 -0.38 1.17 0.0262 3,919,093 29.696 1.53 73.37 104.81°-0.26 0.97 107.05°1.553 -0.46 1.48
108.40°1.238 -0.39 1.17 0.0107 1,601,911 29.574 0.63 74.00 105.42°-0.27 0.96 107.38°1.554 -0.46 1.48
109°1.247 -0.41 1.18 0.0266 3,977,175 29.394 1.57 74.93 106.35°-0.28 0.96 107.87°1.555 -0.48 1.48
109.04°1.248 -0.41 1.18 0.0011 168,464 29.381 0.07 75.00 106.42°-0.28 0.96 107.90°1.555 -0.48 1.48
109.66°1.257 -0.42 1.18 0.0168 2,507,999 29.192 0.99 76.00 107.40°-0.30 0.95 108.42°1.556 -0.49 1.48
110°1.263 -0.43 1.19 0.0270 4,036,182 29.091 1.61 76.54 107.93°-0.31 0.95 108.71°1.557 -0.50 1.47
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
110.28°1.267 -0.44 1.19 0.0076 1,142,087 29.005 0.46 77.00 108.38°-0.32 0.95 108.95°1.558 -0.51 1.47
110.89°1.277 -0.46 1.19 0.0166 2,490,160 28.820 1.00 78.00 109.37°-0.33 0.94 109.47°1.559 -0.52 1.47
111°1.279 -0.46 1.19 0.0274 4,096,100 28.786 1.65 78.19 109.56°-0.33 0.94 109.57°1.559 -0.52 1.47
111.48°1.287 -0.47 1.20 0.0133 1,997,051 28.638 0.81 79.00 110.35°-0.35 0.94 109.99°1.560 -0.53 1.47
112°1.295 -0.49 1.20 0.0278 4,156,912 28.480 1.69 79.87 111.22°-0.36 0.93 110.46°1.561 -0.55 1.46
112.07°1.296 -0.49 1.20 0.0020 303,007 28.457 0.12 80.00 111.34°-0.36 0.93 110.52°1.561 -0.55 1.46
112.65°1.306 -0.50 1.21 0.0162 2,429,115 28.280 0.99 81.00 112.32°-0.38 0.93 111.04°1.563 -0.56 1.46
113°1.312 -0.51 1.21 0.0282 4,218,599 28.172 1.73 81.61 112.93°-0.39 0.92 111.37°1.564 -0.57 1.46
113.22°1.316 -0.52 1.21 0.0063 938,838 28.105 0.39 82.00 113.31°-0.40 0.92 111.57°1.564 -0.57 1.45
113.78°1.325 -0.53 1.21 0.0161 2,407,526 27.931 1.00 83.00 114.29°-0.41 0.91 112.09°1.565 -0.59 1.45
114°1.329 -0.54 1.21 0.0286 4,281,139 27.864 1.78 83.39 114.68°-0.42 0.91 112.30°1.566 -0.59 1.45
114.34°1.335 -0.55 1.22 0.0097 1,454,515 27.760 0.61 84.00 115.28°-0.43 0.90 112.62°1.567 -0.60 1.45
114.88°1.344 -0.57 1.22 0.0159 2,384,604 27.591 1.00 85.00 116.27°-0.44 0.90 113.14°1.568 -0.62 1.44
115°1.346 -0.57 1.22 0.0290 4,344,504 27.555 1.82 85.21 116.48°-0.45 0.90 113.25°1.568 -0.62 1.44
115.42°1.353 -0.58 1.22 0.0124 1,849,588 27.424 0.78 86.00 117.25°-0.46 0.89 113.66°1.569 -0.63 1.44
115.96°1.363 -0.60 1.23 0.0158 2,360,434 27.259 1.00 87.00 118.24°-0.47 0.88 114.19°1.570 -0.64 1.43
116°1.364 -0.60 1.23 0.0295 4,408,665 27.245 1.87 87.08 118.33°-0.47 0.88 114.23°1.571 -0.64 1.43
116.48°1.372 -0.61 1.23 0.0142 2,123,884 27.096 0.91 88.00 119.22°-0.49 0.87 114.71°1.572 -0.66 1.43
117.00°1.381 -0.63 1.23 0.0156 2,335,104 26.934 1.00 89.00 120.21°-0.50 0.86 115.24°1.573 -0.67 1.42
117°1.382 -0.63 1.23 0.0299 4,473,589 26.933 1.92 89.01 120.22°-0.50 0.86 115.24°1.573 -0.67 1.42
117.50°1.391 -0.64 1.23 0.0152 2,277,501 26.776 0.98 90.00 121.19°-0.52 0.86 115.76°1.574 -0.68 1.42
118.01°1.400 -0.66 1.24 0.0154 2,308,703 26.618 1.00 91.00 122.18°-0.53 0.85 116.28°1.576 -0.70 1.41
118°1.400 -0.66 1.24 0.0303 4,539,239 26.621 1.97 90.98 122.17°-0.53 0.85 116.28°1.575 -0.70 1.41
118.01°1.400 -0.66 1.24 0.0003 45,713 26.618 0.02 91.00 122.19°-0.53 0.85 116.29°1.576 -0.70 1.41
118.50°1.409 -0.67 1.24 0.0151 2,265,086 26.464 0.99 92.00 123.16°-0.55 0.84 116.81°1.577 -0.71 1.41
119°1.418 -0.69 1.24 0.0308 4,605,572 26.309 2.03 93.01 124.16°-0.56 0.83 117.34°1.578 -0.72 1.40
119.48°1.427 -0.70 1.24 0.0149 2,224,386 26.159 0.98 94.00 125.13°-0.58 0.82 117.85°1.579 -0.74 1.40
119.96°1.436 -0.72 1.24 0.0151 2,253,060 26.008 1.00 95.00 126.12°-0.59 0.81 118.38°1.581 -0.75 1.39
120°1.437 -0.72 1.24 0.0312 4,672,543 25.995 2.08 95.09 126.21°-0.59 0.81 118.43°1.581 -0.75 1.39
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
120.43°1.445 -0.73 1.25 0.0135 2,019,117 25.861 0.90 96.00 127.10°-0.60 0.80 118.90°1.582 -0.76 1.38
120.90°1.454 -0.75 1.25 0.0149 2,224,003 25.714 1.00 97.00 128.09°-0.62 0.79 119.43°1.583 -0.78 1.38
121°1.456 -0.75 1.25 0.0317 4,740,102 25.681 2.14 97.22 128.32°-0.62 0.78 119.55°1.583 -0.78 1.38
121.35°1.463 -0.76 1.25 0.0113 1,696,070 25.570 0.77 98.00 129.08°-0.63 0.78 119.95°1.584 -0.79 1.37
121.81°1.472 -0.78 1.25 0.0147 2,194,244 25.426 1.00 99.00 130.06°-0.64 0.77 120.47°1.585 -0.80 1.37
122°1.476 -0.78 1.25 0.0321 4,808,194 25.367 2.19 99.42 130.48°-0.65 0.76 120.70°1.586 -0.81 1.36
122.26°1.481 -0.79 1.25 0.0084 1,256,539 25.285 0.58 100.00 131.05°-0.66 0.75 121.00°1.587 -0.82 1.36
122.70°1.490 -0.80 1.25 0.0145 2,163,874 25.145 1.00 101.00 132.03°-0.67 0.74 121.52°1.588 -0.83 1.35
123°1.495 -0.81 1.25 0.0326 4,876,757 25.051 2.25 101.67 132.70°-0.68 0.73 121.88°1.589 -0.84 1.35
123.14°1.498 -0.82 1.25 0.0047 702,023 25.006 0.32 102.00 133.02°-0.68 0.73 122.05°1.589 -0.84 1.35
123.57°1.507 -0.83 1.26 0.0143 2,132,983 24.870 0.99 103.00 134.00°-0.69 0.72 122.57°1.590 -0.86 1.34
124°1.516 -0.85 1.26 0.0331 4,945,726 24.736 2.31 103.98 134.98°-0.71 0.71 123.09°1.591 -0.87 1.33
124.01°1.516 -0.85 1.26 0.0002 34,205 24.734 0.02 104.00 135.00°-0.71 0.71 123.10°1.592 -0.87 1.33
124.43°1.524 -0.86 1.26 0.0140 2,101,656 24.601 0.99 105.00 135.97°-0.72 0.69 123.62°1.593 -0.88 1.33
125°1.536 -0.88 1.26 0.0335 5,015,031 24.420 2.38 106.36 137.33°-0.74 0.68 124.34°1.594 -0.90 1.32
125.26°1.541 -0.89 1.26 0.0089 1,324,926 24.337 0.63 107.00 137.95°-0.74 0.67 124.67°1.595 -0.91 1.31
125.67°1.550 -0.90 1.26 0.0139 2,081,660 24.208 1.00 108.00 138.93°-0.75 0.66 125.19°1.596 -0.92 1.30
126°1.557 -0.91 1.26 0.0340 5,084,595 24.104 2.44 108.80 139.73°-0.76 0.65 125.62°1.597 -0.93 1.30
126.08°1.558 -0.92 1.26 0.0027 404,294 24.079 0.19 109.00 139.92°-0.77 0.64 125.72°1.597 -0.93 1.30
126.48°1.567 -0.93 1.26 0.0137 2,049,125 23.953 0.99 110.00 140.90°-0.78 0.63 126.24°1.599 -0.94 1.29
127°1.578 -0.95 1.26 0.0345 5,154,337 23.788 2.51 111.31 142.20°-0.79 0.61 126.93°1.600 -0.96 1.28
127.27°1.583 -0.96 1.26 0.0093 1,392,625 23.703 0.68 112.00 142.87°-0.80 0.60 127.29°1.601 -0.97 1.27
127.66°1.591 -0.97 1.26 0.0135 2,026,944 23.580 0.99 113.00 143.85°-0.81 0.59 127.81°1.602 -0.98 1.27
128°1.599 -0.98 1.26 0.0349 5,224,168 23.472 2.58 113.89 144.74°-0.82 0.58 128.28°1.603 -0.99 1.26
128.04°1.600 -0.99 1.26 0.0015 226,646 23.458 0.11 114.00 144.85°-0.82 0.58 128.34°1.603 -0.99 1.26
128.42°1.608 -1.00 1.26 0.0133 1,993,591 23.339 0.99 115.00 145.83°-0.83 0.56 128.86°1.604 -1.01 1.25
128.80°1.616 -1.01 1.26 0.0134 2,003,560 23.219 1.00 116.00 146.81°-0.84 0.55 129.38°1.605 -1.02 1.24
129°1.620 -1.02 1.26 0.0354 5,293,995 23.156 2.65 116.53 147.35°-0.84 0.54 129.67°1.606 -1.03 1.24
129.17°1.624 -1.03 1.26 0.0061 918,271 23.101 0.46 117.00 147.80°-0.85 0.53 129.91°1.607 -1.03 1.23
129.54°1.632 -1.04 1.26 0.0132 1,969,670 22.985 0.99 118.00 148.78°-0.86 0.52 130.43°1.608 -1.04 1.22
129.91°1.640 -1.05 1.26 0.0132 1,979,095 22.869 1.00 119.00 149.77°-0.86 0.50 130.95°1.609 -1.05 1.22
130°1.642 -1.06 1.26 0.0359 5,363,718 22.839 2.72 119.25 150.03°-0.87 0.50 131.09°1.609 -1.06 1.21
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
130.27°1.648 -1.07 1.26 0.0097 1,452,250 22.755 0.74 120.00 150.76°-0.87 0.49 131.48°1.610 -1.07 1.21
130.63°1.656 -1.08 1.26 0.0130 1,944,777 22.642 0.99 121.00 151.74°-0.88 0.47 132.00°1.611 -1.08 1.20
130.98°1.664 -1.09 1.26 0.0131 1,953,673 22.529 1.00 122.00 152.73°-0.89 0.46 132.52°1.612 -1.09 1.19
131°1.664 -1.09 1.26 0.0363 5,433,233 22.524 2.79 122.04 152.78°-0.89 0.46 132.55°1.612 -1.09 1.19
131.33°1.672 -1.10 1.26 0.0122 1,830,213 22.418 0.94 123.00 153.71°-0.90 0.44 133.05°1.613 -1.10 1.18
131.68°1.679 -1.12 1.25 0.0128 1,919,032 22.308 1.00 124.00 154.69°-0.90 0.43 133.57°1.614 -1.11 1.17
132.03°1.687 -1.13 1.25 0.0129 1,927,413 22.198 1.00 125.00 155.69°-0.91 0.41 134.10°1.615 -1.12 1.16
132°1.686 -1.13 1.25 0.0368 5,502,428 22.208 2.87 124.91 155.61°-0.91 0.41 134.06°1.615 -1.12 1.16
132.03°1.687 -1.13 1.25 0.0011 169,573 22.199 0.09 125.00 155.70°-0.91 0.41 134.10°1.615 -1.12 1.16
132.37°1.695 -1.14 1.25 0.0126 1,884,647 22.092 0.99 126.00 156.67°-0.92 0.40 134.62°1.616 -1.14 1.15
132.71°1.702 -1.15 1.25 0.0127 1,892,553 21.985 1.00 127.00 157.65°-0.92 0.38 135.14°1.617 -1.15 1.14
133°1.709 -1.17 1.25 0.0372 5,571,186 21.893 2.95 127.86 158.51°-0.93 0.37 135.60°1.618 -1.16 1.13
133.05°1.710 -1.17 1.25 0.0018 268,698 21.878 0.14 128.00 158.65°-0.93 0.36 135.67°1.618 -1.16 1.13
133.38°1.718 -1.18 1.25 0.0124 1,858,025 21.774 0.99 129.00 159.62°-0.94 0.35 136.19°1.619 -1.17 1.12
133.71°1.725 -1.19 1.25 0.0125 1,865,454 21.670 1.00 130.00 160.61°-0.94 0.33 136.71°1.620 -1.18 1.11
134°1.732 -1.20 1.25 0.0377 5,639,386 21.579 3.02 130.88 161.49°-0.95 0.32 137.18°1.621 -1.19 1.10
134.04°1.733 -1.20 1.25 0.0015 219,664 21.567 0.12 131.00 161.61°-0.95 0.32 137.25°1.622 -1.19 1.10
134.36°1.740 -1.22 1.24 0.0122 1,830,876 21.466 0.99 132.00 162.58°-0.95 0.30 137.76°1.623 -1.20 1.09
134.68°1.747 -1.23 1.24 0.0123 1,837,846 21.365 1.00 133.00 163.56°-0.96 0.28 138.29°1.624 -1.21 1.08
135°1.755 -1.24 1.24 0.0381 5,706,899 21.266 3.11 133.99 164.55°-0.96 0.27 138.81°1.624 -1.22 1.07
135.00°1.755 -1.24 1.24 0.0002 25,511 21.264 0.01 134.00 164.57°-0.96 0.27 138.82°1.625 -1.22 1.07
135.32°1.762 -1.25 1.24 0.0121 1,803,306 21.166 0.99 135.00 165.54°-0.97 0.25 139.34°1.625 -1.23 1.06
135.63°1.769 -1.26 1.24 0.0121 1,809,836 21.068 0.99 136.00 166.52°-0.97 0.23 139.86°1.626 -1.24 1.05
136°1.778 -1.28 1.24 0.0386 5,773,592 20.953 3.19 137.18 167.70°-0.98 0.21 140.48°1.628 -1.26 1.04
136.25°1.784 -1.29 1.23 0.0098 1,465,006 20.874 0.81 138.00 168.50°-0.98 0.20 140.91°1.628 -1.26 1.03
136.56°1.791 -1.30 1.23 0.0119 1,781,527 20.779 0.99 139.00 169.48°-0.98 0.18 141.43°1.629 -1.27 1.02
136.86°1.798 -1.31 1.23 0.0119 1,787,604 20.684 1.00 140.00 170.46°-0.99 0.17 141.95°1.630 -1.28 1.00
137°1.801 -1.32 1.23 0.0390 5,839,329 20.641 3.27 140.45 170.92°-0.99 0.16 142.20°1.631 -1.29 1.00
137.16°1.805 -1.32 1.23 0.0064 962,816 20.590 0.54 141.00 171.46°-0.99 0.15 142.48°1.631 -1.29 0.99
137.46°1.812 -1.34 1.23 0.0117 1,753,015 20.498 0.99 142.00 172.43°-0.99 0.13 143.00°1.632 -1.30 0.98
137.76°1.819 -1.35 1.22 0.0118 1,758,689 20.405 1.00 143.00 173.42°-0.99 0.11 143.52°1.633 -1.31 0.97
138°1.825 -1.36 1.22 0.0395 5,903,968 20.330 3.36 143.81 174.24°-0.99 0.10 143.96°1.634 -1.32 0.96
138.05°1.826 -1.36 1.22 0.0022 326,190 20.313 0.19 144.00 174.42°-1.00 0.10 144.06°1.634 -1.32 0.96
138.34°1.833 -1.37 1.22 0.0115 1,724,394 20.224 0.99 145.00 175.39°-1.00 0.08 144.58°1.635 -1.33 0.95
138.63°1.840 -1.38 1.22 0.0116 1,729,683 20.134 0.99 146.00 176.37°-1.00 0.06 145.10°1.636 -1.34 0.94
138.92°1.847 -1.39 1.21 0.0116 1,734,939 20.044 1.00 147.00 177.36°-1.00 0.05 145.62°1.636 -1.35 0.92
139°1.849 -1.40 1.21 0.0399 5,967,364 20.021 3.45 147.26 177.64°-1.00 0.04 145.77°1.637 -1.35 0.92
139.21°1.854 -1.40 1.21 0.0084 1,255,023 19.957 0.73 148.00 178.36°-1.00 0.03 146.15°1.637 -1.36 0.91
139.49°1.860 -1.41 1.21 0.0114 1,700,673 19.870 0.99 149.00 179.33°-1.00 0.01 146.67°1.638 -1.37 0.90
139.77°1.867 -1.43 1.21 0.0114 1,705,564 19.783 1.00 150.00 180.31°-1.00 -0.01 147.19°1.639 -1.38 0.89
140°1.873 -1.43 1.20 0.0403 6,029,369 19.713 3.54 150.80 181.13°-1.00 -0.02 147.62°1.640 -1.38 0.88
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
140.06°1.874 -1.44 1.20 0.0022 333,542 19.696 0.20 151.00 181.32°-1.00 -0.02 147.73°1.640 -1.39 0.88
140.33°1.881 -1.45 1.20 0.0112 1,671,740 19.612 0.99 152.00 182.29°-1.00 -0.04 148.24°1.641 -1.39 0.86
140.61°1.887 -1.46 1.20 0.0112 1,676,284 19.528 0.99 153.00 183.27°-1.00 -0.06 148.76°1.641 -1.40 0.85
140.88°1.894 -1.47 1.19 0.0112 1,680,793 19.443 1.00 154.00 184.26°-1.00 -0.07 149.29°1.642 -1.41 0.84
141°1.897 -1.47 1.19 0.0407 6,089,832 19.407 3.63 154.43 184.71°-1.00 -0.08 149.53°1.643 -1.42 0.83
141.15°1.900 -1.48 1.19 0.0062 933,631 19.360 0.56 155.00 185.26°-1.00 -0.09 149.82°1.643 -1.42 0.83
141.42°1.907 -1.49 1.19 0.0110 1,647,176 19.279 0.99 156.00 186.23°-0.99 -0.11 150.34°1.644 -1.43 0.81
141.69°1.913 -1.50 1.19 0.0110 1,651,358 19.197 1.00 157.00 187.21°-0.99 -0.13 150.86°1.644 -1.44 0.80
141.96°1.920 -1.51 1.18 0.0111 1,655,503 19.115 1.00 158.00 188.20°-0.99 -0.14 151.38°1.645 -1.44 0.79
142°1.921 -1.51 1.18 0.0411 6,148,603 19.102 3.73 158.16 188.38°-0.99 -0.15 151.48°1.645 -1.45 0.79
142.22°1.926 -1.52 1.18 0.0091 1,363,751 19.036 0.83 159.00 189.20°-0.99 -0.16 151.91°1.646 -1.45 0.77
142.48°1.932 -1.53 1.18 0.0108 1,622,182 18.956 0.99 160.00 190.17°-0.98 -0.18 152.43°1.647 -1.46 0.76
142.74°1.939 -1.54 1.17 0.0109 1,626,019 18.877 1.00 161.00 191.15°-0.98 -0.19 152.95°1.647 -1.47 0.75
143°1.945 -1.55 1.17 0.0415 6,205,529 18.800 3.82 161.98 192.14°-0.98 -0.21 153.48°1.648 -1.47 0.74
143.01°1.945 -1.55 1.17 0.0002 35,232 18.798 0.02 162.00 192.17°-0.98 -0.21 153.49°1.648 -1.47 0.74
143.26°1.951 -1.56 1.17 0.0107 1,593,329 18.721 0.99 163.00 193.14°-0.97 -0.23 154.01°1.649 -1.48 0.72
143.52°1.957 -1.57 1.16 0.0107 1,596,876 18.645 0.99 164.00 194.11°-0.97 -0.24 154.53°1.649 -1.49 0.71
143.77°1.963 -1.58 1.16 0.0107 1,600,386 18.568 1.00 165.00 195.10°-0.97 -0.26 155.05°1.650 -1.50 0.70
144°1.969 -1.59 1.16 0.0418 6,260,460 18.500 3.92 165.89 196.00°-0.96 -0.28 155.53°1.651 -1.50 0.68
144.03°1.970 -1.59 1.16 0.0011 164,982 18.492 0.10 166.00 196.11°-0.96 -0.28 155.59°1.651 -1.50 0.68
144.28°1.976 -1.60 1.15 0.0105 1,568,132 18.417 0.99 167.00 197.08°-0.96 -0.29 156.10°1.651 -1.51 0.67
144.52°1.982 -1.61 1.15 0.0105 1,571,370 18.343 0.99 168.00 198.05°-0.95 -0.31 156.62°1.652 -1.52 0.66
144.77°1.988 -1.62 1.15 0.0105 1,574,573 18.269 1.00 169.00 199.04°-0.95 -0.33 157.15°1.653 -1.52 0.64
145°1.993 -1.63 1.14 0.0422 6,313,247 18.201 4.01 169.91 199.96°-0.94 -0.34 157.64°1.653 -1.53 0.63
145.01°1.993 -1.63 1.14 0.0004 64,538 18.198 0.04 170.00 200.00°-0.94 -0.34 157.66°1.653 -1.53 0.63
145.24°1.999 -1.64 1.14 0.0098 1,467,256 18.130 0.94 171.00 200.92°-0.93 -0.36 158.15°1.654 -1.53 0.62
145.47°2.005 -1.65 1.14 0.0098 1,471,950 18.061 0.94 172.00 201.85°-0.93 -0.37 158.64°1.654 -1.54 0.60
145.70°2.010 -1.66 1.13 0.0098 1,473,379 17.993 0.95 173.00 202.79°-0.92 -0.39 159.14°1.655 -1.55 0.59
145.94°2.016 -1.67 1.13 0.0099 1,476,668 17.925 0.95 174.00 203.73°-0.92 -0.40 159.64°1.655 -1.55 0.58
146°2.017 -1.67 1.13 0.0425 6,363,746 17.906 4.11 174.02 204.02°-0.91 -0.41 159.79°1.655 -1.55 0.57
146.23°2.023 -1.68 1.12 0.0099 1,483,263 17.838 0.96 175.00 204.96°-0.91 -0.42 160.30°1.656 -1.56 0.56
146.47°2.029 -1.69 1.12 0.0102 1,520,179 17.768 0.99 176.00 205.94°-0.90 -0.44 160.82°1.656 -1.56 0.54
146.71°2.034 -1.70 1.12 0.0102 1,522,820 17.699 1.00 177.00 206.92°-0.89 -0.45 161.34°1.657 -1.57 0.53
146.94°2.040 -1.71 1.11 0.0102 1,525,428 17.630 1.00 178.00 207.91°-0.88 -0.47 161.86°1.657 -1.58 0.52
147°2.042 -1.71 1.11 0.0429 6,411,816 17.613 4.21 178.24 208.17°-0.88 -0.47 162.00°1.658 -1.58 0.51
147.18°2.046 -1.72 1.11 0.0076 1,140,410 17.562 0.75 179.00 208.91°-0.88 -0.48 162.39°1.658 -1.58 0.50
147.41°2.051 -1.73 1.10 0.0100 1,494,683 17.494 0.99 180.00 209.88°-0.87 -0.50 162.91°1.658 -1.59 0.49
147.64°2.057 -1.74 1.10 0.0100 1,497,071 17.427 0.99 181.00 210.86°-0.86 -0.51 163.43°1.659 -1.59 0.47
147.87°2.063 -1.75 1.10 0.0100 1,499,425 17.360 1.00 182.00 211.85°-0.85 -0.53 163.96°1.659 -1.59 0.46
148°2.066 -1.75 1.09 0.0432 6,457,323 17.324 4.31 182.55 212.42°-0.84 -0.54 164.26°1.659 -1.60 0.45
148.10°2.068 -1.76 1.09 0.0044 660,297 17.294 0.44 183.00 212.86°-0.84 -0.54 164.49°1.660 -1.60 0.44
148.33°2.073 -1.76 1.09 0.0098 1,469,370 17.229 0.99 184.00 213.83°-0.83 -0.56 165.01°1.660 -1.60 0.43
148.55°2.079 -1.77 1.08 0.0098 1,471,520 17.164 0.99 185.00 214.81°-0.82 -0.57 165.53°1.660 -1.61 0.41
148.78°2.084 -1.78 1.08 0.0099 1,473,638 17.099 1.00 186.00 215.79°-0.81 -0.58 166.05°1.661 -1.61 0.40
149°2.090 -1.79 1.08 0.0435 6,500,142 17.037 4.42 186.97 216.77°-0.80 -0.60 166.57°1.661 -1.62 0.39
149.01°2.090 -1.79 1.08 0.0003 49,105 17.035 0.03 187.00 216.81°-0.80 -0.60 166.59°1.661 -1.62 0.39
149.23°2.095 -1.80 1.07 0.0097 1,444,318 16.972 0.98 188.00 217.78°-0.79 -0.61 167.11°1.662 -1.62 0.37
149.45°2.100 -1.81 1.07 0.0097 1,446,247 16.909 0.99 189.00 218.75°-0.78 -0.63 167.63°1.662 -1.62 0.36
149.67°2.106 -1.82 1.06 0.0097 1,448,145 16.847 0.99 190.00 219.73°-0.77 -0.64 168.15°1.662 -1.63 0.34
149.89°2.111 -1.83 1.06 0.0097 1,450,011 16.784 1.00 191.00 220.72°-0.76 -0.65 168.67°1.663 -1.63 0.33
150°2.113 -1.83 1.06 0.0437 6,540,159 16.754 4.52 191.48 221.23°-0.75 -0.66 168.94°1.663 -1.63 0.32
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
150.11°2.116 -1.83 1.05 0.0049 732,694 16.723 0.51 192.00 221.73°-0.75 -0.67 169.21°1.663 -1.63 0.31
150.33°2.121 -1.84 1.05 0.0095 1,421,324 16.662 0.99 193.00 222.70°-0.73 -0.68 169.73°1.663 -1.64 0.30
150.54°2.126 -1.85 1.05 0.0095 1,423,017 16.602 0.99 194.00 223.68°-0.72 -0.69 170.25°1.663 -1.64 0.28
150.76°2.131 -1.86 1.04 0.0095 1,424,680 16.541 1.00 195.00 224.66°-0.71 -0.70 170.77°1.664 -1.64 0.27
150.98°2.136 -1.87 1.04 0.0095 1,426,312 16.481 1.00 196.00 225.65°-0.70 -0.72 171.29°1.664 -1.64 0.25
151°2.137 -1.87 1.04 0.0440 6,577,270 16.475 4.62 196.10 225.78°-0.70 -0.72 171.36°1.664 -1.65 0.25
151.19°2.141 -1.88 1.03 0.0084 1,250,642 16.423 0.88 197.00 226.65°-0.69 -0.73 171.83°1.664 -1.65 0.24
151.40°2.146 -1.88 1.03 0.0093 1,398,318 16.364 0.99 198.00 227.62°-0.67 -0.74 172.34°1.664 -1.65 0.22
151.61°2.151 -1.89 1.02 0.0094 1,399,793 16.306 0.99 199.00 228.60°-0.66 -0.75 172.86°1.665 -1.65 0.21
151.82°2.156 -1.90 1.02 0.0094 1,401,239 16.248 1.00 200.00 229.59°-0.65 -0.76 173.39°1.665 -1.65 0.19
152°2.160 -1.91 1.01 0.0442 6,611,386 16.200 4.72 200.83 230.44°-0.64 -0.77 173.84°1.665 -1.66 0.18
152.04°2.161 -1.91 1.01 0.0016 235,933 16.190 0.17 201.00 230.60°-0.63 -0.77 173.93°1.665 -1.66 0.18
152.24°2.166 -1.92 1.01 0.0092 1,374,107 16.134 0.99 202.00 231.57°-0.62 -0.78 174.44°1.665 -1.66 0.16
152.45°2.171 -1.92 1.00 0.0092 1,375,409 16.078 0.99 203.00 232.55°-0.61 -0.79 174.96°1.665 -1.66 0.15
152.66°2.176 -1.93 1.00 0.0092 1,376,682 16.022 0.99 204.00 233.53°-0.59 -0.80 175.48°1.665 -1.66 0.13
152.86°2.180 -1.94 0.99 0.0092 1,377,927 15.966 1.00 205.00 234.51°-0.58 -0.81 176.01°1.665 -1.66 0.12
153°2.183 -1.95 0.99 0.0444 6,642,434 15.929 4.83 205.65 235.19°-0.57 -0.82 176.37°1.666 -1.66 0.11
153.07°2.185 -1.95 0.99 0.0031 466,645 15.910 0.34 206.00 235.53°-0.57 -0.82 176.55°1.666 -1.66 0.10
153.27°2.190 -1.96 0.98 0.0090 1,351,579 15.856 0.99 207.00 236.50°-0.55 -0.83 177.06°1.666 -1.66 0.09
153.48°2.194 -1.96 0.98 0.0090 1,352,693 15.802 0.99 208.00 237.48°-0.54 -0.84 177.58°1.666 -1.66 0.07
153.68°2.199 -1.97 0.98 0.0090 1,353,782 15.748 0.99 209.00 238.46°-0.52 -0.85 178.10°1.666 -1.66 0.06
153.88°2.204 -1.98 0.97 0.0091 1,354,843 15.694 1.00 210.00 239.44°-0.51 -0.86 178.63°1.666 -1.67 0.04
154°2.206 -1.98 0.97 0.0446 6,670,358 15.663 4.93 210.58 240.05°-0.50 -0.87 178.95°1.666 -1.67 0.03
154.08°2.208 -1.99 0.97 0.0037 553,380 15.641 0.41 211.00 240.45°-0.49 -0.87 179.17°1.666 -1.67 0.02
154.28°2.213 -1.99 0.96 0.0089 1,329,320 15.589 0.99 212.00 241.43°-0.48 -0.88 179.68°1.666 -1.67 0.01
154.48°2.217 -2.00 0.96 0.0089 1,330,263 15.537 0.99 213.00 242.40°-0.46 -0.89 180.20°1.666 -1.67 -0.01
154.68°2.222 -2.01 0.95 0.0089 1,331,182 15.485 0.99 214.00 243.38°-0.45 -0.89 180.72°1.666 -1.67 -0.02
154.88°2.226 -2.02 0.95 0.0089 1,332,076 15.434 1.00 215.00 244.37°-0.43 -0.90 181.25°1.666 -1.67 -0.04
155°2.229 -2.02 0.94 0.0448 6,695,123 15.402 5.03 215.61 245.01°-0.42 -0.91 181.59°1.666 -1.67 -0.05
155.08°2.230 -2.02 0.94 0.0034 503,661 15.383 0.38 216.00 245.38°-0.42 -0.91 181.79°1.666 -1.66 -0.05
155.27°2.235 -2.03 0.93 0.0087 1,307,414 15.333 0.99 217.00 246.36°-0.40 -0.92 182.30°1.666 -1.66 -0.07
155.46°2.239 -2.04 0.93 0.0087 1,308,201 15.283 0.99 218.00 247.33°-0.39 -0.92 182.82°1.666 -1.66 -0.08
155.66°2.243 -2.04 0.92 0.0087 1,308,965 15.233 0.99 219.00 248.31°-0.37 -0.93 183.34°1.666 -1.66 -0.10
155.85°2.248 -2.05 0.92 0.0088 1,309,706 15.183 1.00 220.00 249.30°-0.35 -0.94 183.87°1.665 -1.66 -0.11
156°2.251 -2.06 0.92 0.0449 6,716,714 15.146 5.13 220.75 250.07°-0.34 -0.94 184.28°1.665 -1.66 -0.12
156.05°2.252 -2.06 0.91 0.0022 325,058 15.134 0.25 221.00 250.31°-0.34 -0.94 184.41°1.665 -1.66 -0.13
156.24°2.256 -2.06 0.91 0.0086 1,285,938 15.086 0.99 222.00 251.29°-0.32 -0.95 184.92°1.665 -1.66 -0.14
156.43°2.260 -2.07 0.90 0.0086 1,286,583 15.038 0.99 223.00 252.26°-0.30 -0.95 185.44°1.665 -1.66 -0.16
156.62°2.264 -2.08 0.90 0.0086 1,287,207 14.990 0.99 224.00 253.24°-0.29 -0.96 185.96°1.665 -1.66 -0.17
156.81°2.268 -2.09 0.89 0.0086 1,287,809 14.943 1.00 225.00 254.22°-0.27 -0.96 186.49°1.665 -1.65 -0.19
157°2.272 -2.09 0.89 0.0450 6,735,142 14.896 5.23 225.98 255.23°-0.26 -0.97 187.02°1.665 -1.65 -0.20
157.00°2.273 -2.09 0.89 0.0002 25,117 14.896 0.02 226.00 255.25°-0.25 -0.97 187.03°1.665 -1.65 -0.20
157.19°2.277 -2.10 0.88 0.0085 1,264,961 14.849 0.99 227.00 256.22°-0.24 -0.97 187.55°1.664 -1.65 -0.22
157.38°2.281 -2.11 0.88 0.0085 1,265,478 14.803 0.99 228.00 257.19°-0.22 -0.98 188.06°1.664 -1.65 -0.23
157.57°2.285 -2.11 0.87 0.0085 1,265,975 14.758 0.99 229.00 258.17°-0.20 -0.98 188.58°1.664 -1.65 -0.25
157.75°2.288 -2.12 0.87 0.0085 1,266,452 14.712 1.00 230.00 259.15°-0.19 -0.98 189.11°1.664 -1.64 -0.26
157.94°2.292 -2.12 0.86 0.0085 1,266,909 14.667 1.00 231.00 260.14°-0.17 -0.99 189.63°1.663 -1.64 -0.28
158°2.294 -2.13 0.86 0.0451 6,750,440 14.652 5.33 231.31 260.48°-0.17 -0.99 189.81°1.663 -1.64 -0.28
158.13°2.296 -2.13 0.86 0.0057 855,856 14.622 0.68 232.00 261.15°-0.15 -0.99 190.17°1.663 -1.64 -0.29
158.31°2.300 -2.14 0.85 0.0083 1,244,949 14.578 0.99 233.00 262.12°-0.14 -0.99 190.69°1.663 -1.63 -0.31
158.49°2.304 -2.14 0.84 0.0083 1,245,332 14.534 0.99 234.00 263.10°-0.12 -0.99 191.21°1.663 -1.63 -0.32
158.68°2.308 -2.15 0.84 0.0083 1,245,696 14.490 0.99 235.00 264.08°-0.10 -0.99 191.73°1.662 -1.63 -0.34
158.86°2.312 -2.16 0.83 0.0083 1,246,042 14.447 1.00 236.00 265.07°-0.09 -1.00 192.25°1.662 -1.62 -0.35
159°2.314 -2.16 0.83 0.0452 6,762,669 14.415 5.43 236.74 265.83°-0.07 -1.00 192.66°1.662 -1.62 -0.36
159.05°2.315 -2.16 0.83 0.0021 315,726 14.404 0.25 237.00 266.08°-0.07 -1.00 192.79°1.662 -1.62 -0.37
159.23°2.319 -2.17 0.82 0.0082 1,225,050 14.362 0.99 238.00 267.06°-0.05 -1.00 193.31°1.661 -1.62 -0.38
159.41°2.323 -2.17 0.82 0.0082 1,225,332 14.320 0.99 239.00 268.03°-0.03 -1.00 193.83°1.661 -1.61 -0.40
159.59°2.326 -2.18 0.81 0.0082 1,225,596 14.278 0.99 240.00 269.01°-0.02 -1.00 194.35°1.661 -1.61 -0.41
159.77°2.330 -2.19 0.81 0.0082 1,225,843 14.237 1.00 241.00 269.99°0.00 -1.00 194.87°1.660 -1.60 -0.43
159.95°2.333 -2.19 0.80 0.0082 1,226,073 14.195 1.00 242.00 270.98°0.02 -1.00 195.39°1.660 -1.60 -0.44
160°2.334 -2.19 0.80 0.0453 6,771,917 14.184 5.53 242.27 271.28°0.02 -1.00 195.55°1.660 -1.60 -0.45
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
160.13°2.337 -2.20 0.79 0.0059 882,728 14.155 0.72 243.00 271.99°0.03 -1.00 195.93°1.659 -1.60 -0.46
160.31°2.340 -2.20 0.79 0.0081 1,206,026 14.115 0.99 244.00 272.97°0.05 -1.00 196.45°1.659 -1.59 -0.47
160.49°2.344 -2.21 0.78 0.0081 1,206,201 14.075 0.99 245.00 273.94°0.07 -1.00 196.97°1.658 -1.59 -0.48
160.66°2.347 -2.21 0.78 0.0081 1,206,360 14.035 0.99 246.00 274.92°0.09 -1.00 197.49°1.658 -1.58 -0.50
160.84°2.351 -2.22 0.77 0.0081 1,206,505 13.996 1.00 247.00 275.91°0.10 -0.99 198.01°1.658 -1.58 -0.51
161°2.354 -2.23 0.77 0.0453 6,778,299 13.961 5.62 247.89 276.82°0.12 -0.99 198.50°1.657 -1.57 -0.53
161.02°2.354 -2.23 0.77 0.0009 133,679 13.957 0.11 248.00 276.93°0.12 -0.99 198.56°1.657 -1.57 -0.53
161.19°2.358 -2.23 0.76 0.0079 1,187,459 13.918 0.99 249.00 277.90°0.14 -0.99 199.07°1.657 -1.57 -0.54
161.37°2.361 -2.24 0.75 0.0079 1,187,555 13.880 0.99 250.00 278.88°0.15 -0.99 199.59°1.656 -1.56 -0.56
161.55°2.364 -2.24 0.75 0.0079 1,187,638 13.842 0.99 251.00 279.86°0.17 -0.99 200.11°1.655 -1.55 -0.57
161.72°2.367 -2.25 0.74 0.0079 1,187,707 13.805 1.00 252.00 280.84°0.19 -0.98 200.64°1.655 -1.55 -0.58
161.90°2.371 -2.25 0.74 0.0079 1,187,762 13.767 1.00 253.00 281.82°0.20 -0.98 201.16°1.654 -1.54 -0.60
162°2.373 -2.26 0.73 0.0453 6,781,959 13.745 5.71 253.60 282.45°0.22 -0.98 201.49°1.654 -1.54 -0.61
162.07°2.374 -2.26 0.73 0.0031 470,040 13.731 0.40 254.00 282.84°0.22 -0.98 201.70°1.654 -1.54 -0.61
162.24°2.377 -2.26 0.73 0.0078 1,169,699 13.694 0.99 255.00 283.81°0.24 -0.97 202.22°1.653 -1.53 -0.63
162.41°2.380 -2.27 0.72 0.0078 1,169,715 13.658 0.99 256.00 284.79°0.26 -0.97 202.74°1.653 -1.52 -0.64
162.59°2.383 -2.27 0.71 0.0078 1,169,718 13.622 0.99 257.00 285.77°0.27 -0.96 203.26°1.652 -1.52 -0.65
162.76°2.386 -2.28 0.71 0.0078 1,169,709 13.587 1.00 258.00 286.75°0.29 -0.96 203.78°1.651 -1.51 -0.67
162.93°2.390 -2.28 0.70 0.0078 1,169,688 13.552 1.00 259.00 287.74°0.30 -0.95 204.30°1.651 -1.50 -0.68
163°2.391 -2.29 0.70 0.0453 6,783,068 13.538 5.80 259.40 288.16°0.31 -0.95 204.53°1.651 -1.50 -0.69
163.10°2.393 -2.29 0.70 0.0046 694,585 13.517 0.59 260.00 288.75°0.32 -0.95 204.84°1.650 -1.50 -0.69
163.27°2.396 -2.29 0.69 0.0077 1,152,625 13.482 0.99 261.00 289.72°0.34 -0.94 205.36°1.650 -1.49 -0.71
163.44°2.399 -2.30 0.68 0.0077 1,152,572 13.448 0.99 262.00 290.70°0.35 -0.94 205.88°1.649 -1.48 -0.72
163.61°2.402 -2.30 0.68 0.0077 1,152,508 13.415 0.99 263.00 291.68°0.37 -0.93 206.40°1.648 -1.48 -0.73
163.78°2.404 -2.31 0.67 0.0077 1,152,434 13.381 1.00 264.00 292.66°0.39 -0.92 206.92°1.647 -1.47 -0.75
163.95°2.407 -2.31 0.67 0.0077 1,152,349 13.348 1.00 265.00 293.65°0.40 -0.92 207.45°1.647 -1.46 -0.76
164°2.408 -2.31 0.66 0.0453 6,781,827 13.338 5.88 265.28 293.96°0.41 -0.91 207.61°1.647 -1.46 -0.76
164.12°2.410 -2.32 0.66 0.0055 815,770 13.315 0.71 266.00 294.66°0.42 -0.91 207.99°1.646 -1.45 -0.77
164.29°2.413 -2.32 0.65 0.0076 1,136,300 13.283 0.99 267.00 295.64°0.43 -0.90 208.50°1.645 -1.45 -0.79
164.46°2.416 -2.33 0.65 0.0076 1,136,189 13.251 0.99 268.00 296.62°0.45 -0.89 209.02°1.645 -1.44 -0.80
164.62°2.419 -2.33 0.64 0.0076 1,136,069 13.219 0.99 269.00 297.60°0.46 -0.89 209.55°1.644 -1.43 -0.81
164.79°2.421 -2.34 0.64 0.0076 1,135,941 13.187 1.00 270.00 298.58°0.48 -0.88 210.07°1.643 -1.42 -0.82
164.96°2.424 -2.34 0.63 0.0076 1,135,804 13.156 1.00 271.00 299.56°0.49 -0.87 210.59°1.642 -1.41 -0.84
165°2.425 -2.34 0.63 0.0453 6,778,459 13.148 5.97 271.25 299.84°0.50 -0.87 210.74°1.642 -1.41 -0.84
165.12°2.427 -2.35 0.62 0.0056 841,842 13.125 0.74 272.00 300.58°0.51 -0.86 211.13°1.642 -1.41 -0.85
165.29°2.429 -2.35 0.62 0.0075 1,120,778 13.095 0.99 273.00 301.55°0.52 -0.85 211.65°1.641 -1.40 -0.86
165.46°2.432 -2.35 0.61 0.0075 1,120,621 13.065 0.99 274.00 302.53°0.54 -0.84 212.17°1.640 -1.39 -0.87
165.62°2.435 -2.36 0.60 0.0075 1,120,457 13.035 0.99 275.00 303.51°0.55 -0.83 212.69°1.639 -1.38 -0.89
165.79°2.437 -2.36 0.60 0.0075 1,120,285 13.006 1.00 276.00 304.49°0.57 -0.82 213.21°1.638 -1.37 -0.90
165.95°2.440 -2.37 0.59 0.0075 1,120,106 12.976 1.00 277.00 305.48°0.58 -0.81 213.74°1.637 -1.36 -0.91
166°2.440 -2.37 0.59 0.0453 6,773,214 12.968 6.05 277.29 305.80°0.58 -0.81 213.91°1.637 -1.36 -0.91
166.12°2.442 -2.37 0.59 0.0052 780,800 12.948 0.70 278.00 306.49°0.59 -0.80 214.27°1.637 -1.35 -0.92
166.28°2.445 -2.37 0.58 0.0074 1,106,112 12.919 0.99 279.00 307.47°0.61 -0.79 214.79°1.636 -1.34 -0.93
166.44°2.447 -2.38 0.57 0.0074 1,105,919 12.891 0.99 280.00 308.45°0.62 -0.78 215.31°1.635 -1.33 -0.95
166.61°2.450 -2.38 0.57 0.0074 1,105,719 12.863 0.99 281.00 309.43°0.64 -0.77 215.84°1.634 -1.32 -0.96
166.77°2.452 -2.39 0.56 0.0074 1,105,513 12.836 1.00 282.00 310.41°0.65 -0.76 216.36°1.633 -1.32 -0.97
166.93°2.454 -2.39 0.55 0.0074 1,105,302 12.808 1.00 283.00 311.39°0.66 -0.75 216.88°1.632 -1.31 -0.98
167°2.455 -2.39 0.55 0.0452 6,766,362 12.797 6.12 283.41 311.83°0.67 -0.75 217.12°1.632 -1.30 -0.98
167.09°2.457 -2.39 0.55 0.0043 640,351 12.782 0.58 284.00 312.41°0.67 -0.74 217.42°1.631 -1.30 -0.99
167.26°2.459 -2.40 0.54 0.0073 1,092,347 12.755 0.99 285.00 313.38°0.69 -0.73 217.94°1.630 -1.29 -1.00
167.42°2.461 -2.40 0.54 0.0073 1,092,126 12.729 0.99 286.00 314.36°0.70 -0.71 218.46°1.629 -1.28 -1.01
167.58°2.463 -2.41 0.53 0.0073 1,091,900 12.703 0.99 287.00 315.34°0.71 -0.70 218.98°1.629 -1.27 -1.02
167.74°2.466 -2.41 0.52 0.0073 1,091,670 12.677 1.00 288.00 316.32°0.72 -0.69 219.50°1.628 -1.26 -1.04
167.90°2.468 -2.41 0.52 0.0073 1,091,436 12.652 1.00 289.00 317.31°0.74 -0.68 220.03°1.627 -1.25 -1.05
168°2.469 -2.42 0.51 0.0452 6,758,192 12.637 6.19 289.60 317.94°0.74 -0.67 220.36°1.626 -1.24 -1.05
168.06°2.470 -2.42 0.51 0.0029 427,889 12.627 0.39 290.00 318.32°0.75 -0.66 220.56°1.626 -1.23 -1.06
168.22°2.472 -2.42 0.50 0.0072 1,079,522 12.603 0.99 291.00 319.30°0.76 -0.65 221.08°1.625 -1.22 -1.07
168.38°2.474 -2.42 0.50 0.0072 1,079,283 12.578 0.99 292.00 320.28°0.77 -0.64 221.60°1.624 -1.21 -1.08
168.54°2.476 -2.43 0.49 0.0072 1,079,040 12.554 0.99 293.00 321.26°0.78 -0.63 222.13°1.623 -1.20 -1.09
168.70°2.478 -2.43 0.49 0.0072 1,078,794 12.531 1.00 294.00 322.24°0.79 -0.61 222.65°1.622 -1.19 -1.10
168.86°2.480 -2.43 0.48 0.0072 1,078,545 12.507 1.00 295.00 323.22°0.80 -0.60 223.17°1.621 -1.18 -1.11
169°2.482 -2.44 0.47 0.0451 6,749,006 12.487 6.26 295.86 324.10°0.81 -0.59 223.64°1.620 -1.17 -1.12
169.02°2.482 -2.44 0.47 0.0010 150,470 12.484 0.14 296.00 324.24°0.81 -0.58 223.71°1.620 -1.17 -1.12
169.18°2.484 -2.44 0.47 0.0071 1,067,675 12.462 0.99 297.00 325.22°0.82 -0.57 224.23°1.619 -1.16 -1.13
169.34°2.486 -2.44 0.46 0.0071 1,067,425 12.439 0.99 298.00 326.19°0.83 -0.56 224.75°1.618 -1.15 -1.14
169.50°2.488 -2.45 0.45 0.0071 1,067,172 12.417 0.99 299.00 327.17°0.84 -0.54 225.27°1.617 -1.14 -1.15
169.66°2.490 -2.45 0.45 0.0071 1,066,918 12.395 1.00 300.00 328.16°0.85 -0.53 225.79°1.616 -1.13 -1.16
169.81°2.492 -2.45 0.44 0.0071 1,066,663 12.374 1.00 301.00 329.14°0.86 -0.51 226.32°1.614 -1.12 -1.17
170°2.494 -2.46 0.43 0.0450 6,739,115 12.349 6.32 302.18 330.33°0.87 -0.50 226.95°1.613 -1.10 -1.18
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
170.13°2.496 -2.46 0.43 0.0058 871,638 12.332 0.82 303.00 331.13°0.88 -0.48 227.38°1.612 -1.09 -1.19
170.29°2.497 -2.46 0.42 0.0071 1,056,583 12.312 0.99 304.00 332.11°0.88 -0.47 227.90°1.611 -1.08 -1.20
170.44°2.499 -2.46 0.41 0.0071 1,056,329 12.292 0.99 305.00 333.09°0.89 -0.45 228.42°1.610 -1.07 -1.20
170.60°2.501 -2.47 0.41 0.0071 1,056,073 12.272 1.00 306.00 334.07°0.90 -0.44 228.94°1.609 -1.06 -1.21
170.76°2.503 -2.47 0.40 0.0071 1,055,818 12.252 1.00 307.00 335.06°0.91 -0.42 229.46°1.608 -1.05 -1.22
170.91°2.504 -2.47 0.40 0.0071 1,055,562 12.233 1.00 308.00 336.04°0.91 -0.41 229.98°1.607 -1.03 -1.23
171°2.505 -2.47 0.39 0.0450 6,728,836 12.223 6.37 308.55 336.61°0.92 -0.40 230.29°1.606 -1.03 -1.24
171.07°2.506 -2.48 0.39 0.0032 474,268 12.214 0.45 309.00 337.05°0.92 -0.39 230.52°1.606 -1.02 -1.24
171.23°2.507 -2.48 0.38 0.0070 1,046,786 12.196 0.99 310.00 338.03°0.93 -0.37 231.04°1.605 -1.01 -1.25
171.38°2.509 -2.48 0.38 0.0070 1,046,536 12.177 0.99 311.00 339.01°0.93 -0.36 231.56°1.603 -1.00 -1.26
171.54°2.511 -2.48 0.37 0.0070 1,046,286 12.160 1.00 312.00 339.99°0.94 -0.34 232.08°1.602 -0.98 -1.26
171.69°2.512 -2.49 0.36 0.0070 1,046,037 12.142 1.00 313.00 340.97°0.95 -0.33 232.61°1.601 -0.97 -1.27
171.85°2.514 -2.49 0.36 0.0070 1,045,788 12.125 1.00 314.00 341.96°0.95 -0.31 233.13°1.600 -0.96 -1.28
172°2.515 -2.49 0.35 0.0449 6,718,484 12.108 6.42 314.97 342.94°0.96 -0.29 233.65°1.599 -0.95 -1.29
172.00°2.515 -2.49 0.35 0.0002 32,059 12.108 0.03 315.00 342.97°0.96 -0.29 233.67°1.599 -0.95 -1.29
172.16°2.516 -2.49 0.34 0.0069 1,038,058 12.091 0.99 316.00 343.95°0.96 -0.28 234.19°1.598 -0.93 -1.30
172.31°2.518 -2.50 0.34 0.0069 1,037,817 12.075 0.99 317.00 344.93°0.97 -0.26 234.71°1.596 -0.92 -1.30
172.47°2.519 -2.50 0.33 0.0069 1,037,578 12.059 1.00 318.00 345.91°0.97 -0.24 235.23°1.595 -0.91 -1.31
172.62°2.521 -2.50 0.32 0.0069 1,037,341 12.043 1.00 319.00 346.89°0.97 -0.23 235.75°1.594 -0.90 -1.32
172.78°2.522 -2.50 0.32 0.0069 1,037,106 12.028 1.00 320.00 347.87°0.98 -0.21 236.28°1.593 -0.88 -1.32
172.93°2.523 -2.50 0.31 0.0069 1,036,873 12.013 1.00 321.00 348.86°0.98 -0.19 236.80°1.592 -0.87 -1.33
173°2.524 -2.51 0.31 0.0448 6,708,367 12.006 6.47 321.44 349.31°0.98 -0.19 237.04°1.591 -0.87 -1.34
173.09°2.525 -2.51 0.30 0.0039 581,113 11.998 0.56 322.00 349.86°0.98 -0.18 237.33°1.591 -0.86 -1.34
173.24°2.526 -2.51 0.30 0.0069 1,030,194 11.984 0.99 323.00 350.84°0.99 -0.16 237.85°1.589 -0.85 -1.35
173.39°2.527 -2.51 0.29 0.0069 1,029,971 11.970 1.00 324.00 351.82°0.99 -0.14 238.38°1.588 -0.83 -1.35
173.55°2.528 -2.51 0.28 0.0069 1,029,751 11.956 1.00 325.00 352.81°0.99 -0.13 238.90°1.587 -0.82 -1.36
173.70°2.529 -2.51 0.28 0.0069 1,029,534 11.942 1.00 326.00 353.79°0.99 -0.11 239.42°1.586 -0.81 -1.37
173.86°2.530 -2.52 0.27 0.0069 1,029,320 11.929 1.00 327.00 354.78°1.00 -0.09 239.95°1.584 -0.79 -1.37
174°2.531 -2.52 0.26 0.0448 6,698,780 11.917 6.51 327.94 355.72°1.00 -0.07 240.45°1.583 -0.78 -1.38
174.01°2.532 -2.52 0.26 0.0004 59,410 11.916 0.06 328.00 355.78°1.00 -0.07 240.48°1.583 -0.78 -1.38
174.16°2.533 -2.52 0.26 0.0068 1,023,683 11.904 1.00 329.00 356.76°1.00 -0.06 241.00°1.582 -0.77 -1.38
174.31°2.534 -2.52 0.25 0.0068 1,023,481 11.892 1.00 330.00 357.74°1.00 -0.04 241.52°1.581 -0.75 -1.39
174.47°2.535 -2.52 0.24 0.0068 1,023,283 11.880 1.00 331.00 358.72°1.00 -0.02 242.05°1.580 -0.74 -1.40
174.62°2.536 -2.52 0.24 0.0068 1,023,088 11.868 1.00 332.00 359.71°1.00 -0.01 242.57°1.578 -0.73 -1.40
174.77°2.537 -2.53 0.23 0.0068 1,022,897 11.857 1.00 333.00 0.69°1.00 0.01 243.09°1.577 -0.71 -1.41
174.93°2.538 -2.53 0.22 0.0068 1,022,710 11.846 1.00 334.00 1.68°1.00 0.03 243.61°1.576 -0.70 -1.41
175°2.538 -2.53 0.22 0.0447 6,689,996 11.841 6.54 334.48 2.17°1.00 0.04 243.88°1.575 -0.69 -1.41
175.08°2.538 -2.53 0.22 0.0035 528,381 11.836 0.52 335.00 2.68°1.00 0.05 244.15°1.574 -0.69 -1.42
175.23°2.539 -2.53 0.21 0.0068 1,018,123 11.825 1.00 336.00 3.66°1.00 0.06 244.67°1.573 -0.67 -1.42
175.38°2.540 -2.53 0.20 0.0068 1,017,950 11.816 1.00 337.00 4.64°1.00 0.08 245.19°1.572 -0.66 -1.43
175.54°2.541 -2.53 0.20 0.0068 1,017,781 11.806 1.00 338.00 5.63°1.00 0.10 245.71°1.571 -0.65 -1.43
175.69°2.542 -2.53 0.19 0.0068 1,017,617 11.797 1.00 339.00 6.61°0.99 0.12 246.24°1.569 -0.63 -1.44
175.84°2.543 -2.54 0.18 0.0068 1,017,457 11.788 1.00 340.00 7.59°0.99 0.13 246.76°1.568 -0.62 -1.44
176°2.543 -2.54 0.18 0.0447 6,682,265 11.779 6.57 341.05 8.64°0.99 0.15 247.32°1.567 -0.60 -1.45
176.14°2.544 -2.54 0.17 0.0065 965,890 11.771 0.95 342.00 9.58°0.99 0.17 247.81°1.566 -0.59 -1.45
176.30°2.545 -2.54 0.16 0.0068 1,013,764 11.763 1.00 343.00 10.56°0.98 0.18 248.34°1.564 -0.58 -1.45
176.45°2.545 -2.54 0.16 0.0068 1,013,624 11.755 1.00 344.00 11.54°0.98 0.20 248.86°1.563 -0.56 -1.46
176.60°2.546 -2.54 0.15 0.0068 1,013,490 11.748 1.00 345.00 12.53°0.98 0.22 249.38°1.562 -0.55 -1.46
176.75°2.547 -2.54 0.14 0.0068 1,013,360 11.740 1.00 346.00 13.51°0.97 0.23 249.91°1.560 -0.54 -1.47
176.90°2.547 -2.54 0.14 0.0068 1,013,236 11.734 1.00 347.00 14.50°0.97 0.25 250.43°1.559 -0.52 -1.47
177.06°2.548 -2.54 0.13 0.0068 1,013,117 11.727 1.00 348.00 15.48°0.96 0.27 250.95°1.558 -0.51 -1.47
177°2.548 -2.54 0.13 0.0446 6,675,804 11.730 6.59 347.63 15.13°0.97 0.26 250.77°1.558 -0.51 -1.47
177.06°2.548 -2.54 0.13 0.0025 369,321 11.727 0.36 348.00 15.49°0.96 0.27 250.96°1.558 -0.51 -1.47
177.21°2.548 -2.55 0.12 0.0068 1,010,733 11.721 1.00 349.00 16.47°0.96 0.28 251.48°1.557 -0.49 -1.48
177.36°2.549 -2.55 0.12 0.0068 1,010,625 11.715 1.00 350.00 17.46°0.95 0.30 252.01°1.555 -0.48 -1.48
177.51°2.549 -2.55 0.11 0.0068 1,010,523 11.710 1.00 351.00 18.44°0.95 0.32 252.53°1.554 -0.47 -1.48
177.66°2.550 -2.55 0.10 0.0068 1,010,426 11.705 1.00 352.00 19.43°0.94 0.33 253.05°1.553 -0.45 -1.49
177.81°2.550 -2.55 0.10 0.0068 1,010,335 11.700 1.00 353.00 20.41°0.94 0.35 253.58°1.551 -0.44 -1.49
177.96°2.551 -2.55 0.09 0.0068 1,010,249 11.696 1.00 354.00 21.40°0.93 0.36 254.10°1.550 -0.42 -1.49
178°2.551 -2.55 0.09 0.0446 6,670,793 11.695 6.60 354.24 21.64°0.93 0.37 254.23°1.550 -0.42 -1.49
178.12°2.551 -2.55 0.08 0.0051 770,058 11.691 0.76 355.00 22.39°0.92 0.38 254.63°1.549 -0.41 -1.49
178.27°2.551 -2.55 0.08 0.0067 1,008,790 11.688 1.00 356.00 23.38°0.92 0.40 255.15°1.547 -0.40 -1.50
178.42°2.552 -2.55 0.07 0.0067 1,008,722 11.684 1.00 357.00 24.36°0.91 0.41 255.67°1.546 -0.38 -1.50
178.57°2.552 -2.55 0.06 0.0067 1,008,659 11.681 1.00 358.00 25.35°0.90 0.43 256.20°1.545 -0.37 -1.50
178.72°2.552 -2.55 0.06 0.0067 1,008,603 11.678 1.00 359.00 26.33°0.90 0.44 256.72°1.543 -0.35 -1.50
178.87°2.552 -2.55 0.05 0.0067 1,008,552 11.675 1.00 360.00 27.32°0.89 0.46 257.25°1.542 -0.34 -1.50
179°2.552 -2.55 0.04 0.0446 6,667,374 11.673 6.61 360.85 28.15°0.88 0.47 257.69°1.541 -0.33 -1.51
179.02°2.552 -2.55 0.04 0.0010 153,926 11.673 0.15 361.00 28.31°0.88 0.47 257.77°1.541 -0.33 -1.51
179.17°2.553 -2.55 0.04 0.0067 1,008,122 11.671 1.00 362.00 29.29°0.87 0.49 258.30°1.540 -0.31 -1.51
179.33°2.553 -2.55 0.03 0.0067 1,008,089 11.670 1.00 363.00 30.28°0.86 0.50 258.82°1.538 -0.30 -1.51
179.48°2.553 -2.55 0.02 0.0067 1,008,062 11.668 1.00 364.00 31.26°0.85 0.52 259.34°1.537 -0.28 -1.51
179.63°2.553 -2.55 0.02 0.0067 1,008,042 11.667 1.00 365.00 32.25°0.85 0.53 259.87°1.536 -0.27 -1.51
179.78°2.553 -2.55 0.01 0.0067 1,008,027 11.667 1.00 366.00 33.23°0.84 0.55 260.39°1.534 -0.26 -1.51
179.93°2.553 -2.55 0.00 0.0067 1,008,018 11.666 1.00 367.00 34.22°0.83 0.56 260.92°1.533 -0.24 -1.51
180°2.553 -2.55 0.00 0.0446 6,665,640 11.666 6.61 367.46 34.67°0.82 0.57 261.16°1.532 -0.24 -1.51
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
180.08°2.553 -2.55 0.00 0.0036 544,452 11.666 0.54 368.00 35.20°0.82 0.58 261.44°1.532 -0.23 -1.51
180.23°2.553 -2.55 -0.01 0.0067 1,008,627 11.667 1.00 369.00 36.19°0.81 0.59 261.96°1.530 -0.21 -1.52
180.38°2.553 -2.55 -0.02 0.0067 1,008,636 11.667 1.00 370.00 37.18°0.80 0.60 262.49°1.529 -0.20 -1.52
180.54°2.553 -2.55 -0.02 0.0067 1,008,652 11.668 1.00 371.00 38.16°0.79 0.62 263.01°1.528 -0.19 -1.52
180.69°2.553 -2.55 -0.03 0.0067 1,008,673 11.670 1.00 372.00 39.15°0.78 0.63 263.54°1.526 -0.17 -1.52
180.84°2.553 -2.55 -0.04 0.0067 1,008,700 11.671 1.00 373.00 40.14°0.76 0.64 264.06°1.525 -0.16 -1.52
180.99°2.552 -2.55 -0.04 0.0067 1,008,734 11.673 1.00 374.00 41.12°0.75 0.66 264.59°1.524 -0.14 -1.52
181°2.552 -2.55 -0.04 0.0446 6,665,640 11.673 6.61 374.07 41.19°0.75 0.66 264.62°1.524 -0.14 -1.52
181.14°2.552 -2.55 -0.05 0.0063 940,520 11.676 0.93 375.00 42.11°0.74 0.67 265.11°1.523 -0.13 -1.52
181.29°2.552 -2.55 -0.06 0.0068 1,010,379 11.678 1.00 376.00 43.09°0.73 0.68 265.63°1.521 -0.12 -1.52
181.44°2.552 -2.55 -0.06 0.0068 1,010,431 11.681 1.00 377.00 44.08°0.72 0.70 266.16°1.520 -0.10 -1.52
181.60°2.551 -2.55 -0.07 0.0068 1,010,488 11.684 1.00 378.00 45.07°0.71 0.71 266.68°1.519 -0.09 -1.52
181.75°2.551 -2.55 -0.08 0.0068 1,010,551 11.688 1.00 379.00 46.05°0.69 0.72 267.21°1.517 -0.07 -1.52
181.90°2.551 -2.55 -0.08 0.0068 1,010,620 11.692 1.00 380.00 47.04°0.68 0.73 267.73°1.516 -0.06 -1.51
182°2.551 -2.55 -0.09 0.0446 6,667,374 11.695 6.60 380.67 47.69°0.67 0.74 268.08°1.515 -0.05 -1.51
182.05°2.550 -2.55 -0.09 0.0023 336,608 11.696 0.33 381.00 48.02°0.67 0.74 268.25°1.515 -0.05 -1.51
182.20°2.550 -2.55 -0.10 0.0068 1,013,288 11.701 1.00 382.00 49.01°0.66 0.75 268.78°1.513 -0.03 -1.51
182.35°2.550 -2.55 -0.10 0.0068 1,013,374 11.705 1.00 383.00 49.99°0.64 0.77 269.30°1.512 -0.02 -1.51
182.51°2.549 -2.55 -0.11 0.0068 1,013,467 11.711 1.00 384.00 50.98°0.63 0.78 269.83°1.511 0.00 -1.51
182.66°2.549 -2.55 -0.12 0.0068 1,013,564 11.716 1.00 385.00 51.97°0.62 0.79 270.35°1.510 0.01 -1.51
182.81°2.548 -2.55 -0.12 0.0068 1,013,668 11.722 1.00 386.00 52.95°0.60 0.80 270.88°1.508 0.02 -1.51
182.96°2.548 -2.54 -0.13 0.0068 1,013,777 11.728 1.00 387.00 53.94°0.59 0.81 271.40°1.507 0.04 -1.51
183°2.548 -2.54 -0.13 0.0446 6,670,793 11.730 6.58 387.25 54.18°0.59 0.81 271.53°1.507 0.04 -1.51
183.11°2.547 -2.54 -0.14 0.0051 762,909 11.735 0.75 388.00 54.92°0.57 0.82 271.92°1.506 0.05 -1.50
183.27°2.547 -2.54 -0.15 0.0068 1,017,476 11.741 1.00 389.00 55.91°0.56 0.83 272.45°1.504 0.06 -1.50
183.42°2.546 -2.54 -0.15 0.0068 1,017,602 11.748 1.00 390.00 56.90°0.55 0.84 272.97°1.503 0.08 -1.50
183.57°2.545 -2.54 -0.16 0.0068 1,017,734 11.756 1.00 391.00 57.88°0.53 0.85 273.50°1.502 0.09 -1.50
183.72°2.545 -2.54 -0.17 0.0068 1,017,870 11.764 1.00 392.00 58.87°0.52 0.86 274.02°1.501 0.11 -1.50
183.88°2.544 -2.54 -0.17 0.0068 1,018,011 11.772 1.00 393.00 59.86°0.50 0.86 274.55°1.499 0.12 -1.49
184°2.543 -2.54 -0.18 0.0446 6,675,804 11.779 6.56 393.81 60.64°0.49 0.87 274.96°1.498 0.13 -1.49
184.03°2.543 -2.54 -0.18 0.0013 194,268 11.780 0.19 394.00 60.83°0.49 0.87 275.06°1.498 0.13 -1.49
184.18°2.543 -2.54 -0.19 0.0068 1,022,729 11.789 1.00 395.00 61.82°0.47 0.88 275.59°1.497 0.15 -1.49
184.34°2.542 -2.53 -0.19 0.0068 1,022,886 11.798 1.00 396.00 62.81°0.46 0.89 276.12°1.496 0.16 -1.49
184.49°2.541 -2.53 -0.20 0.0068 1,023,049 11.807 1.00 397.00 63.80°0.44 0.90 276.64°1.494 0.17 -1.48
184.64°2.540 -2.53 -0.21 0.0068 1,023,215 11.817 1.00 398.00 64.79°0.43 0.90 277.17°1.493 0.19 -1.48
184.79°2.539 -2.53 -0.21 0.0068 1,023,387 11.827 1.00 399.00 65.77°0.41 0.91 277.69°1.492 0.20 -1.48
184.95°2.538 -2.53 -0.22 0.0068 1,023,562 11.838 1.00 400.00 66.76°0.39 0.92 278.22°1.491 0.21 -1.48
185°2.538 -2.53 -0.22 0.0447 6,682,265 11.841 6.53 400.34 67.08°0.39 0.92 278.39°1.490 0.22 -1.47
185.10°2.537 -2.53 -0.23 0.0045 677,598 11.848 0.66 401.00 67.73°0.38 0.93 278.73°1.489 0.23 -1.47
185.26°2.536 -2.53 -0.23 0.0069 1,029,308 11.859 1.00 402.00 68.72°0.36 0.93 279.26°1.488 0.24 -1.47
185.41°2.535 -2.52 -0.24 0.0069 1,029,498 11.871 1.00 403.00 69.71°0.35 0.94 279.79°1.487 0.25 -1.47
185.56°2.534 -2.52 -0.25 0.0069 1,029,692 11.882 1.00 404.00 70.70°0.33 0.94 280.31°1.486 0.27 -1.46
185.72°2.533 -2.52 -0.25 0.0069 1,029,890 11.894 1.00 405.00 71.69°0.31 0.95 280.84°1.484 0.28 -1.46
185.87°2.532 -2.52 -0.26 0.0069 1,030,092 11.907 1.00 406.00 72.68°0.30 0.95 281.36°1.483 0.29 -1.45
186°2.531 -2.52 -0.26 0.0447 6,689,996 11.917 6.50 406.84 73.49°0.28 0.96 281.79°1.482 0.30 -1.45
186.02°2.531 -2.52 -0.27 0.0011 166,892 11.919 0.16 407.00 73.65°0.28 0.96 281.88°1.482 0.31 -1.45
186.18°2.530 -2.52 -0.27 0.0069 1,036,854 11.932 1.01 408.00 74.64°0.26 0.96 282.40°1.481 0.32 -1.45
186.33°2.529 -2.51 -0.28 0.0069 1,037,069 11.945 1.00 409.00 75.63°0.25 0.97 282.93°1.480 0.33 -1.44
186.49°2.528 -2.51 -0.29 0.0069 1,037,287 11.959 1.00 410.00 76.62°0.23 0.97 283.46°1.478 0.34 -1.44
186.64°2.527 -2.51 -0.29 0.0069 1,037,508 11.973 1.00 411.00 77.60°0.21 0.98 283.98°1.477 0.36 -1.43
186.80°2.525 -2.51 -0.30 0.0069 1,037,732 11.987 1.00 412.00 78.59°0.20 0.98 284.51°1.476 0.37 -1.43
186.95°2.524 -2.51 -0.31 0.0069 1,037,959 12.002 1.00 413.00 79.58°0.18 0.98 285.03°1.475 0.38 -1.42
187°2.524 -2.51 -0.31 0.0448 6,698,780 12.006 6.46 413.30 79.85°0.18 0.98 285.18°1.474 0.39 -1.42
187.11°2.523 -2.50 -0.31 0.0049 735,357 12.017 0.71 414.00 80.55°0.16 0.99 285.55°1.474 0.39 -1.42
187.27°2.522 -2.50 -0.32 0.0070 1,045,744 12.032 1.01 415.00 81.54°0.15 0.99 286.07°1.472 0.41 -1.41
187.42°2.520 -2.50 -0.33 0.0070 1,045,981 12.048 1.00 416.00 82.53°0.13 0.99 286.60°1.471 0.42 -1.41
187.58°2.519 -2.50 -0.33 0.0070 1,046,221 12.064 1.00 417.00 83.52°0.11 0.99 287.13°1.470 0.43 -1.40
187.73°2.517 -2.49 -0.34 0.0070 1,046,463 12.080 1.00 418.00 84.51°0.10 1.00 287.65°1.469 0.45 -1.40
187.89°2.516 -2.49 -0.35 0.0070 1,046,706 12.096 1.00 419.00 85.49°0.08 1.00 288.18°1.468 0.46 -1.39
188°2.515 -2.49 -0.35 0.0448 6,708,367 12.108 6.41 419.71 86.17°0.07 1.00 288.54°1.467 0.47 -1.39
188.05°2.515 -2.49 -0.35 0.0021 306,983 12.113 0.29 420.00 86.46°0.06 1.00 288.69°1.467 0.47 -1.39
188.20°2.513 -2.49 -0.36 0.0071 1,055,505 12.130 1.01 421.00 87.45°0.04 1.00 289.22°1.465 0.48 -1.38
188.36°2.512 -2.48 -0.37 0.0071 1,055,757 12.148 1.01 422.00 88.44°0.03 1.00 289.74°1.464 0.49 -1.38
188.52°2.510 -2.48 -0.37 0.0071 1,056,010 12.166 1.00 423.00 89.43°0.01 1.00 290.27°1.463 0.51 -1.37
188.67°2.508 -2.48 -0.38 0.0071 1,056,264 12.184 1.00 424.00 90.42°-0.01 1.00 290.80°1.462 0.52 -1.37
188.83°2.507 -2.48 -0.38 0.0071 1,056,519 12.203 1.00 425.00 91.41°-0.02 1.00 291.32°1.461 0.53 -1.36
189°2.505 -2.47 -0.39 0.0449 6,718,484 12.223 6.36 426.07 92.44°-0.04 1.00 291.87°1.460 0.54 -1.35
189.15°2.504 -2.47 -0.40 0.0066 990,524 12.241 0.94 427.00 93.36°-0.06 1.00 292.36°1.459 0.55 -1.35
189.31°2.502 -2.47 -0.40 0.0071 1,066,592 12.260 1.01 428.00 94.36°-0.08 1.00 292.89°1.458 0.57 -1.34
189.46°2.500 -2.47 -0.41 0.0071 1,066,853 12.280 1.01 429.00 95.35°-0.09 1.00 293.42°1.456 0.58 -1.34
189.62°2.498 -2.46 -0.42 0.0071 1,067,113 12.300 1.00 430.00 96.34°-0.11 0.99 293.94°1.455 0.59 -1.33
189.78°2.497 -2.46 -0.42 0.0071 1,067,374 12.321 1.00 431.00 97.33°-0.13 0.99 294.47°1.454 0.60 -1.32
189.94°2.495 -2.46 -0.43 0.0071 1,067,633 12.341 1.00 432.00 98.31°-0.14 0.99 294.99°1.453 0.61 -1.32
190°2.494 -2.46 -0.43 0.0450 6,728,836 12.349 6.31 432.38 98.66°-0.15 0.99 295.17°1.453 0.62 -1.31
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
190.10°2.493 -2.45 -0.44 0.0045 671,100 12.362 0.63 433.00 99.28°-0.16 0.99 295.50°1.452 0.63 -1.31
190.26°2.491 -2.45 -0.44 0.0072 1,078,461 12.384 1.01 434.00 100.27°-0.18 0.98 296.03°1.451 0.64 -1.30
190.42°2.489 -2.45 -0.45 0.0072 1,078,723 12.406 1.01 435.00 101.26°-0.20 0.98 296.56°1.450 0.65 -1.30
190.58°2.487 -2.45 -0.46 0.0072 1,078,983 12.428 1.00 436.00 102.25°-0.21 0.98 297.09°1.449 0.66 -1.29
190.74°2.485 -2.44 -0.46 0.0072 1,079,242 12.450 1.00 437.00 103.24°-0.23 0.97 297.61°1.448 0.67 -1.28
190.90°2.483 -2.44 -0.47 0.0072 1,079,500 12.473 1.00 438.00 104.23°-0.25 0.97 298.14°1.447 0.68 -1.28
191°2.482 -2.44 -0.47 0.0450 6,739,115 12.487 6.25 438.62 104.81°-0.26 0.97 298.45°1.446 0.69 -1.27
191.06°2.481 -2.44 -0.48 0.0027 410,463 12.496 0.38 439.00 105.19°-0.26 0.97 298.65°1.446 0.69 -1.27
191.22°2.479 -2.43 -0.48 0.0073 1,091,336 12.520 1.01 440.00 106.18°-0.28 0.96 299.18°1.445 0.70 -1.26
191.38°2.477 -2.43 -0.49 0.0073 1,091,592 12.544 1.01 441.00 107.18°-0.30 0.96 299.70°1.444 0.72 -1.25
191.55°2.475 -2.43 -0.50 0.0073 1,091,845 12.568 1.01 442.00 108.17°-0.31 0.95 300.23°1.443 0.73 -1.25
191.71°2.473 -2.42 -0.50 0.0073 1,092,095 12.592 1.00 443.00 109.16°-0.33 0.94 300.76°1.442 0.74 -1.24
191.87°2.471 -2.42 -0.51 0.0073 1,092,342 12.617 1.00 444.00 110.14°-0.34 0.94 301.28°1.441 0.75 -1.23
192°2.469 -2.42 -0.51 0.0451 6,749,006 12.637 6.18 444.81 110.91°-0.36 0.93 301.69°1.440 0.76 -1.23
192.03°2.469 -2.41 -0.51 0.0014 215,229 12.642 0.20 445.00 111.10°-0.36 0.93 301.79°1.440 0.76 -1.22
192.20°2.467 -2.41 -0.52 0.0074 1,105,186 12.667 1.01 446.00 112.10°-0.38 0.93 302.32°1.439 0.77 -1.22
192.36°2.464 -2.41 -0.53 0.0074 1,105,427 12.693 1.01 447.00 113.09°-0.39 0.92 302.85°1.438 0.78 -1.21
192.52°2.462 -2.40 -0.53 0.0074 1,105,664 12.719 1.01 448.00 114.08°-0.41 0.91 303.38°1.437 0.79 -1.20
192.69°2.460 -2.40 -0.54 0.0074 1,105,897 12.746 1.00 449.00 115.07°-0.42 0.91 303.90°1.436 0.80 -1.19
192.85°2.457 -2.40 -0.55 0.0074 1,106,126 12.772 1.00 450.00 116.06°-0.44 0.90 304.43°1.435 0.81 -1.18
193°2.455 -2.39 -0.55 0.0452 6,758,192 12.797 6.11 450.92 116.93°-0.45 0.89 304.89°1.434 0.82 -1.18
193.01°2.455 -2.39 -0.55 0.0006 92,377 12.799 0.08 451.00 117.01°-0.45 0.89 304.93°1.434 0.82 -1.18
193.18°2.453 -2.39 -0.56 0.0075 1,119,973 12.827 1.01 452.00 118.01°-0.47 0.88 305.46°1.433 0.83 -1.17
193.34°2.450 -2.38 -0.57 0.0075 1,120,192 12.855 1.01 453.00 119.00°-0.48 0.87 305.99°1.432 0.84 -1.16
193.51°2.448 -2.38 -0.57 0.0075 1,120,404 12.883 1.01 454.00 119.99°-0.50 0.87 306.52°1.431 0.85 -1.15
193.68°2.445 -2.38 -0.58 0.0075 1,120,611 12.911 1.00 455.00 120.98°-0.51 0.86 307.05°1.430 0.86 -1.14
193.84°2.443 -2.37 -0.58 0.0075 1,120,812 12.940 1.00 456.00 121.97°-0.53 0.85 307.57°1.429 0.87 -1.13
194°2.440 -2.37 -0.59 0.0452 6,766,362 12.968 6.04 456.96 122.88°-0.54 0.84 308.05°1.428 0.88 -1.12
194.01°2.440 -2.37 -0.59 0.0003 49,242 12.969 0.04 457.00 122.93°-0.54 0.84 308.08°1.428 0.88 -1.12
194.17°2.438 -2.36 -0.60 0.0076 1,135,659 12.999 1.01 458.00 123.92°-0.56 0.83 308.61°1.427 0.89 -1.12
194.34°2.435 -2.36 -0.60 0.0076 1,135,845 13.029 1.01 459.00 124.92°-0.57 0.82 309.14°1.426 0.90 -1.11
194.51°2.433 -2.35 -0.61 0.0076 1,136,023 13.059 1.01 460.00 125.91°-0.59 0.81 309.66°1.426 0.91 -1.10
194.68°2.430 -2.35 -0.62 0.0076 1,136,194 13.089 1.00 461.00 126.90°-0.60 0.80 310.19°1.425 0.92 -1.09
194.85°2.427 -2.35 -0.62 0.0076 1,136,357 13.120 1.00 462.00 127.89°-0.61 0.79 310.72°1.424 0.93 -1.08
195°2.425 -2.34 -0.63 0.0453 6,773,214 13.148 5.96 462.92 128.76°-0.63 0.78 311.18°1.423 0.94 -1.07
195.01°2.424 -2.34 -0.63 0.0006 93,498 13.151 0.08 463.00 128.84°-0.63 0.78 311.22°1.423 0.94 -1.07
195.18°2.422 -2.34 -0.63 0.0077 1,152,198 13.183 1.01 464.00 129.84°-0.64 0.77 311.75°1.422 0.95 -1.06
195.35°2.419 -2.33 -0.64 0.0077 1,152,341 13.215 1.01 465.00 130.83°-0.65 0.76 312.28°1.421 0.96 -1.05
195.52°2.416 -2.33 -0.65 0.0077 1,152,474 13.247 1.01 466.00 131.82°-0.67 0.75 312.81°1.420 0.97 -1.04
195.69°2.413 -2.32 -0.65 0.0077 1,152,598 13.279 1.00 467.00 132.81°-0.68 0.73 313.34°1.420 0.97 -1.03
195.86°2.410 -2.32 -0.66 0.0077 1,152,713 13.312 1.00 468.00 133.80°-0.69 0.72 313.86°1.419 0.98 -1.02
196°2.408 -2.31 -0.66 0.0453 6,778,459 13.338 5.88 468.80 134.56°-0.70 0.71 314.26°1.418 0.99 -1.02
196.03°2.408 -2.31 -0.67 0.0016 233,130 13.345 0.20 469.00 134.76°-0.70 0.71 314.37°1.418 0.99 -1.01
196.21°2.405 -2.31 -0.67 0.0078 1,169,540 13.379 1.01 470.00 135.75°-0.72 0.70 314.90°1.417 1.00 -1.00
196.38°2.402 -2.30 -0.68 0.0078 1,169,628 13.413 1.01 471.00 136.75°-0.73 0.69 315.43°1.416 1.01 -0.99
196.55°2.399 -2.30 -0.68 0.0078 1,169,705 13.447 1.01 472.00 137.74°-0.74 0.67 315.95°1.415 1.02 -0.98
196.72°2.396 -2.29 -0.69 0.0078 1,169,771 13.482 1.00 473.00 138.73°-0.75 0.66 316.48°1.415 1.03 -0.97
196.90°2.393 -2.29 -0.70 0.0078 1,169,826 13.517 1.00 474.00 139.72°-0.76 0.65 317.00°1.414 1.03 -0.96
197°2.391 -2.29 -0.70 0.0453 6,781,827 13.538 5.80 474.60 140.27°-0.77 0.64 317.30°1.413 1.04 -0.96
197.07°2.390 -2.28 -0.70 0.0032 476,404 13.552 0.41 475.00 140.67°-0.77 0.63 317.51°1.413 1.04 -0.95
197.25°2.386 -2.28 -0.71 0.0079 1,187,628 13.588 1.01 476.00 141.67°-0.78 0.62 318.04°1.412 1.05 -0.94
197.42°2.383 -2.27 -0.71 0.0079 1,187,649 13.624 1.01 477.00 142.66°-0.80 0.61 318.57°1.412 1.06 -0.93
197.60°2.380 -2.27 -0.72 0.0079 1,187,657 13.660 1.01 478.00 143.66°-0.81 0.59 319.10°1.411 1.07 -0.92
197.77°2.377 -2.26 -0.73 0.0079 1,187,653 13.697 1.00 479.00 144.64°-0.82 0.58 319.62°1.410 1.07 -0.91
197.95°2.374 -2.26 -0.73 0.0079 1,187,636 13.734 1.00 480.00 145.63°-0.83 0.56 320.15°1.409 1.08 -0.90
198°2.373 -2.26 -0.73 0.0453 6,783,068 13.745 5.71 480.31 145.90°-0.83 0.56 320.29°1.409 1.08 -0.90
198.12°2.370 -2.25 -0.74 0.0056 831,818 13.771 0.70 481.00 146.59°-0.83 0.55 320.66°1.409 1.09 -0.89
198.30°2.367 -2.25 -0.74 0.0081 1,206,399 13.809 1.01 482.00 147.59°-0.84 0.54 321.19°1.408 1.10 -0.88
198.48°2.364 -2.24 -0.75 0.0081 1,206,340 13.847 1.01 483.00 148.58°-0.85 0.52 321.72°1.407 1.10 -0.87
198.66°2.360 -2.24 -0.76 0.0081 1,206,267 13.886 1.01 484.00 149.57°-0.86 0.51 322.24°1.407 1.11 -0.86
198.83°2.357 -2.23 -0.76 0.0081 1,206,180 13.925 1.00 485.00 150.56°-0.87 0.49 322.77°1.406 1.12 -0.85
199°2.354 -2.23 -0.77 0.0453 6,781,959 13.961 5.62 485.93 151.44°-0.88 0.48 323.24°1.405 1.13 -0.84
199.01°2.354 -2.23 -0.77 0.0005 82,140 13.964 0.07 486.00 151.51°-0.88 0.48 323.27°1.405 1.13 -0.84
199.19°2.350 -2.22 -0.77 0.0082 1,225,920 14.003 1.01 487.00 152.51°-0.89 0.46 323.81°1.405 1.13 -0.83
199.37°2.347 -2.21 -0.78 0.0082 1,225,783 14.044 1.01 488.00 153.50°-0.89 0.45 324.33°1.404 1.14 -0.82
199.55°2.343 -2.21 -0.78 0.0082 1,225,631 14.084 1.01 489.00 154.50°-0.90 0.43 324.86°1.403 1.15 -0.81
199.74°2.340 -2.20 -0.79 0.0082 1,225,462 14.124 1.00 490.00 155.49°-0.91 0.41 325.39°1.403 1.15 -0.80
199.92°2.336 -2.20 -0.80 0.0082 1,225,278 14.165 1.00 491.00 156.47°-0.92 0.40 325.91°1.402 1.16 -0.79
200°2.334 -2.19 -0.80 0.0453 6,778,299 14.184 5.53 491.46 156.89°-0.92 0.39 326.14°1.402 1.16 -0.78
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
200.10°2.332 -2.19 -0.80 0.0045 667,996 14.207 0.54 492.00 157.43°-0.92 0.38 326.42°1.401 1.17 -0.78
200.28°2.329 -2.18 -0.81 0.0083 1,245,947 14.249 1.01 493.00 158.43°-0.93 0.37 326.95°1.401 1.17 -0.76
200.47°2.325 -2.18 -0.81 0.0083 1,245,704 14.291 1.01 494.00 159.42°-0.94 0.35 327.48°1.400 1.18 -0.75
200.65°2.321 -2.17 -0.82 0.0083 1,245,443 14.334 1.01 495.00 160.41°-0.94 0.34 328.01°1.400 1.19 -0.74
200.83°2.318 -2.17 -0.82 0.0083 1,245,165 14.376 1.00 496.00 161.40°-0.95 0.32 328.53°1.399 1.19 -0.73
201°2.314 -2.16 -0.83 0.0453 6,771,917 14.415 5.44 496.90 162.25°-0.95 0.30 328.99°1.399 1.20 -0.72
201.02°2.314 -2.16 -0.83 0.0008 125,111 14.419 0.10 497.00 162.35°-0.95 0.30 329.04°1.398 1.20 -0.72
201.21°2.310 -2.15 -0.84 0.0085 1,266,785 14.463 1.01 498.00 163.35°-0.96 0.29 329.57°1.398 1.21 -0.71
201.39°2.306 -2.15 -0.84 0.0085 1,266,440 14.507 1.01 499.00 164.35°-0.96 0.27 330.10°1.397 1.21 -0.70
201.58°2.302 -2.14 -0.85 0.0085 1,266,075 14.552 1.01 500.00 165.34°-0.97 0.25 330.63°1.397 1.22 -0.69
201.77°2.299 -2.13 -0.85 0.0085 1,265,691 14.597 1.00 501.00 166.33°-0.97 0.24 331.15°1.396 1.22 -0.67
201.95°2.295 -2.13 -0.86 0.0085 1,265,287 14.642 1.00 502.00 167.31°-0.98 0.22 331.68°1.396 1.23 -0.66
202°2.294 -2.13 -0.86 0.0452 6,762,669 14.652 5.34 502.24 167.52°-0.98 0.22 331.79°1.396 1.23 -0.66
202.14°2.291 -2.12 -0.86 0.0065 975,007 14.687 0.77 503.00 168.28°-0.98 0.20 332.19°1.395 1.23 -0.65
202.33°2.287 -2.12 -0.87 0.0086 1,287,789 14.733 1.01 504.00 169.27°-0.98 0.19 332.72°1.395 1.24 -0.64
202.53°2.283 -2.11 -0.87 0.0086 1,287,307 14.780 1.01 505.00 170.27°-0.99 0.17 333.25°1.394 1.24 -0.63
202.72°2.279 -2.10 -0.88 0.0086 1,286,804 14.827 1.00 506.00 171.26°-0.99 0.15 333.77°1.394 1.25 -0.62
202.91°2.274 -2.10 -0.89 0.0086 1,286,279 14.873 1.00 507.00 172.24°-0.99 0.13 334.30°1.393 1.26 -0.60
203°2.272 -2.09 -0.89 0.0451 6,750,440 14.896 5.24 507.49 172.69°-0.99 0.13 334.53°1.393 1.26 -0.60
203.10°2.270 -2.09 -0.89 0.0045 670,782 14.921 0.52 508.00 173.20°-0.99 0.12 334.81°1.393 1.26 -0.59
203.29°2.266 -2.08 -0.90 0.0088 1,309,692 14.969 1.01 509.00 174.20°-0.99 0.10 335.34°1.392 1.27 -0.58
203.49°2.262 -2.07 -0.90 0.0088 1,309,080 15.018 1.01 510.00 175.19°-1.00 0.08 335.87°1.392 1.27 -0.57
203.68°2.258 -2.07 -0.91 0.0087 1,308,445 15.066 1.01 511.00 176.18°-1.00 0.07 336.39°1.391 1.27 -0.56
203.88°2.254 -2.06 -0.91 0.0087 1,307,786 15.115 1.00 512.00 177.17°-1.00 0.05 336.92°1.391 1.28 -0.55
204°2.251 -2.06 -0.92 0.0450 6,735,142 15.146 5.15 512.63 177.76°-1.00 0.04 337.23°1.391 1.28 -0.54
204.07°2.249 -2.05 -0.92 0.0033 486,891 15.165 0.37 513.00 178.13°-1.00 0.03 337.43°1.391 1.28 -0.53
204.27°2.245 -2.05 -0.92 0.0089 1,332,088 15.215 1.01 514.00 179.13°-1.00 0.02 337.96°1.390 1.29 -0.52
204.47°2.241 -2.04 -0.93 0.0089 1,331,330 15.266 1.01 515.00 180.12°-1.00 0.00 338.49°1.390 1.29 -0.51
204.67°2.236 -2.03 -0.93 0.0089 1,330,549 15.316 1.01 516.00 181.11°-1.00 -0.02 339.01°1.389 1.30 -0.50
204.86°2.232 -2.02 -0.94 0.0089 1,329,742 15.367 1.00 517.00 182.10°-1.00 -0.04 339.54°1.389 1.30 -0.49
205°2.229 -2.02 -0.94 0.0449 6,716,714 15.402 5.05 517.68 182.74°-1.00 -0.05 339.88°1.389 1.30 -0.48
205.06°2.227 -2.02 -0.94 0.0029 431,107 15.419 0.32 518.00 183.05°-1.00 -0.05 340.05°1.389 1.31 -0.47
205.27°2.223 -2.01 -0.95 0.0091 1,354,905 15.471 1.01 519.00 184.05°-1.00 -0.07 340.58°1.388 1.31 -0.46
205.47°2.218 -2.00 -0.95 0.0091 1,353,988 15.524 1.01 520.00 185.05°-1.00 -0.09 341.11°1.388 1.31 -0.45
205.67°2.214 -2.00 -0.96 0.0090 1,353,044 15.577 1.01 521.00 186.04°-0.99 -0.11 341.63°1.388 1.32 -0.44
205.87°2.209 -1.99 -0.96 0.0090 1,352,075 15.630 1.00 522.00 187.03°-0.99 -0.12 342.16°1.387 1.32 -0.43
206°2.206 -1.98 -0.97 0.0448 6,695,123 15.663 4.95 522.63 187.61°-0.99 -0.13 342.47°1.387 1.32 -0.42
206.08°2.205 -1.98 -0.97 0.0034 511,247 15.683 0.38 523.00 187.98°-0.99 -0.14 342.67°1.387 1.32 -0.41
206.28°2.200 -1.97 -0.97 0.0092 1,378,066 15.738 1.01 524.00 188.98°-0.99 -0.16 343.20°1.387 1.33 -0.40
206.49°2.195 -1.96 -0.98 0.0092 1,376,973 15.793 1.01 525.00 189.98°-0.98 -0.17 343.73°1.386 1.33 -0.39
206.70°2.190 -1.96 -0.98 0.0092 1,375,853 15.848 1.00 526.00 190.97°-0.98 -0.19 344.25°1.386 1.33 -0.38
206.90°2.186 -1.95 -0.99 0.0092 1,374,704 15.903 1.00 527.00 191.95°-0.98 -0.21 344.78°1.386 1.34 -0.36
207°2.183 -1.95 -0.99 0.0446 6,670,358 15.929 4.85 527.48 192.39°-0.98 -0.21 345.01°1.386 1.34 -0.36
207.11°2.181 -1.94 -0.99 0.0049 735,107 15.959 0.53 528.00 192.91°-0.97 -0.22 345.29°1.385 1.34 -0.35
207.32°2.176 -1.93 -1.00 0.0094 1,401,487 16.016 1.01 529.00 193.91°-0.97 -0.24 345.82°1.385 1.34 -0.34
207.53°2.171 -1.93 -1.00 0.0094 1,400,201 16.073 1.01 530.00 194.91°-0.97 -0.26 346.35°1.385 1.35 -0.33
207.74°2.166 -1.92 -1.01 0.0094 1,398,887 16.130 1.00 531.00 195.90°-0.96 -0.27 346.87°1.385 1.35 -0.31
207.95°2.161 -1.91 -1.01 0.0093 1,397,543 16.187 1.00 532.00 196.88°-0.96 -0.29 347.40°1.384 1.35 -0.30
208°2.160 -1.91 -1.01 0.0444 6,642,434 16.200 4.75 532.22 197.07°-0.96 -0.29 347.49°1.384 1.35 -0.30
208.17°2.156 -1.90 -1.02 0.0074 1,110,395 16.246 0.79 533.00 197.85°-0.95 -0.31 347.91°1.384 1.35 -0.29
208.38°2.151 -1.89 -1.02 0.0095 1,425,073 16.305 1.01 534.00 198.84°-0.95 -0.32 348.44°1.384 1.36 -0.28
208.60°2.146 -1.88 -1.03 0.0095 1,423,578 16.364 1.01 535.00 199.83°-0.94 -0.34 348.97°1.384 1.36 -0.26
208.81°2.141 -1.88 -1.03 0.0095 1,422,053 16.423 1.00 536.00 200.82°-0.93 -0.36 349.49°1.383 1.36 -0.25
209°2.137 -1.87 -1.04 0.0442 6,611,386 16.475 4.64 536.87 201.64°-0.93 -0.37 349.93°1.383 1.36 -0.24
209.03°2.136 -1.87 -1.04 0.0013 194,240 16.483 0.14 537.00 201.78°-0.93 -0.37 350.00°1.383 1.36 -0.24
209.25°2.131 -1.86 -1.04 0.0097 1,450,413 16.544 1.01 538.00 202.78°-0.92 -0.39 350.53°1.383 1.36 -0.23
209.47°2.126 -1.85 -1.05 0.0097 1,448,724 16.606 1.01 539.00 203.77°-0.92 -0.40 351.06°1.383 1.37 -0.21
209.69°2.121 -1.84 -1.05 0.0097 1,447,002 16.667 1.00 540.00 204.76°-0.91 -0.42 351.59°1.383 1.37 -0.20
209.91°2.115 -1.83 -1.05 0.0097 1,445,248 16.729 1.00 541.00 205.75°-0.90 -0.43 352.11°1.383 1.37 -0.19
210°2.113 -1.83 -1.06 0.0440 6,577,270 16.754 4.54 541.41 206.12°-0.90 -0.44 352.31°1.383 1.37 -0.19
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
210.13°2.110 -1.83 -1.06 0.0058 870,927 16.792 0.60 542.00 206.71°-0.89 -0.45 352.62°1.382 1.37 -0.18
210.36°2.105 -1.82 -1.06 0.0099 1,474,263 16.855 1.01 543.00 207.71°-0.89 -0.47 353.15°1.382 1.37 -0.16
210.58°2.099 -1.81 -1.07 0.0098 1,472,329 16.919 1.01 544.00 208.70°-0.88 -0.48 353.68°1.382 1.37 -0.15
210.81°2.094 -1.80 -1.07 0.0098 1,470,362 16.983 1.00 545.00 209.69°-0.87 -0.50 354.21°1.382 1.38 -0.14
211°2.090 -1.79 -1.08 0.0437 6,540,159 17.037 4.44 545.85 210.50°-0.86 -0.51 354.64°1.382 1.38 -0.13
211.03°2.089 -1.79 -1.08 0.0015 220,891 17.047 0.15 546.00 210.65°-0.86 -0.51 354.72°1.382 1.38 -0.13
211.26°2.083 -1.78 -1.08 0.0100 1,500,129 17.112 1.01 547.00 211.65°-0.85 -0.52 355.25°1.382 1.38 -0.11
211.49°2.078 -1.77 -1.09 0.0100 1,497,967 17.178 1.01 548.00 212.64°-0.84 -0.54 355.78°1.382 1.38 -0.10
211.72°2.072 -1.76 -1.09 0.0100 1,495,770 17.244 1.00 549.00 213.63°-0.83 -0.55 356.30°1.382 1.38 -0.09
211.95°2.067 -1.75 -1.09 0.0100 1,493,539 17.311 1.00 550.00 214.62°-0.82 -0.57 356.83°1.382 1.38 -0.08
212°2.066 -1.75 -1.09 0.0435 6,500,142 17.324 4.34 550.20 214.78°-0.82 -0.57 356.91°1.382 1.38 -0.07
212.19°2.061 -1.74 -1.10 0.0082 1,227,387 17.378 0.82 551.00 215.59°-0.81 -0.58 357.34°1.382 1.38 -0.06
212.43°2.055 -1.73 -1.10 0.0102 1,523,842 17.446 1.01 552.00 216.58°-0.80 -0.60 357.87°1.382 1.38 -0.05
212.66°2.050 -1.73 -1.11 0.0102 1,521,399 17.515 1.01 553.00 217.57°-0.79 -0.61 358.40°1.382 1.38 -0.04
212.90°2.044 -1.72 -1.11 0.0102 1,518,920 17.583 1.00 554.00 218.56°-0.78 -0.62 358.92°1.382 1.38 -0.03
213°2.042 -1.71 -1.11 0.0432 6,457,323 17.613 4.24 554.44 218.96°-0.78 -0.63 359.14°1.382 1.38 -0.02
213.14°2.038 -1.71 -1.11 0.0058 870,738 17.653 0.57 555.00 219.53°-0.77 -0.64 359.44°1.381 1.38 -0.01
213.38°2.032 -1.70 -1.12 0.0104 1,549,874 17.723 1.01 556.00 220.52°-0.76 -0.65 359.97°1.381 1.38 0.00
213.62°2.027 -1.69 -1.12 0.0103 1,547,166 17.794 1.01 557.00 221.52°-0.75 -0.66 0.49°1.381 1.38 0.01
213.86°2.021 -1.68 -1.13 0.0103 1,544,423 17.865 1.00 558.00 222.50°-0.74 -0.68 1.02°1.382 1.38 0.02
214°2.017 -1.67 -1.13 0.0429 6,411,816 17.906 4.14 558.58 223.05°-0.73 -0.68 1.31°1.382 1.38 0.03
214.10°2.015 -1.67 -1.13 0.0044 657,397 17.936 0.42 559.00 223.47°-0.73 -0.69 1.53°1.382 1.38 0.04
214.35°2.009 -1.66 -1.13 0.0105 1,575,975 18.009 1.01 560.00 224.47°-0.71 -0.70 2.06°1.382 1.38 0.05
214.60°2.003 -1.65 -1.14 0.0105 1,572,986 18.082 1.01 561.00 225.46°-0.70 -0.71 2.59°1.382 1.38 0.06
214.84°1.997 -1.64 -1.14 0.0105 1,569,960 18.155 1.00 562.00 226.44°-0.69 -0.72 3.11°1.382 1.38 0.08
215°1.993 -1.63 -1.14 0.0425 6,363,746 18.201 4.05 562.63 227.04°-0.68 -0.73 3.43°1.382 1.38 0.08
215.09°1.991 -1.63 -1.14 0.0040 593,521 18.229 0.38 563.00 227.41°-0.68 -0.74 3.63°1.382 1.38 0.09
215.35°1.985 -1.62 -1.15 0.0107 1,602,052 18.305 1.01 564.00 228.41°-0.66 -0.75 4.16°1.382 1.38 0.10
215.60°1.979 -1.61 -1.15 0.0107 1,598,762 18.380 1.01 565.00 229.40°-0.65 -0.76 4.69°1.382 1.38 0.11
215.85°1.973 -1.60 -1.16 0.0107 1,595,435 18.456 1.00 566.00 230.39°-0.64 -0.77 5.21°1.382 1.38 0.13
216°1.969 -1.59 -1.16 0.0422 6,313,247 18.500 3.95 566.58 230.93°-0.63 -0.78 5.50°1.382 1.38 0.13
216.11°1.966 -1.59 -1.16 0.0046 685,034 18.532 0.43 567.00 231.35°-0.62 -0.78 5.72°1.382 1.38 0.14
216.37°1.960 -1.58 -1.16 0.0109 1,628,001 18.610 1.01 568.00 232.35°-0.61 -0.79 6.25°1.382 1.37 0.15
216.63°1.954 -1.57 -1.17 0.0109 1,624,392 18.688 1.01 569.00 233.34°-0.60 -0.80 6.78°1.382 1.37 0.16
216.89°1.948 -1.56 -1.17 0.0108 1,620,746 18.766 1.00 570.00 234.33°-0.58 -0.81 7.31°1.382 1.37 0.18
217°1.945 -1.55 -1.17 0.0418 6,260,460 18.800 3.85 570.43 234.73°-0.58 -0.82 7.52°1.383 1.37 0.18
217.15°1.941 -1.55 -1.17 0.0063 937,580 18.845 0.58 571.00 235.30°-0.57 -0.82 7.82°1.383 1.37 0.19
217.42°1.935 -1.54 -1.18 0.0111 1,653,715 18.926 1.01 572.00 236.29°-0.55 -0.83 8.35°1.383 1.37 0.20
217.68°1.928 -1.53 -1.18 0.0110 1,649,768 19.006 1.00 573.00 237.28°-0.54 -0.84 8.88°1.383 1.37 0.21
217.95°1.922 -1.52 -1.18 0.0110 1,645,784 19.087 1.00 574.00 238.27°-0.53 -0.85 9.40°1.383 1.36 0.23
218°1.921 -1.51 -1.18 0.0415 6,205,529 19.102 3.76 574.19 238.43°-0.52 -0.85 9.49°1.383 1.36 0.23
218.22°1.915 -1.50 -1.19 0.0091 1,356,459 19.169 0.82 575.00 239.24°-0.51 -0.86 9.92°1.383 1.36 0.24
218.49°1.909 -1.49 -1.19 0.0112 1,679,078 19.252 1.01 576.00 240.24°-0.50 -0.87 10.45°1.383 1.36 0.25
218.77°1.902 -1.48 -1.19 0.0112 1,674,774 19.335 1.00 577.00 241.23°-0.48 -0.88 10.97°1.384 1.36 0.26
219.04°1.896 -1.47 -1.19 0.0112 1,670,433 19.419 1.00 578.00 242.21°-0.47 -0.88 11.49°1.384 1.36 0.28
219°1.897 -1.47 -1.19 0.0411 6,148,603 19.407 3.67 577.86 242.05°-0.47 -0.88 11.41°1.384 1.36 0.27
219.04°1.896 -1.47 -1.19 0.0016 237,963 19.419 0.14 578.00 242.19°-0.47 -0.88 11.49°1.384 1.36 0.28
219.32°1.889 -1.46 -1.20 0.0114 1,708,608 19.504 1.01 579.00 243.19°-0.45 -0.89 12.02°1.384 1.35 0.29
219.60°1.882 -1.45 -1.20 0.0114 1,703,966 19.590 1.01 580.00 244.18°-0.44 -0.90 12.54°1.384 1.35 0.30
219.88°1.876 -1.44 -1.20 0.0114 1,699,287 19.676 1.00 581.00 245.17°-0.42 -0.91 13.07°1.385 1.35 0.31
220°1.873 -1.43 -1.20 0.0407 6,089,832 19.713 3.58 581.44 245.57°-0.41 -0.91 13.28°1.385 1.35 0.32
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
220.16°1.869 -1.43 -1.21 0.0065 979,064 19.763 0.57 582.00 246.14°-0.40 -0.91 13.58°1.385 1.35 0.33
220.45°1.862 -1.42 -1.21 0.0116 1,733,289 19.851 1.01 583.00 247.13°-0.39 -0.92 14.11°1.385 1.34 0.34
220.74°1.855 -1.41 -1.21 0.0116 1,728,252 19.940 1.00 584.00 248.12°-0.37 -0.93 14.64°1.385 1.34 0.35
221°1.849 -1.40 -1.21 0.0403 6,029,369 20.021 3.49 584.92 249.01°-0.36 -0.93 15.11°1.386 1.34 0.36
221.02°1.848 -1.39 -1.21 0.0009 137,805 20.028 0.08 585.00 249.09°-0.36 -0.93 15.15°1.386 1.34 0.36
221.32°1.841 -1.38 -1.22 0.0118 1,762,665 20.119 1.01 586.00 250.09°-0.34 -0.94 15.68°1.386 1.33 0.37
221.61°1.834 -1.37 -1.22 0.0117 1,757,251 20.210 1.01 587.00 251.08°-0.32 -0.95 16.21°1.386 1.33 0.39
221.91°1.827 -1.36 -1.22 0.0117 1,751,802 20.301 1.00 588.00 252.06°-0.31 -0.95 16.73°1.387 1.33 0.40
222°1.825 -1.36 -1.22 0.0399 5,967,364 20.330 3.40 588.32 252.36°-0.30 -0.95 16.89°1.387 1.33 0.40
222.21°1.820 -1.35 -1.22 0.0082 1,219,457 20.394 0.69 589.00 253.04°-0.29 -0.96 17.25°1.387 1.32 0.41
222.51°1.813 -1.34 -1.23 0.0119 1,786,199 20.488 1.01 590.00 254.03°-0.28 -0.96 17.78°1.387 1.32 0.42
222.81°1.806 -1.32 -1.23 0.0119 1,780,354 20.582 1.00 591.00 255.02°-0.26 -0.97 18.31°1.387 1.32 0.44
223°1.801 -1.32 -1.23 0.0395 5,903,968 20.641 3.31 591.63 255.62°-0.25 -0.97 18.63°1.388 1.32 0.44
223.11°1.799 -1.31 -1.23 0.0045 673,703 20.677 0.38 592.00 255.99°-0.24 -0.97 18.82°1.388 1.31 0.45
223.42°1.791 -1.30 -1.23 0.0121 1,815,008 20.773 1.01 593.00 256.99°-0.23 -0.97 19.35°1.388 1.31 0.46
223.73°1.784 -1.29 -1.23 0.0121 1,808,747 20.870 1.00 594.00 257.98°-0.21 -0.98 19.88°1.389 1.31 0.47
224°1.778 -1.28 -1.24 0.0390 5,839,329 20.953 3.23 594.86 258.80°-0.19 -0.98 20.32°1.389 1.30 0.48
224.05°1.777 -1.28 -1.24 0.0018 267,189 20.967 0.15 595.00 258.94°-0.19 -0.98 20.39°1.389 1.30 0.48
224.36°1.770 -1.27 -1.24 0.0123 1,842,191 21.067 1.01 596.00 259.94°-0.17 -0.98 20.92°1.389 1.30 0.50
224.68°1.762 -1.25 -1.24 0.0123 1,835,506 21.166 1.00 597.00 260.93°-0.16 -0.99 21.45°1.390 1.29 0.51
225°1.755 -1.24 -1.24 0.0386 5,773,592 21.266 3.14 598.00 261.90°-0.14 -0.99 21.96°1.390 1.29 0.52
225.33°1.747 -1.23 -1.24 0.0125 1,871,841 21.368 1.01 599.00 262.90°-0.12 -0.99 22.49°1.391 1.28 0.53
225.65°1.740 -1.22 -1.24 0.0125 1,864,691 21.470 1.01 600.00 263.89°-0.11 -0.99 23.02°1.391 1.28 0.54
225.98°1.732 -1.20 -1.25 0.0124 1,857,512 21.573 1.00 601.00 264.87°-0.09 -1.00 23.54°1.391 1.28 0.56
226°1.732 -1.20 -1.25 0.0381 5,706,899 21.579 3.06 601.06 264.91°-0.09 -1.00 23.57°1.391 1.28 0.56
226.31°1.725 -1.19 -1.25 0.0119 1,783,693 21.678 0.95 602.00 265.85°-0.07 -1.00 24.07°1.392 1.27 0.57
226.65°1.717 -1.18 -1.25 0.0126 1,892,021 21.783 1.01 603.00 266.84°-0.06 -1.00 24.59°1.392 1.27 0.58
226.99°1.709 -1.17 -1.25 0.0126 1,884,372 21.889 1.00 604.00 267.82°-0.04 -1.00 25.11°1.393 1.26 0.59
227°1.709 -1.17 -1.25 0.0377 5,639,386 21.893 2.98 604.04 267.85°-0.04 -1.00 25.13°1.393 1.26 0.59
227.33°1.702 -1.15 -1.25 0.0123 1,845,395 21.997 0.97 605.00 268.81°-0.02 -1.00 25.64°1.393 1.26 0.60
227.67°1.694 -1.14 -1.25 0.0128 1,918,784 22.106 1.00 606.00 269.80°0.00 -1.00 26.16°1.394 1.25 0.61
228°1.686 -1.13 -1.25 0.0372 5,571,186 22.208 2.90 606.95 270.71°0.01 -1.00 26.65°1.394 1.25 0.63
228.02°1.686 -1.13 -1.25 0.0007 106,350 22.214 0.06 607.00 270.77°0.01 -1.00 26.68°1.394 1.25 0.63
228.37°1.678 -1.11 -1.25 0.0131 1,953,492 22.326 1.01 608.00 271.77°0.03 -1.00 27.21°1.395 1.24 0.64
228.73°1.670 -1.10 -1.26 0.0130 1,944,867 22.437 1.00 609.00 272.76°0.05 -1.00 27.74°1.395 1.23 0.65
229°1.664 -1.09 -1.26 0.0368 5,502,428 22.524 2.83 609.77 273.50°0.06 -1.00 28.13°1.396 1.23 0.66
229.08°1.662 -1.09 -1.26 0.0030 450,239 22.550 0.23 610.00 273.73°0.07 -1.00 28.25°1.396 1.23 0.66
229.45°1.654 -1.08 -1.26 0.0132 1,979,304 22.664 1.01 611.00 274.72°0.08 -1.00 28.78°1.396 1.22 0.67
229.81°1.646 -1.06 -1.26 0.0132 1,970,155 22.779 1.00 612.00 275.71°0.10 -1.00 29.31°1.397 1.22 0.68
230°1.642 -1.06 -1.26 0.0363 5,433,233 22.839 2.75 612.53 276.21°0.11 -0.99 29.57°1.397 1.22 0.69
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
230.18°1.638 -1.05 -1.26 0.0064 952,380 22.895 0.48 613.00 276.69°0.12 -0.99 29.83°1.397 1.21 0.69
230.55°1.630 -1.04 -1.26 0.0134 2,004,217 23.013 1.01 614.00 277.68°0.13 -0.99 30.36°1.398 1.21 0.71
230.92°1.622 -1.02 -1.26 0.0133 1,994,527 23.131 1.00 615.00 278.67°0.15 -0.99 30.88°1.398 1.20 0.72
231°1.620 -1.02 -1.26 0.0359 5,363,718 23.156 2.68 615.21 278.86°0.15 -0.99 30.98°1.399 1.20 0.72
231.30°1.614 -1.01 -1.26 0.0108 1,614,541 23.251 0.80 616.00 279.65°0.17 -0.99 31.40°1.399 1.19 0.73
231.69°1.605 -1.00 -1.26 0.0136 2,028,108 23.373 1.00 617.00 280.64°0.18 -0.98 31.93°1.400 1.19 0.74
232°1.599 -0.98 -1.26 0.0354 5,293,995 23.472 2.61 617.82 281.43°0.20 -0.98 32.35°1.400 1.18 0.75
232.07°1.597 -0.98 -1.26 0.0025 376,354 23.494 0.19 618.00 281.61°0.20 -0.98 32.44°1.400 1.18 0.75
232.47°1.589 -0.97 -1.26 0.0138 2,061,664 23.619 1.01 619.00 282.61°0.22 -0.98 32.97°1.401 1.18 0.76
232.86°1.580 -0.95 -1.26 0.0137 2,050,852 23.743 1.00 620.00 283.59°0.24 -0.97 33.50°1.401 1.17 0.77
233°1.578 -0.95 -1.26 0.0349 5,224,168 23.788 2.54 620.36 283.93°0.24 -0.97 33.68°1.402 1.17 0.78
233.26°1.572 -0.94 -1.26 0.0090 1,339,880 23.870 0.65 621.00 284.58°0.25 -0.97 34.02°1.402 1.16 0.78
233.66°1.564 -0.93 -1.26 0.0139 2,083,722 23.997 1.00 622.00 285.57°0.27 -0.96 34.55°1.403 1.16 0.80
234°1.557 -0.91 -1.26 0.0345 5,154,337 24.104 2.47 622.83 286.37°0.28 -0.96 34.98°1.403 1.15 0.80
234.07°1.555 -0.91 -1.26 0.0023 350,758 24.126 0.17 623.00 286.54°0.28 -0.96 35.06°1.403 1.15 0.81
234.48°1.547 -0.90 -1.26 0.0141 2,116,393 24.257 1.01 624.00 287.54°0.30 -0.95 35.59°1.404 1.14 0.82
234.90°1.538 -0.88 -1.26 0.0141 2,104,396 24.388 1.00 625.00 288.52°0.32 -0.95 36.12°1.405 1.13 0.83
235°1.536 -0.88 -1.26 0.0340 5,084,595 24.420 2.41 625.24 288.75°0.32 -0.95 36.24°1.405 1.13 0.83
235.32°1.529 -0.87 -1.26 0.0108 1,621,835 24.522 0.77 626.00 289.50°0.33 -0.94 36.64°1.405 1.13 0.84
235.75°1.521 -0.86 -1.26 0.0143 2,136,166 24.656 1.00 627.00 290.49°0.35 -0.94 37.17°1.406 1.12 0.85
236°1.516 -0.85 -1.26 0.0335 5,015,031 24.736 2.35 627.59 291.06°0.36 -0.93 37.47°1.406 1.12 0.86
236.18°1.512 -0.84 -1.26 0.0059 889,807 24.792 0.42 628.00 291.47°0.37 -0.93 37.69°1.407 1.11 0.86
236.62°1.503 -0.83 -1.26 0.0145 2,167,555 24.930 1.01 629.00 292.46°0.38 -0.92 38.21°1.407 1.11 0.87
237°1.495 -0.81 -1.25 0.0331 4,945,726 25.051 2.28 629.88 293.31°0.40 -0.92 38.67°1.408 1.10 0.88
237.06°1.494 -0.81 -1.25 0.0018 273,056 25.069 0.13 630.00 293.44°0.40 -0.92 38.73°1.408 1.10 0.88
237.51°1.485 -0.80 -1.25 0.0147 2,198,477 25.211 1.01 631.00 294.43°0.41 -0.91 39.26°1.409 1.09 0.89
237.95°1.477 -0.78 -1.25 0.0146 2,184,585 25.352 1.00 632.00 295.42°0.43 -0.90 39.78°1.409 1.08 0.90
238°1.476 -0.78 -1.25 0.0326 4,876,757 25.367 2.23 632.10 295.51°0.43 -0.90 39.83°1.409 1.08 0.90
238.41°1.468 -0.77 -1.25 0.0134 2,002,235 25.497 0.91 633.00 296.40°0.44 -0.90 40.31°1.410 1.08 0.91
238.88°1.459 -0.75 -1.25 0.0148 2,214,280 25.642 1.00 634.00 297.39°0.46 -0.89 40.83°1.411 1.07 0.92
239°1.456 -0.75 -1.25 0.0321 4,808,194 25.681 2.17 634.27 297.64°0.46 -0.89 40.97°1.411 1.07 0.93
239.35°1.450 -0.74 -1.25 0.0110 1,650,988 25.790 0.74 635.00 298.37°0.48 -0.88 41.36°1.412 1.06 0.93
239.82°1.441 -0.72 -1.25 0.0150 2,243,313 25.939 1.00 636.00 299.36°0.49 -0.87 41.88°1.412 1.05 0.94
240°1.437 -0.72 -1.24 0.0317 4,740,102 25.995 2.11 636.38 299.72°0.50 -0.87 42.07°1.413 1.05 0.95
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
240.30°1.431 -0.71 -1.24 0.0095 1,419,097 26.090 0.63 637.00 300.34°0.51 -0.86 42.40°1.413 1.04 0.95
240.79°1.422 -0.69 -1.24 0.0152 2,271,594 26.243 1.00 638.00 301.33°0.52 -0.85 42.93°1.414 1.04 0.96
241°1.418 -0.69 -1.24 0.0312 4,672,543 26.309 2.06 638.43 301.75°0.53 -0.85 43.15°1.414 1.03 0.97
241.28°1.413 -0.68 -1.24 0.0087 1,307,641 26.397 0.57 639.00 302.31°0.53 -0.85 43.45°1.415 1.03 0.97
241.78°1.404 -0.66 -1.24 0.0154 2,299,031 26.553 1.00 640.00 303.30°0.55 -0.84 43.98°1.415 1.02 0.98
242°1.400 -0.66 -1.24 0.0308 4,605,572 26.621 2.00 640.44 303.72°0.56 -0.83 44.20°1.416 1.01 0.99
242.29°1.394 -0.65 -1.23 0.0088 1,317,460 26.712 0.57 641.00 304.29°0.56 -0.83 44.50°1.416 1.01 0.99
242.80°1.385 -0.63 -1.23 0.0155 2,325,532 26.872 1.00 642.00 305.27°0.58 -0.82 45.02°1.417 1.00 1.00
243°1.382 -0.63 -1.23 0.0303 4,539,239 26.933 1.95 642.39 305.65°0.58 -0.81 45.22°1.417 1.00 1.01
243.32°1.376 -0.62 -1.23 0.0097 1,449,144 27.034 0.62 643.00 306.26°0.59 -0.81 45.55°1.418 0.99 1.01
243.85°1.366 -0.60 -1.23 0.0157 2,351,005 27.198 1.00 644.00 307.24°0.61 -0.80 46.07°1.419 0.98 1.02
244°1.364 -0.60 -1.23 0.0299 4,473,589 27.245 1.90 644.29 307.52°0.61 -0.79 46.22°1.419 0.98 1.02
244.38°1.357 -0.59 -1.22 0.0114 1,703,019 27.364 0.72 645.00 308.23°0.62 -0.79 46.60°1.419 0.98 1.03
244.92°1.347 -0.57 -1.22 0.0159 2,375,361 27.531 1.00 646.00 309.21°0.63 -0.77 47.12°1.420 0.97 1.04
245°1.346 -0.57 -1.22 0.0295 4,408,665 27.555 1.85 646.14 309.34°0.63 -0.77 47.19°1.420 0.97 1.04
245.48°1.338 -0.56 -1.22 0.0139 2,079,138 27.702 0.87 647.00 310.20°0.65 -0.76 47.64°1.421 0.96 1.05
246°1.329 -0.54 -1.21 0.0290 4,344,504 27.864 1.80 647.94 311.12°0.66 -0.75 48.13°1.422 0.95 1.06
246.03°1.328 -0.54 -1.21 0.0009 136,580 27.874 0.06 648.00 311.18°0.66 -0.75 48.16°1.422 0.95 1.06
246.60°1.319 -0.52 -1.21 0.0163 2,440,696 28.049 1.01 649.00 312.17°0.67 -0.74 48.69°1.423 0.94 1.07
247°1.312 -0.51 -1.21 0.0286 4,281,139 28.172 1.76 649.70 312.86°0.68 -0.73 49.06°1.423 0.93 1.08
247.17°1.309 -0.51 -1.21 0.0049 735,010 28.226 0.30 650.00 313.15°0.68 -0.73 49.21°1.424 0.93 1.08
247.76°1.299 -0.49 -1.20 0.0165 2,461,916 28.405 1.00 651.00 314.14°0.70 -0.72 49.74°1.424 0.92 1.09
248°1.295 -0.49 -1.20 0.0282 4,218,599 28.480 1.71 651.42 314.55°0.70 -0.71 49.95°1.425 0.92 1.09
248.35°1.289 -0.48 -1.20 0.0097 1,455,601 28.586 0.59 652.00 315.13°0.71 -0.71 50.26°1.425 0.91 1.10
248.95°1.280 -0.46 -1.19 0.0166 2,481,678 28.769 1.00 653.00 316.11°0.72 -0.69 50.79°1.426 0.90 1.11
249°1.279 -0.46 -1.19 0.0278 4,156,912 28.786 1.67 653.09 316.19°0.72 -0.69 50.83°1.426 0.90 1.11
249.56°1.270 -0.44 -1.19 0.0154 2,297,334 28.956 0.92 654.00 317.10°0.73 -0.68 51.31°1.427 0.89 1.11
250°1.263 -0.43 -1.19 0.0274 4,096,100 29.091 1.63 654.72 317.80°0.74 -0.67 51.68°1.428 0.89 1.12
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
250.18°1.260 -0.43 -1.19 0.0048 718,931 29.144 0.29 655.00 318.08°0.74 -0.67 51.83°1.428 0.88 1.12
250.81°1.250 -0.41 -1.18 0.0170 2,539,966 29.335 1.00 656.00 319.07°0.76 -0.66 52.36°1.429 0.87 1.13
251°1.247 -0.41 -1.18 0.0270 4,036,182 29.394 1.59 656.31 319.37°0.76 -0.65 52.52°1.429 0.87 1.13
251.45°1.240 -0.39 -1.18 0.0119 1,783,039 29.529 0.70 657.00 320.05°0.77 -0.64 52.88°1.430 0.86 1.14
252°1.231 -0.38 -1.17 0.0266 3,977,175 29.696 1.55 657.86 320.89°0.78 -0.63 53.33°1.431 0.85 1.15
252.09°1.230 -0.38 -1.17 0.0025 370,543 29.725 0.14 658.00 321.04°0.78 -0.63 53.40°1.431 0.85 1.15
252.76°1.220 -0.36 -1.17 0.0173 2,594,650 29.924 1.00 659.00 322.03°0.79 -0.62 53.93°1.432 0.84 1.16
253°1.216 -0.36 -1.16 0.0262 3,919,093 29.997 1.51 659.37 322.38°0.79 -0.61 54.12°1.432 0.84 1.16
253.43°1.210 -0.35 -1.16 0.0111 1,655,793 30.125 0.64 660.00 323.01°0.80 -0.60 54.46°1.433 0.83 1.17
254°1.201 -0.33 -1.15 0.0258 3,861,947 30.297 1.48 660.85 323.84°0.81 -0.59 54.89°1.433 0.82 1.17
254.11°1.200 -0.33 -1.15 0.0027 411,216 30.329 0.16 661.00 323.99°0.81 -0.59 54.98°1.434 0.82 1.17
254.80°1.190 -0.31 -1.15 0.0177 2,645,167 30.536 1.00 662.00 324.98°0.82 -0.57 55.50°1.435 0.81 1.18
255°1.187 -0.31 -1.15 0.0254 3,805,747 30.595 1.44 662.29 325.26°0.82 -0.57 55.65°1.435 0.81 1.18
255.51°1.180 -0.30 -1.14 0.0128 1,914,791 30.746 0.72 663.00 325.97°0.83 -0.56 56.03°1.436 0.80 1.19
256°1.173 -0.28 -1.14 0.0251 3,750,499 30.892 1.41 663.69 326.64°0.84 -0.55 56.39°1.436 0.80 1.20
256.23°1.169 -0.28 -1.14 0.0056 839,087 30.958 0.31 664.00 326.95°0.84 -0.55 56.55°1.437 0.79 1.20
256.95°1.159 -0.26 -1.13 0.0180 2,690,992 31.173 1.00 665.00 327.94°0.85 -0.53 57.07°1.437 0.78 1.21
257°1.159 -0.26 -1.13 0.0247 3,696,209 31.187 1.37 665.06 327.99°0.85 -0.53 57.10°1.438 0.78 1.21
257.70°1.149 -0.24 -1.12 0.0171 2,556,559 31.392 0.94 666.00 328.92°0.86 -0.52 57.60°1.438 0.77 1.21
258°1.145 -0.24 -1.12 0.0244 3,642,878 31.480 1.34 666.40 329.31°0.86 -0.51 57.81°1.439 0.77 1.22
258.46°1.139 -0.23 -1.12 0.0110 1,649,563 31.614 0.60 667.00 329.91°0.87 -0.50 58.12°1.439 0.76 1.22
259°1.131 -0.22 -1.11 0.0240 3,590,508 31.772 1.31 667.71 330.60°0.87 -0.49 58.49°1.440 0.75 1.23
259.23°1.128 -0.21 -1.11 0.0054 809,478 31.838 0.29 668.00 330.89°0.87 -0.49 58.65°1.440 0.75 1.23
260°1.118 -0.19 -1.10 0.0237 3,539,099 32.062 1.28 668.99 331.86°0.88 -0.47 59.16°1.441 0.74 1.24
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
260.01°1.118 -0.19 -1.10 0.0002 36,646 32.065 0.01 669.00 331.88°0.88 -0.47 59.17°1.441 0.74 1.24
260.81°1.108 -0.18 -1.09 0.0187 2,798,653 32.296 1.00 670.00 332.86°0.89 -0.46 59.69°1.442 0.73 1.25
261°1.105 -0.17 -1.09 0.0233 3,488,649 32.351 1.25 670.24 333.09°0.89 -0.45 59.82°1.443 0.73 1.25
261.63°1.097 -0.16 -1.09 0.0145 2,162,602 32.531 0.77 671.00 333.85°0.90 -0.44 60.22°1.444 0.72 1.25
262°1.092 -0.15 -1.08 0.0230 3,439,154 32.637 1.22 671.45 334.30°0.90 -0.43 60.45°1.444 0.71 1.26
262.46°1.087 -0.14 -1.08 0.0104 1,556,969 32.768 0.55 672.00 334.84°0.91 -0.43 60.74°1.445 0.71 1.26
263°1.080 -0.13 -1.07 0.0227 3,390,610 32.922 1.19 672.65 335.47°0.91 -0.42 61.08°1.445 0.70 1.26
263.30°1.076 -0.13 -1.07 0.0068 1,018,486 33.008 0.36 673.00 335.82°0.91 -0.41 61.27°1.446 0.69 1.27
264°1.068 -0.11 -1.06 0.0223 3,343,011 33.205 1.17 673.81 336.62°0.92 -0.40 61.69°1.446 0.69 1.27
264.17°1.066 -0.11 -1.06 0.0037 547,170 33.252 0.19 674.00 336.81°0.92 -0.39 61.79°1.447 0.68 1.27
265°1.056 -0.09 -1.05 0.0220 3,296,351 33.486 1.14 674.95 337.74°0.93 -0.38 62.29°1.448 0.67 1.28
265.04°1.055 -0.09 -1.05 0.0010 142,967 33.499 0.05 675.00 337.79°0.93 -0.38 62.31°1.448 0.67 1.28
265.94°1.045 -0.07 -1.04 0.0195 2,917,649 33.749 1.00 676.00 338.78°0.93 -0.36 62.84°1.449 0.66 1.29
266°1.044 -0.07 -1.04 0.0217 3,250,623 33.766 1.11 676.07 338.84°0.93 -0.36 62.87°1.449 0.66 1.29
266.86°1.034 -0.06 -1.03 0.0184 2,751,178 34.003 0.94 677.00 339.76°0.94 -0.35 63.36°1.450 0.65 1.30
267°1.033 -0.05 -1.03 0.0214 3,205,817 34.043 1.09 677.16 339.91°0.94 -0.34 63.44°1.450 0.65 1.30
267.79°1.024 -0.04 -1.02 0.0168 2,507,616 34.261 0.85 678.00 340.75°0.94 -0.33 63.89°1.451 0.64 1.30
268°1.022 -0.04 -1.02 0.0211 3,161,925 34.318 1.07 678.22 340.97°0.95 -0.33 64.00°1.451 0.64 1.30
268.75°1.013 -0.02 -1.01 0.0156 2,329,604 34.522 0.78 679.00 341.73°0.95 -0.31 64.41°1.452 0.63 1.31
269°1.011 -0.02 -1.01 0.0208 3,118,937 34.591 1.04 679.27 341.99°0.95 -0.31 64.55°1.452 0.62 1.31
269.72°1.003 0.00 -1.00 0.0148 2,216,748 34.787 0.74 680.00 342.72°0.95 -0.30 64.93°1.453 0.62 1.32
270°1.000 0.00 -1.00 0.0206 3,076,843 34.863 1.02 680.29 343.00°0.96 -0.29 65.08°1.453 0.61 1.32
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
270.71°0.992 0.01 -0.99 0.0145 2,168,577 35.055 0.72 681.00 343.71°0.96 -0.28 65.46°1.454 0.60 1.32
271°0.989 0.02 -0.99 0.0203 3,035,633 35.132 1.00 681.29 343.99°0.96 -0.28 65.61°1.454 0.60 1.32
271.73°0.982 0.03 -0.98 0.0146 2,184,549 35.326 0.72 682.00 344.69°0.96 -0.26 65.98°1.455 0.59 1.33
272°0.979 0.03 -0.98 0.0200 2,995,294 35.399 0.98 682.27 344.95°0.97 -0.26 66.12°1.455 0.59 1.33
272.76°0.971 0.05 -0.97 0.0151 2,264,048 35.601 0.74 683.00 345.68°0.97 -0.25 66.51°1.456 0.58 1.34
273°0.969 0.05 -0.97 0.0198 2,955,815 35.664 0.96 683.23 345.90°0.97 -0.24 66.62°1.456 0.58 1.34
273.82°0.961 0.06 -0.96 0.0161 2,406,390 35.880 0.78 684.00 346.66°0.97 -0.23 67.03°1.457 0.57 1.34
274°0.959 0.07 -0.96 0.0195 2,917,185 35.926 0.94 684.17 346.82°0.97 -0.23 67.11°1.458 0.57 1.34
274.91°0.951 0.08 -0.95 0.0175 2,610,819 36.162 0.84 685.00 347.65°0.98 -0.21 67.55°1.458 0.56 1.35
275°0.950 0.08 -0.95 0.0192 2,879,391 36.187 0.92 685.09 347.73°0.98 -0.21 67.60°1.459 0.56 1.35
276°0.940 0.10 -0.94 0.0190 2,842,421 36.445 0.90 685.99 348.62°0.98 -0.20 68.07°1.460 0.55 1.35
276.01°0.940 0.10 -0.93 0.0002 34,775 36.448 0.01 686.00 348.63°0.98 -0.20 68.08°1.460 0.54 1.35
277°0.931 0.11 -0.92 0.0188 2,806,262 36.701 0.88 686.87 349.49°0.98 -0.18 68.53°1.461 0.53 1.36
277.15°0.930 0.12 -0.92 0.0027 404,160 36.738 0.13 687.00 349.62°0.98 -0.18 68.60°1.461 0.53 1.36
278°0.922 0.13 -0.91 0.0185 2,770,902 36.954 0.87 687.74 350.35°0.99 -0.17 68.99°1.462 0.52 1.36
278.30°0.919 0.13 -0.91 0.0056 833,142 37.031 0.26 688.00 350.61°0.99 -0.16 69.13°1.462 0.52 1.37
279°0.913 0.14 -0.90 0.0183 2,736,328 37.205 0.85 688.59 351.19°0.99 -0.15 69.44°1.462 0.51 1.37
279.49°0.909 0.15 -0.90 0.0088 1,320,665 37.327 0.41 689.00 351.59°0.99 -0.15 69.65°1.463 0.51 1.37
280°0.904 0.16 -0.89 0.0181 2,702,526 37.454 0.84 689.43 352.01°0.99 -0.14 69.87°1.463 0.50 1.37
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
280.70°0.899 0.17 -0.88 0.0125 1,865,620 37.626 0.57 690.00 352.58°0.99 -0.13 70.17°1.464 0.50 1.38
281°0.896 0.17 -0.88 0.0178 2,669,485 37.701 0.82 690.25 352.82°0.99 -0.13 70.30°1.464 0.49 1.38
281.94°0.888 0.18 -0.87 0.0165 2,466,851 37.929 0.75 691.00 353.56°0.99 -0.11 70.70°1.465 0.48 1.38
282°0.888 0.18 -0.87 0.0176 2,637,191 37.945 0.80 691.05 353.61°0.99 -0.11 70.72°1.465 0.48 1.38
283°0.880 0.20 -0.86 0.0174 2,605,632 38.186 0.79 691.84 354.39°1.00 -0.10 71.14°1.466 0.47 1.39
283.20°0.878 0.20 -0.85 0.0035 527,004 38.235 0.16 692.00 354.55°1.00 -0.10 71.22°1.466 0.47 1.39
284°0.872 0.21 -0.85 0.0172 2,574,794 38.425 0.78 692.62 355.15°1.00 -0.08 71.54°1.467 0.46 1.39
284.50°0.868 0.22 -0.84 0.0086 1,281,222 38.544 0.38 693.00 355.53°1.00 -0.08 71.75°1.468 0.46 1.39
285°0.864 0.22 -0.83 0.0170 2,544,665 38.662 0.76 693.38 355.90°1.00 -0.07 71.94°1.468 0.46 1.40
285.83°0.858 0.23 -0.83 0.0140 2,087,826 38.856 0.62 694.00 356.52°1.00 -0.06 72.27°1.469 0.45 1.40
286°0.856 0.24 -0.82 0.0168 2,515,231 38.896 0.75 694.13 356.64°1.00 -0.06 72.34°1.469 0.45 1.40
287°0.849 0.25 -0.81 0.0166 2,486,482 39.127 0.74 694.86 357.37°1.00 -0.05 72.72°1.470 0.44 1.40
287.19°0.848 0.25 -0.81 0.0031 466,947 39.171 0.14 695.00 357.50°1.00 -0.04 72.79°1.470 0.43 1.40
288°0.842 0.26 -0.80 0.0164 2,458,403 39.356 0.72 695.59 358.08°1.00 -0.03 73.10°1.471 0.43 1.41
288.58°0.838 0.27 -0.79 0.0095 1,418,184 39.488 0.42 696.00 358.49°1.00 -0.03 73.32°1.471 0.42 1.41
289°0.835 0.27 -0.79 0.0163 2,430,984 39.583 0.71 696.30 358.78°1.00 -0.02 73.47°1.471 0.42 1.41
290°0.828 0.28 -0.78 0.0161 2,404,211 39.806 0.70 697.00 359.47°1.00 -0.01 73.84°1.472 0.41 1.41
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
290.01°0.828 0.28 -0.78 0.0001 13,357 39.808 0.00 697.00 359.47°1.00 -0.01 73.84°1.472 0.41 1.41
291°0.821 0.29 -0.77 0.0159 2,378,073 40.027 0.69 697.68 0.15°1.00 0.00 74.20°1.473 0.40 1.42
291.47°0.818 0.30 -0.76 0.0074 1,102,680 40.130 0.32 698.00 0.46°1.00 0.01 74.37°1.473 0.40 1.42
292°0.814 0.31 -0.76 0.0157 2,352,557 40.246 0.68 698.36 0.81°1.00 0.01 74.55°1.474 0.39 1.42
292.96°0.808 0.32 -0.74 0.0150 2,236,584 40.453 0.64 699.00 1.44°1.00 0.03 74.89°1.475 0.38 1.42
293°0.808 0.32 -0.74 0.0156 2,327,653 40.461 0.67 699.03 1.47°1.00 0.03 74.90°1.475 0.38 1.42
294°0.802 0.33 -0.73 0.0154 2,303,348 40.674 0.66 699.68 2.12°1.00 0.04 75.25°1.475 0.38 1.43
294.49°0.799 0.33 -0.73 0.0075 1,127,600 40.778 0.32 700.00 2.43°1.00 0.04 75.41°1.476 0.37 1.43
295°0.795 0.34 -0.72 0.0152 2,279,632 40.884 0.65 700.33 2.75°1.00 0.05 75.58°1.476 0.37 1.43
296°0.789 0.35 -0.71 0.0151 2,256,493 41.092 0.64 700.96 3.38°1.00 0.06 75.92°1.477 0.36 1.43
296.06°0.789 0.35 -0.71 0.0009 134,302 41.104 0.04 701.00 3.42°1.00 0.06 75.94°1.477 0.36 1.43
297°0.784 0.36 -0.70 0.0149 2,233,921 41.296 0.63 701.59 4.00°1.00 0.07 76.24°1.478 0.35 1.44
297.67°0.780 0.36 -0.69 0.0099 1,477,346 41.431 0.41 702.00 4.40°1.00 0.08 76.46°1.478 0.35 1.44
298°0.778 0.37 -0.69 0.0148 2,211,904 41.498 0.62 702.21 4.60°1.00 0.08 76.57°1.478 0.34 1.44
299°0.772 0.37 -0.68 0.0146 2,190,433 41.697 0.61 702.81 5.20°1.00 0.09 76.89°1.479 0.34 1.44
299.31°0.771 0.38 -0.67 0.0045 677,074 41.758 0.19 703.00 5.39°1.00 0.09 76.99°1.479 0.33 1.44
300°0.767 0.38 -0.66 0.0145 2,169,497 41.893 0.60 703.41 5.79°0.99 0.10 77.20°1.480 0.33 1.44
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
300.99°0.761 0.39 -0.65 0.0143 2,134,806 42.085 0.59 704.00 6.37°0.99 0.11 77.51°1.481 0.32 1.45
301°0.761 0.39 -0.65 0.0144 2,149,085 42.087 0.59 704.00 6.38°0.99 0.11 77.51°1.481 0.32 1.45
302°0.756 0.40 -0.64 0.0142 2,129,189 42.277 0.58 704.59 6.95°0.99 0.12 77.82°1.481 0.31 1.45
302.72°0.753 0.41 -0.63 0.0101 1,517,755 42.412 0.41 705.00 7.36°0.99 0.13 78.03°1.482 0.31 1.45
303°0.751 0.41 -0.63 0.0141 2,109,798 42.464 0.58 705.16 7.52°0.99 0.13 78.12°1.482 0.31 1.45
304°0.746 0.42 -0.62 0.0140 2,090,904 42.649 0.57 705.73 8.08°0.99 0.14 78.41°1.483 0.30 1.45
304.48°0.744 0.42 -0.61 0.0067 1,003,927 42.737 0.27 706.00 8.35°0.99 0.15 78.56°1.483 0.29 1.45
305°0.741 0.43 -0.61 0.0139 2,072,496 42.831 0.56 706.29 8.63°0.99 0.15 78.71°1.483 0.29 1.45
306°0.737 0.43 -0.60 0.0137 2,054,566 43.009 0.55 706.84 9.17°0.99 0.16 79.00°1.484 0.28 1.46
306.29°0.735 0.44 -0.59 0.0039 590,294 43.060 0.16 707.00 9.33°0.99 0.16 79.08°1.484 0.28 1.46
307°0.732 0.44 -0.58 0.0136 2,037,105 43.185 0.55 707.39 9.71°0.99 0.17 79.28°1.485 0.28 1.46
308°0.728 0.45 -0.57 0.0135 2,020,105 43.358 0.54 707.93 10.24°0.98 0.18 79.57°1.485 0.27 1.46
308.14°0.727 0.45 -0.57 0.0018 273,639 43.381 0.07 708.00 10.32°0.98 0.18 79.60°1.485 0.27 1.46
309°0.723 0.46 -0.56 0.0134 2,003,556 43.527 0.53 708.46 10.77°0.98 0.19 79.85°1.486 0.26 1.46
310°0.719 0.46 -0.55 0.0133 1,987,452 43.694 0.53 708.99 11.29°0.98 0.20 80.12°1.487 0.26 1.46
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
310.03°0.719 0.46 -0.55 0.0003 50,574 43.698 0.01 709.00 11.30°0.98 0.20 80.13°1.487 0.25 1.46
311°0.715 0.47 -0.54 0.0132 1,971,785 43.858 0.52 709.51 11.80°0.98 0.20 80.39°1.487 0.25 1.47
311.96°0.711 0.48 -0.53 0.0125 1,875,023 44.011 0.49 710.00 12.29°0.98 0.21 80.65°1.488 0.24 1.47
312°0.711 0.48 -0.53 0.0131 1,956,545 44.018 0.51 710.02 12.31°0.98 0.21 80.66°1.488 0.24 1.47
313°0.707 0.48 -0.52 0.0130 1,941,727 44.176 0.51 710.53 12.81°0.98 0.22 80.93°1.489 0.23 1.47
313.93°0.703 0.49 -0.51 0.0120 1,799,630 44.320 0.47 711.00 13.27°0.97 0.23 81.18°1.489 0.23 1.47
314°0.703 0.49 -0.51 0.0129 1,927,322 44.330 0.50 711.03 13.31°0.97 0.23 81.19°1.489 0.23 1.47
315°0.699 0.49 -0.49 0.0128 1,913,324 44.481 0.50 711.53 13.80°0.97 0.24 81.46°1.490 0.22 1.47
315.95°0.696 0.50 -0.48 0.0121 1,807,593 44.622 0.47 712.00 14.26°0.97 0.25 81.70°1.490 0.22 1.47
316°0.696 0.50 -0.48 0.0127 1,899,725 44.629 0.49 712.02 14.28°0.97 0.25 81.71°1.490 0.21 1.47
317°0.692 0.51 -0.47 0.0126 1,886,519 44.774 0.49 712.51 14.76°0.97 0.25 81.97°1.491 0.21 1.48
318°0.689 0.51 -0.46 0.0125 1,873,699 44.916 0.48 712.99 15.24°0.96 0.26 82.22°1.492 0.20 1.48
318.01°0.689 0.51 -0.46 0.0001 21,672 44.918 0.01 713.00 15.24°0.96 0.26 82.22°1.492 0.20 1.48
319°0.685 0.52 -0.45 0.0124 1,861,260 45.055 0.48 713.47 15.71°0.96 0.27 82.47°1.492 0.20 1.48
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
320°0.682 0.52 -0.44 0.0124 1,849,194 45.191 0.47 713.95 16.18°0.96 0.28 82.72°1.493 0.19 1.48
320.11°0.682 0.52 -0.44 0.0014 211,281 45.206 0.05 714.00 16.23°0.96 0.28 82.75°1.493 0.19 1.48
321°0.679 0.53 -0.43 0.0123 1,837,497 45.323 0.47 714.42 16.64°0.96 0.29 82.97°1.493 0.18 1.48
322°0.676 0.53 -0.42 0.0122 1,826,161 45.452 0.47 714.88 17.10°0.96 0.29 83.21°1.494 0.18 1.48
322.26°0.675 0.53 -0.41 0.0032 471,806 45.485 0.12 715.00 17.22°0.96 0.30 83.27°1.494 0.18 1.48
323°0.673 0.54 -0.41 0.0121 1,815,182 45.578 0.46 715.34 17.55°0.95 0.30 83.45°1.495 0.17 1.48
324°0.670 0.54 -0.39 0.0121 1,804,555 45.701 0.46 715.80 18.00°0.95 0.31 83.69°1.495 0.16 1.49
324.44°0.669 0.54 -0.39 0.0053 799,294 45.754 0.20 716.00 18.20°0.95 0.31 83.80°1.495 0.16 1.49
325°0.667 0.55 -0.38 0.0120 1,794,273 45.820 0.45 716.25 18.45°0.95 0.32 83.93°1.496 0.16 1.49
326°0.665 0.55 -0.37 0.0119 1,784,332 45.937 0.45 716.70 18.89°0.95 0.32 84.16°1.496 0.15 1.49
326.67°0.663 0.55 -0.36 0.0080 1,189,797 46.013 0.30 717.00 19.19°0.94 0.33 84.32°1.497 0.15 1.49
327°0.662 0.56 -0.36 0.0119 1,774,728 46.050 0.45 717.15 19.33°0.94 0.33 84.40°1.497 0.15 1.49
328°0.660 0.56 -0.35 0.0118 1,765,454 46.159 0.44 717.59 19.77°0.94 0.34 84.63°1.497 0.14 1.49
328.93°0.657 0.56 -0.34 0.0110 1,639,397 46.259 0.41 718.00 20.17°0.94 0.34 84.84°1.498 0.13 1.49
329°0.657 0.56 -0.34 0.0117 1,756,507 46.266 0.44 718.03 20.20°0.94 0.35 84.86°1.498 0.13 1.49
330°0.655 0.57 -0.33 0.0117 1,747,883 46.369 0.44 718.47 20.63°0.94 0.35 85.09°1.498 0.13 1.49
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
331°0.653 0.57 -0.32 0.0116 1,739,577 46.469 0.43 718.90 21.06°0.93 0.36 85.32°1.499 0.12 1.49
331.23°0.652 0.57 -0.31 0.0027 407,353 46.492 0.10 719.00 21.16°0.93 0.36 85.37°1.499 0.12 1.49
332°0.651 0.57 -0.31 0.0116 1,731,585 46.566 0.43 719.33 21.48°0.93 0.37 85.54°1.500 0.12 1.49
333°0.649 0.58 -0.29 0.0115 1,723,903 46.659 0.43 719.76 21.90°0.93 0.37 85.77°1.500 0.11 1.50
333.57°0.647 0.58 -0.29 0.0066 982,613 46.711 0.24 720.00 22.14°0.93 0.38 85.89°1.500 0.11 1.50
334°0.647 0.58 -0.28 0.0115 1,716,527 46.749 0.42 720.18 22.32°0.93 0.38 85.99°1.501 0.10 1.50
335°0.645 0.58 -0.27 0.0114 1,709,455 46.836 0.42 720.60 22.74°0.92 0.39 86.21°1.501 0.10 1.50
335.94°0.643 0.59 -0.26 0.0107 1,604,008 46.914 0.40 721.00 23.13°0.92 0.39 86.42°1.502 0.09 1.50
336°0.643 0.59 -0.26 0.0114 1,702,681 46.919 0.42 721.02 23.15°0.92 0.39 86.43°1.502 0.09 1.50
337°0.641 0.59 -0.25 0.0113 1,696,204 46.999 0.42 721.44 23.56°0.92 0.40 86.65°1.502 0.09 1.50
338°0.639 0.59 -0.24 0.0113 1,690,020 47.076 0.42 721.86 23.97°0.91 0.41 86.87°1.503 0.08 1.50
338.34°0.639 0.59 -0.24 0.0039 580,707 47.101 0.14 722.00 24.11°0.91 0.41 86.94°1.503 0.08 1.50
339°0.638 0.60 -0.23 0.0113 1,684,126 47.149 0.41 722.27 24.38°0.91 0.41 87.08°1.503 0.08 1.50
340°0.636 0.60 -0.22 0.0112 1,678,518 47.219 0.41 722.68 24.79°0.91 0.42 87.30°1.504 0.07 1.50
νC RC X C YC ΔdC V ΔtC TC νE X E YE νM RM X M YM
Deg AU AU AU AU km km/sec days days Deg AU AU Deg AU AU AU
340.78°0.635 0.60 -0.21 0.0087 1,297,745 47.271 0.32 723.00 25.10°0.91 0.42 87.46°1.504 0.07 1.50
341°0.635 0.60 -0.21 0.0112 1,673,195 47.285 0.41 723.09 25.19°0.90 0.43 87.51°1.504 0.07 1.50
342°0.633 0.60 -0.20 0.0112 1,668,154 47.348 0.41 723.50 25.59°0.90 0.43 87.73°1.505 0.06 1.50
343°0.632 0.60 -0.18 0.0111 1,663,393 47.408 0.41 723.91 25.99°0.90 0.44 87.94°1.505 0.05 1.50
343.23°0.632 0.61 -0.18 0.0026 386,385 47.422 0.09 724.00 26.09°0.90 0.44 87.99°1.505 0.05 1.50
344°0.631 0.61 -0.17 0.0111 1,658,908 47.465 0.40 724.31 26.39°0.90 0.44 88.15°1.506 0.05 1.51
345°0.630 0.61 -0.16 0.0111 1,654,698 47.518 0.40 724.71 26.79°0.89 0.45 88.36°1.506 0.04 1.51
345.71°0.629 0.61 -0.16 0.0079 1,178,101 47.553 0.29 725.00 27.07°0.89 0.46 88.51°1.507 0.04 1.51
346°0.629 0.61 -0.15 0.0110 1,650,761 47.567 0.40 725.12 27.18°0.89 0.46 88.57°1.507 0.04 1.51
347°0.628 0.61 -0.14 0.0110 1,647,095 47.613 0.40 725.52 27.58°0.89 0.46 88.78°1.507 0.03 1.51
348°0.627 0.61 -0.13 0.0110 1,643,698 47.656 0.40 725.91 27.97°0.88 0.47 88.99°1.508 0.03 1.51
348.21°0.627 0.61 -0.13 0.0024 351,831 47.665 0.09 726.00 28.06°0.88 0.47 89.04°1.508 0.03 1.51
349°0.626 0.61 -0.12 0.0110 1,640,569 47.696 0.40 726.31 28.36°0.88 0.48 89.20°1.508 0.02 1.51
350°0.625 0.62 -0.11 0.0109 1,637,706 47.732 0.40 726.71 28.76°0.88 0.48 89.41°1.509 0.02 1.51
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
350.73°0.625 0.62 -0.10 0.0080 1,197,391 47.756 0.29 727.00 29.04°0.87 0.49 89.56°1.509 0.01 1.51
351°0.625 0.62 -0.10 0.0109 1,635,107 47.764 0.40 727.11 29.15°0.87 0.49 89.62°1.509 0.01 1.51
352°0.624 0.62 -0.09 0.0109 1,632,772 47.793 0.40 727.50 29.54°0.87 0.49 89.82°1.510 0.00 1.51
353°0.624 0.62 -0.08 0.0109 1,630,699 47.819 0.39 727.90 29.93°0.87 0.50 90.03°1.510 0.00 1.51
353.26°0.623 0.62 -0.07 0.0029 429,112 47.825 0.10 728.00 30.03°0.87 0.50 90.09°1.511 0.00 1.51
354°0.623 0.62 -0.07 0.0109 1,628,887 47.841 0.39 728.29 30.31°0.86 0.50 90.24°1.511 -0.01 1.51
355°0.623 0.62 -0.05 0.0109 1,627,336 47.860 0.39 728.68 30.70°0.86 0.51 90.44°1.512 -0.01 1.51
355.80°0.622 0.62 -0.05 0.0087 1,307,874 47.873 0.32 729.00 31.01°0.86 0.52 90.61°1.512 -0.02 1.51
356°0.622 0.62 -0.04 0.0109 1,626,044 47.876 0.39 729.08 31.09°0.86 0.52 90.65°1.512 -0.02 1.51
357°0.622 0.62 -0.03 0.0109 1,625,012 47.888 0.39 729.47 31.48°0.85 0.52 90.86°1.513 -0.02 1.51
358°0.622 0.62 -0.02 0.0109 1,624,238 47.896 0.39 729.86 31.86°0.85 0.53 91.06°1.513 -0.03 1.51
358.35°0.622 0.62 -0.02 0.0038 570,394 47.898 0.14 730.00 32.00°0.85 0.53 91.13°1.513 -0.03 1.51
359°0.622 0.62 -0.01 0.0109 1,623,722 47.901 0.39 730.25 32.25°0.85 0.53 91.27°1.514 -0.03 1.51
360°0.622 0.62 0.00 0.0109 1,623,464 47.903 0.39 730.65 32.64°0.84 0.54 91.47°1.514 -0.04 1.51
Rνℓc
1+ec×cos(ν)
Rνcos(ν) Rνsin(ν)
Δd=√((ΔX)2+(ΔY)2)
See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See RMRMcos(νM) RMsin(νM)
For this example of a resonant cycler, let T, orbital period, equal 2.0 years ( ≈ 730.5 days)
Thus, a, semimajor axis, = T2/3 = 1.587 AU
An orbit's semi latis rectum, ℓC, is distance from focus (i.e. Sol) to cycler at ν = 90°.
In this case, let ℓC = 1.0 AU =149,597,870.7 km  (deliberately chosen to be same distance as from Sol to Terra).
Then, b, semiminor axis, = √(a×ℓC) = √(1.587AU×1.0AU) = 1.26 AU
Then, c, focus, = √(a2-b2) = .965 AU.
Then, e, eccentricity, = c/a = .608
μSol, Solar standard gravitational parameter, = 132,712,440,018 km3s−2
Rν= (ℓc
1 + ec×cos(ν)		 )
Δd=
√((ΔX)2+(ΔY)2)
=√((X2-X1)2+(Y2-Y1)2)
Vν=√(2μSol
Rν		-μSol
aC		)
t=Δd
Vν		×day
86,400 sec
NOTE:  For convenience, Table assumes zero inclination (i) between orbits of Earth, Mars and notional Cycler.  Thus, computed positions of Earth and Mars are approximate.

posted by JimODell at 3:27 AM

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