Monday, January 29, 2007

TWO YEAR CYCLER TABLE




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, C, is distance from focus (i.e. Sol) to cycler at ν = 90°.  For following table, let be 1.0 AU.
Cycler
Angle
Radius Coordinates Incr. Dist Velocity 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
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
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
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
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
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
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
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
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
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
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
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
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
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
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
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
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
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
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
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
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
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
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
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
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
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
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
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
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
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
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
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
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
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (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
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
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
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
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
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
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
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
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
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
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
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
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
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
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
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
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
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
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
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
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
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
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
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
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
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
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
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
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
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
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
96 °1.068 -0.11 1.06 0.0220 3,296,351 33.205 1.15 57.10 96.44 °-0.11 0.99 98.52 °1.532 -0.23 1.51
97 °1.080 -0.13 1.07 0.0223 3,343,011 32.922 1.18 58.27 97.60 °-0.13 0.99 99.14 °1.533 -0.24 1.51
98 °1.092 -0.15 1.08 0.0227 3,390,610 32.637 1.20 59.48 98.78 °-0.15 0.99 99.77 °1.535 -0.26 1.51
99 °1.105 -0.17 1.09 0.0230 3,439,154 32.351 1.23 60.71 99.99 °-0.17 0.98 100.41 °1.536 -0.28 1.51
100 °1.118 -0.19 1.10 0.0233 3,488,649 32.062 1.26 61.97 101.24 °-0.19 0.98 101.07 °1.538 -0.30 1.51
101 °1.131 -0.22 1.11 0.0237 3,539,099 31.772 1.29 63.26 102.51 °-0.22 0.98 101.75 °1.540 -0.31 1.51
102 °1.145 -0.24 1.12 0.0240 3,590,508 31.480 1.32 64.58 103.81 °-0.24 0.97 102.44 °1.541 -0.33 1.51
103 °1.159 -0.26 1.13 0.0244 3,642,878 31.187 1.35 65.93 105.14 °-0.26 0.97 103.15 °1.543 -0.35 1.50
104 °1.173 -0.28 1.14 0.0247 3,696,209 30.892 1.38 67.31 106.50 °-0.28 0.96 103.87 °1.545 -0.37 1.50
105 °1.187 -0.31 1.15 0.0251 3,750,499 30.595 1.42 68.73 107.90 °-0.31 0.95 104.62 °1.547 -0.39 1.50
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
106 °1.201 -0.33 1.15 0.0254 3,805,747 30.297 1.45 70.18 109.34 °-0.33 0.94 105.38 °1.549 -0.41 1.49
107 °1.216 -0.36 1.16 0.0258 3,861,947 29.997 1.49 71.67 110.80 °-0.36 0.93 106.16 °1.551 -0.43 1.49
108 °1.231 -0.38 1.17 0.0262 3,919,093 29.696 1.53 73.20 112.31 °-0.38 0.93 106.96 °1.553 -0.45 1.49
109 °1.247 -0.41 1.18 0.0266 3,977,175 29.394 1.57 74.77 113.85 °-0.40 0.91 107.78 °1.555 -0.47 1.48
110 °1.263 -0.43 1.19 0.0270 4,036,182 29.091 1.61 76.37 115.44 °-0.43 0.90 108.62 °1.557 -0.50 1.48
111 °1.279 -0.46 1.19 0.0274 4,096,100 28.786 1.65 78.02 117.06 °-0.45 0.89 109.49 °1.559 -0.52 1.47
112 °1.295 -0.49 1.20 0.0278 4,156,912 28.480 1.69 79.71 118.72 °-0.48 0.88 110.37 °1.561 -0.54 1.46
113 °1.312 -0.51 1.21 0.0282 4,218,599 28.172 1.73 81.44 120.43 °-0.51 0.86 111.28 °1.563 -0.57 1.46
114 °1.329 -0.54 1.21 0.0286 4,281,139 27.864 1.78 83.22 122.19 °-0.53 0.85 112.21 °1.566 -0.59 1.45
115 °1.346 -0.57 1.22 0.0290 4,344,504 27.555 1.82 85.05 123.98 °-0.56 0.83 113.17 °1.568 -0.62 1.44
116 °1.364 -0.60 1.23 0.0295 4,408,665 27.245 1.87 86.92 125.83 °-0.59 0.81 114.15 °1.570 -0.64 1.43
117 °1.382 -0.63 1.23 0.0299 4,473,589 26.933 1.92 88.84 127.72 °-0.61 0.79 115.16 °1.573 -0.67 1.42
118 °1.400 -0.66 1.24 0.0303 4,539,239 26.621 1.97 90.82 129.67 °-0.64 0.77 116.19 °1.575 -0.70 1.41
119 °1.418 -0.69 1.24 0.0308 4,605,572 26.309 2.03 92.84 131.67 °-0.66 0.75 117.25 °1.578 -0.72 1.40
120 °1.437 -0.72 1.24 0.0312 4,672,543 25.995 2.08 94.92 133.72 °-0.69 0.72 118.34 °1.580 -0.75 1.39
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
121 °1.456 -0.75 1.25 0.0317 4,740,102 25.681 2.14 97.06 135.82 °-0.72 0.70 119.46 °1.583 -0.78 1.38
122 °1.476 -0.78 1.25 0.0321 4,808,194 25.367 2.19 99.25 137.99 °-0.74 0.67 120.61 °1.586 -0.81 1.36
123 °1.495 -0.81 1.25 0.0326 4,876,757 25.051 2.25 101.51 140.21 °-0.77 0.64 121.79 °1.589 -0.84 1.35
124 °1.516 -0.85 1.26 0.0331 4,945,726 24.736 2.31 103.82 142.49 °-0.79 0.61 123.00 °1.591 -0.87 1.33
125 °1.536 -0.88 1.26 0.0335 5,015,031 24.420 2.38 106.20 144.83 °-0.82 0.58 124.25 °1.594 -0.90 1.32
126 °1.557 -0.91 1.26 0.0340 5,084,595 24.104 2.44 108.64 147.24 °-0.84 0.54 125.53 °1.597 -0.93 1.30
127 °1.578 -0.95 1.26 0.0345 5,154,337 23.788 2.51 111.15 149.71 °-0.86 0.50 126.84 °1.600 -0.96 1.28
128 °1.599 -0.98 1.26 0.0349 5,224,168 23.472 2.58 113.72 152.25 °-0.88 0.47 128.19 °1.603 -0.99 1.26
129 °1.620 -1.02 1.26 0.0354 5,293,995 23.156 2.65 116.37 154.86 °-0.91 0.42 129.58 °1.606 -1.02 1.24
130 °1.642 -1.06 1.26 0.0359 5,363,718 22.839 2.72 119.09 157.53 °-0.92 0.38 131.00 °1.609 -1.06 1.21
131 °1.664 -1.09 1.26 0.0363 5,433,233 22.524 2.79 121.88 160.29 °-0.94 0.34 132.47 °1.612 -1.09 1.19
132 °1.686 -1.13 1.25 0.0368 5,502,428 22.208 2.87 124.75 163.11 °-0.96 0.29 133.97 °1.615 -1.12 1.16
133 °1.709 -1.17 1.25 0.0372 5,571,186 21.893 2.95 127.69 166.02 °-0.97 0.24 135.51 °1.618 -1.15 1.13
134 °1.732 -1.20 1.25 0.0377 5,639,386 21.579 3.02 130.72 169.00 °-0.98 0.19 137.10 °1.621 -1.19 1.10
135 °1.755 -1.24 1.24 0.0381 5,706,899 21.266 3.11 133.82 172.06 °-0.99 0.14 138.73 °1.624 -1.22 1.07
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
136 °1.778 -1.28 1.24 0.0386 5,773,592 20.953 3.19 137.01 175.20 °-1.00 0.08 140.40 °1.627 -1.25 1.04
137 °1.801 -1.32 1.23 0.0390 5,839,329 20.641 3.27 140.29 178.43 °-1.00 0.03 142.11 °1.630 -1.29 1.00
138 °1.825 -1.36 1.22 0.0395 5,903,968 20.330 3.36 143.65 181.74 °-1.00 -0.03 143.87 °1.634 -1.32 0.96
139 °1.849 -1.40 1.21 0.0399 5,967,364 20.021 3.45 147.10 185.14 °-1.00 -0.09 145.68 °1.637 -1.35 0.92
140 °1.873 -1.43 1.20 0.0403 6,029,369 19.713 3.54 150.64 188.63 °-0.99 -0.15 147.54 °1.639 -1.38 0.88
141 °1.897 -1.47 1.19 0.0407 6,089,832 19.407 3.63 154.27 192.21 °-0.98 -0.21 149.44 °1.642 -1.41 0.84
142 °1.921 -1.51 1.18 0.0411 6,148,603 19.102 3.73 157.99 195.88 °-0.96 -0.27 151.39 °1.645 -1.44 0.79
143 °1.945 -1.55 1.17 0.0415 6,205,529 18.800 3.82 161.81 199.65 °-0.94 -0.34 153.39 °1.648 -1.47 0.74
144 °1.969 -1.59 1.16 0.0418 6,260,460 18.500 3.92 165.73 203.51 °-0.92 -0.40 155.45 °1.651 -1.50 0.69
145 °1.993 -1.63 1.14 0.0422 6,313,247 18.201 4.01 169.74 207.46 °-0.89 -0.46 157.55 °1.653 -1.53 0.63
146 °2.017 -1.67 1.13 0.0425 6,363,746 17.906 4.11 173.86 211.52 °-0.85 -0.52 159.71 °1.655 -1.55 0.57
147 °2.042 -1.71 1.11 0.0429 6,411,816 17.613 4.21 178.07 215.67 °-0.81 -0.58 161.91 °1.657 -1.58 0.51
148 °2.066 -1.75 1.09 0.0432 6,457,323 17.324 4.31 182.39 219.92 °-0.77 -0.64 164.17 °1.659 -1.60 0.45
149 °2.090 -1.79 1.08 0.0435 6,500,142 17.037 4.42 186.80 224.28 °-0.72 -0.70 166.49 °1.661 -1.62 0.39
150 °2.113 -1.83 1.06 0.0437 6,540,159 16.754 4.52 191.32 228.73 °-0.66 -0.75 168.86 °1.663 -1.63 0.32
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
151 °2.137 -1.87 1.04 0.0440 6,577,270 16.475 4.62 195.94 233.28 °-0.60 -0.80 171.28 °1.664 -1.64 0.25
152 °2.160 -1.91 1.01 0.0442 6,611,386 16.200 4.72 200.66 237.94 °-0.53 -0.85 173.75 °1.665 -1.65 0.18
153 °2.183 -1.95 0.99 0.0444 6,642,434 15.929 4.83 205.49 242.70 °-0.46 -0.89 176.28 °1.666 -1.66 0.11
154 °2.206 -1.98 0.97 0.0446 6,670,358 15.663 4.93 210.42 247.55 °-0.38 -0.92 178.86 °1.666 -1.67 0.03
155 °2.229 -2.02 0.94 0.0448 6,695,123 15.402 5.03 215.45 252.51 °-0.30 -0.95 181.50 °1.666 -1.67 -0.04
156 °2.251 -2.06 0.92 0.0449 6,716,714 15.146 5.13 220.58 257.57 °-0.22 -0.98 184.19 °1.665 -1.66 -0.12
157 °2.272 -2.09 0.89 0.0450 6,735,142 14.896 5.23 225.82 262.73 °-0.13 -0.99 186.93 °1.665 -1.65 -0.20
158 °2.294 -2.13 0.86 0.0451 6,750,440 14.652 5.33 231.15 267.99 °-0.04 -1.00 189.73 °1.663 -1.64 -0.28
159 °2.314 -2.16 0.83 0.0452 6,762,669 14.415 5.43 236.58 273.34 °0.06 -1.00 192.57 °1.662 -1.62 -0.36
160 °2.334 -2.19 0.80 0.0453 6,771,917 14.184 5.53 242.10 278.78 °0.15 -0.99 195.47 °1.660 -1.60 -0.44
161 °2.354 -2.23 0.77 0.0453 6,778,299 13.961 5.62 247.72 284.32 °0.25 -0.97 198.41 °1.657 -1.57 -0.52
162 °2.373 -2.26 0.73 0.0453 6,781,959 13.745 5.71 253.43 289.95 °0.34 -0.94 201.41 °1.654 -1.54 -0.60
163 °2.391 -2.29 0.70 0.0453 6,783,068 13.538 5.80 259.23 295.67 °0.43 -0.90 204.44 °1.651 -1.50 -0.68
164 °2.408 -2.31 0.66 0.0453 6,781,827 13.338 5.88 265.12 301.47 °0.52 -0.85 207.53 °1.647 -1.46 -0.76
165 °2.425 -2.34 0.63 0.0453 6,778,459 13.148 5.97 271.08 307.35 °0.61 -0.79 210.65 °1.642 -1.41 -0.84
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
166 °2.440 -2.37 0.59 0.0453 6,773,214 12.968 6.05 277.13 313.31 °0.69 -0.73 213.82 °1.637 -1.36 -0.91
167 °2.455 -2.39 0.55 0.0452 6,766,362 12.797 6.12 283.25 319.34 °0.76 -0.65 217.03 °1.632 -1.30 -0.98
168 °2.469 -2.42 0.51 0.0452 6,758,192 12.637 6.19 289.44 325.44 °0.82 -0.57 220.27 °1.626 -1.24 -1.05
169 °2.482 -2.44 0.47 0.0451 6,749,006 12.487 6.26 295.69 331.60 °0.88 -0.48 223.55 °1.620 -1.17 -1.12
170 °2.494 -2.46 0.43 0.0450 6,739,115 12.349 6.32 302.01 337.83 °0.93 -0.38 226.86 °1.613 -1.10 -1.18
171 °2.505 -2.47 0.39 0.0450 6,728,836 12.223 6.37 308.38 344.11 °0.96 -0.27 230.20 °1.606 -1.03 -1.23
172 °2.515 -2.49 0.35 0.0449 6,718,484 12.108 6.42 314.80 350.44 °0.99 -0.17 233.56 °1.599 -0.95 -1.29
173 °2.524 -2.51 0.31 0.0448 6,708,367 12.006 6.47 321.27 356.81 °1.00 -0.06 236.95 °1.591 -0.87 -1.33
174 °2.531 -2.52 0.26 0.0448 6,698,780 11.917 6.51 327.78 3.23 °1.00 0.06 240.36 °1.583 -0.78 -1.38
175 °2.538 -2.53 0.22 0.0447 6,689,996 11.841 6.54 334.32 9.67 °0.99 0.17 243.79 °1.575 -0.70 -1.41
176 °2.543 -2.54 0.18 0.0447 6,682,265 11.779 6.57 340.88 16.14 °0.96 0.28 247.23 °1.567 -0.61 -1.44
177 °2.548 -2.54 0.13 0.0446 6,675,804 11.730 6.59 347.47 22.64 °0.92 0.38 250.68 °1.559 -0.52 -1.47
178 °2.551 -2.55 0.09 0.0446 6,670,793 11.695 6.60 354.07 29.14 °0.87 0.49 254.14 °1.550 -0.42 -1.49
179 °2.552 -2.55 0.04 0.0446 6,667,374 11.673 6.61 360.68 35.66 °0.81 0.58 257.61 °1.541 -0.33 -1.51
180 °2.553 -2.55 0.00 0.0446 6,665,640 11.666 6.61 367.30 42.18 °0.74 0.67 261.07 °1.533 -0.24 -1.51
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
181 °2.552 -2.55 -0.04 0.0446 6,665,640 11.673 6.61 373.90 48.69 °0.66 0.75 264.53 °1.524 -0.15 -1.52
182 °2.551 -2.55 -0.09 0.0446 6,667,374 11.695 6.60 380.50 55.19 °0.57 0.82 267.99 °1.515 -0.05 -1.51
183 °2.548 -2.54 -0.13 0.0446 6,670,793 11.730 6.58 387.09 61.68 °0.47 0.88 271.44 °1.507 0.04 -1.51
184 °2.543 -2.54 -0.18 0.0446 6,675,804 11.779 6.56 393.65 68.15 °0.37 0.93 274.88 °1.499 0.13 -1.49
185 °2.538 -2.53 -0.22 0.0447 6,682,265 11.841 6.53 400.18 74.59 °0.27 0.96 278.30 °1.490 0.22 -1.47
186 °2.531 -2.52 -0.26 0.0447 6,689,996 11.917 6.50 406.67 80.99 °0.16 0.99 281.71 °1.482 0.30 -1.45
187 °2.524 -2.51 -0.31 0.0448 6,698,780 12.006 6.46 413.13 87.35 °0.05 1.00 285.09 °1.475 0.38 -1.42
188 °2.515 -2.49 -0.35 0.0448 6,708,367 12.108 6.41 419.54 93.67 °-0.06 1.00 288.45 °1.467 0.46 -1.39
189 °2.505 -2.47 -0.39 0.0449 6,718,484 12.223 6.36 425.91 99.94 °-0.17 0.98 291.78 °1.460 0.54 -1.36
190 °2.494 -2.46 -0.43 0.0450 6,728,836 12.349 6.31 432.21 106.16 °-0.28 0.96 295.09 °1.453 0.62 -1.32
191 °2.482 -2.44 -0.47 0.0450 6,739,115 12.487 6.25 438.46 112.32 °-0.38 0.93 298.36 °1.446 0.69 -1.27
192 °2.469 -2.42 -0.51 0.0451 6,749,006 12.637 6.18 444.64 118.41 °-0.48 0.88 301.60 °1.440 0.75 -1.23
193 °2.455 -2.39 -0.55 0.0452 6,758,192 12.797 6.11 450.75 124.43 °-0.57 0.82 304.80 °1.434 0.82 -1.18
194 °2.440 -2.37 -0.59 0.0452 6,766,362 12.968 6.04 456.79 130.39 °-0.65 0.76 307.97 °1.428 0.88 -1.13
195 °2.425 -2.34 -0.63 0.0453 6,773,214 13.148 5.96 462.75 136.26 °-0.72 0.69 311.09 °1.423 0.94 -1.07
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
196 °2.408 -2.31 -0.66 0.0453 6,778,459 13.338 5.88 468.64 142.06 °-0.79 0.61 314.18 °1.418 0.99 -1.02
197 °2.391 -2.29 -0.70 0.0453 6,781,827 13.538 5.80 474.43 147.78 °-0.85 0.53 317.21 °1.414 1.04 -0.96
198 °2.373 -2.26 -0.73 0.0453 6,783,068 13.745 5.71 480.15 153.40 °-0.89 0.45 320.21 °1.409 1.08 -0.90
199 °2.354 -2.23 -0.77 0.0453 6,781,959 13.961 5.62 485.77 158.95 °-0.93 0.36 323.15 °1.405 1.12 -0.84
200 °2.334 -2.19 -0.80 0.0453 6,778,299 14.184 5.53 491.30 164.40 °-0.96 0.27 326.05 °1.402 1.16 -0.78
201 °2.314 -2.16 -0.83 0.0453 6,771,917 14.415 5.44 496.74 169.76 °-0.98 0.18 328.90 °1.399 1.20 -0.72
202 °2.294 -2.13 -0.86 0.0452 6,762,669 14.652 5.34 502.08 175.02 °-1.00 0.09 331.70 °1.396 1.23 -0.66
203 °2.272 -2.09 -0.89 0.0451 6,750,440 14.896 5.24 507.32 180.19 °-1.00 0.00 334.45 °1.393 1.26 -0.60
204 °2.251 -2.06 -0.92 0.0450 6,735,142 15.146 5.15 512.47 185.26 °-1.00 -0.09 337.14 °1.391 1.28 -0.54
205 °2.229 -2.02 -0.94 0.0449 6,716,714 15.402 5.05 517.52 190.24 °-0.98 -0.18 339.79 °1.389 1.30 -0.48
206 °2.206 -1.98 -0.97 0.0448 6,695,123 15.663 4.95 522.46 195.12 °-0.97 -0.26 342.38 °1.387 1.32 -0.42
207 °2.183 -1.95 -0.99 0.0446 6,670,358 15.929 4.85 527.31 199.89 °-0.94 -0.34 344.92 °1.386 1.34 -0.36
208 °2.160 -1.91 -1.01 0.0444 6,642,434 16.200 4.75 532.06 204.57 °-0.91 -0.42 347.41 °1.384 1.35 -0.30
209 °2.137 -1.87 -1.04 0.0442 6,611,386 16.475 4.64 536.70 209.15 °-0.87 -0.49 349.84 °1.383 1.36 -0.24
210 °2.113 -1.83 -1.06 0.0440 6,577,270 16.754 4.54 541.25 213.63 °-0.83 -0.55 352.22 °1.383 1.37 -0.19
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
211 °2.090 -1.79 -1.08 0.0437 6,540,159 17.037 4.44 545.69 218.00 °-0.79 -0.62 354.55 °1.382 1.38 -0.13
212 °2.066 -1.75 -1.09 0.0435 6,500,142 17.324 4.34 550.03 222.29 °-0.74 -0.67 356.83 °1.382 1.38 -0.08
213 °2.042 -1.71 -1.11 0.0432 6,457,323 17.613 4.24 554.27 226.47 °-0.69 -0.72 359.05 °1.382 1.38 -0.02
214 °2.017 -1.67 -1.13 0.0429 6,411,816 17.906 4.14 558.42 230.55 °-0.64 -0.77 1.22 °1.382 1.38 0.03
215 °1.993 -1.63 -1.14 0.0425 6,363,746 18.201 4.05 562.47 234.54 °-0.58 -0.81 3.34 °1.382 1.38 0.08
216 °1.969 -1.59 -1.16 0.0422 6,313,247 18.500 3.95 566.42 238.43 °-0.52 -0.85 5.41 °1.382 1.38 0.13
217 °1.945 -1.55 -1.17 0.0418 6,260,460 18.800 3.85 570.27 242.23 °-0.47 -0.88 7.43 °1.382 1.37 0.18
218 °1.921 -1.51 -1.18 0.0415 6,205,529 19.102 3.76 574.03 245.94 °-0.41 -0.91 9.40 °1.383 1.36 0.23
219 °1.897 -1.47 -1.19 0.0411 6,148,603 19.407 3.67 577.70 249.55 °-0.35 -0.94 11.32 °1.384 1.36 0.27
220 °1.873 -1.43 -1.20 0.0407 6,089,832 19.713 3.58 581.27 253.08 °-0.29 -0.96 13.20 °1.385 1.35 0.32
221 °1.849 -1.40 -1.21 0.0403 6,029,369 20.021 3.49 584.76 256.51 °-0.23 -0.97 15.02 °1.386 1.34 0.36
222 °1.825 -1.36 -1.22 0.0399 5,967,364 20.330 3.40 588.15 259.86 °-0.18 -0.98 16.80 °1.387 1.33 0.40
223 °1.801 -1.32 -1.23 0.0395 5,903,968 20.641 3.31 591.47 263.12 °-0.12 -0.99 18.54 °1.388 1.32 0.44
224 °1.778 -1.28 -1.24 0.0390 5,839,329 20.953 3.23 594.69 266.30 °-0.06 -1.00 20.23 °1.389 1.30 0.48
225 °1.755 -1.24 -1.24 0.0386 5,773,592 21.266 3.14 597.83 269.40 °-0.01 -1.00 21.88 °1.390 1.29 0.52
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
226 °1.732 -1.20 -1.25 0.0381 5,706,899 21.579 3.06 600.89 272.42 °0.04 -1.00 23.48 °1.391 1.28 0.55
227 °1.709 -1.17 -1.25 0.0377 5,639,386 21.893 2.98 603.88 275.36 °0.09 -1.00 25.04 °1.393 1.26 0.59
228 °1.686 -1.13 -1.25 0.0372 5,571,186 22.208 2.90 606.78 278.22 °0.14 -0.99 26.56 °1.394 1.25 0.62
229 °1.664 -1.09 -1.26 0.0368 5,502,428 22.524 2.83 609.61 281.00 °0.19 -0.98 28.05 °1.395 1.23 0.66
230 °1.642 -1.06 -1.26 0.0363 5,433,233 22.839 2.75 612.36 283.72 °0.24 -0.97 29.49 °1.397 1.22 0.69
231 °1.620 -1.02 -1.26 0.0359 5,363,718 23.156 2.68 615.04 286.36 °0.28 -0.96 30.89 °1.398 1.20 0.72
232 °1.599 -0.98 -1.26 0.0354 5,293,995 23.472 2.61 617.65 288.93 °0.32 -0.95 32.26 °1.400 1.18 0.75
233 °1.578 -0.95 -1.26 0.0349 5,224,168 23.788 2.54 620.19 291.44 °0.37 -0.93 33.59 °1.401 1.17 0.78
234 °1.557 -0.91 -1.26 0.0345 5,154,337 24.104 2.47 622.67 293.88 °0.40 -0.91 34.89 °1.403 1.15 0.80
235 °1.536 -0.88 -1.26 0.0340 5,084,595 24.420 2.41 625.08 296.25 °0.44 -0.90 36.15 °1.405 1.13 0.83
236 °1.516 -0.85 -1.26 0.0335 5,015,031 24.736 2.35 627.42 298.57 °0.48 -0.88 37.38 °1.406 1.12 0.85
237 °1.495 -0.81 -1.25 0.0331 4,945,726 25.051 2.28 629.71 300.82 °0.51 -0.86 38.58 °1.408 1.10 0.88
238 °1.476 -0.78 -1.25 0.0326 4,876,757 25.367 2.23 631.93 303.01 °0.54 -0.84 39.75 °1.409 1.08 0.90
239 °1.456 -0.75 -1.25 0.0321 4,808,194 25.681 2.17 634.10 305.15 °0.58 -0.82 40.88 °1.411 1.07 0.92
240 °1.437 -0.72 -1.24 0.0317 4,740,102 25.995 2.11 636.21 307.23 °0.60 -0.80 41.99 °1.412 1.05 0.94
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
241 °1.418 -0.69 -1.24 0.0312 4,672,543 26.309 2.06 638.27 309.25 °0.63 -0.77 43.06 °1.414 1.03 0.97
242 °1.400 -0.66 -1.24 0.0308 4,605,572 26.621 2.00 640.27 311.23 °0.66 -0.75 44.11 °1.416 1.02 0.99
243 °1.382 -0.63 -1.23 0.0303 4,539,239 26.933 1.95 642.22 313.15 °0.68 -0.73 45.14 °1.417 1.00 1.00
244 °1.364 -0.60 -1.23 0.0299 4,473,589 27.245 1.90 644.12 315.02 °0.71 -0.71 46.13 °1.419 0.98 1.02
245 °1.346 -0.57 -1.22 0.0295 4,408,665 27.555 1.85 645.97 316.85 °0.73 -0.68 47.10 °1.420 0.97 1.04
246 °1.329 -0.54 -1.21 0.0290 4,344,504 27.864 1.80 647.78 318.63 °0.75 -0.66 48.05 °1.422 0.95 1.06
247 °1.312 -0.51 -1.21 0.0286 4,281,139 28.172 1.76 649.54 320.36 °0.77 -0.64 48.97 °1.423 0.93 1.07
248 °1.295 -0.49 -1.20 0.0282 4,218,599 28.480 1.71 651.25 322.05 °0.79 -0.61 49.87 °1.425 0.92 1.09
249 °1.279 -0.46 -1.19 0.0278 4,156,912 28.786 1.67 652.92 323.70 °0.81 -0.59 50.74 °1.426 0.90 1.10
250 °1.263 -0.43 -1.19 0.0274 4,096,100 29.091 1.63 654.55 325.30 °0.82 -0.57 51.60 °1.428 0.89 1.12
251 °1.247 -0.41 -1.18 0.0270 4,036,182 29.394 1.59 656.14 326.87 °0.84 -0.55 52.43 °1.429 0.87 1.13
252 °1.231 -0.38 -1.17 0.0266 3,977,175 29.696 1.55 657.69 328.40 °0.85 -0.52 53.24 °1.431 0.86 1.15
253 °1.216 -0.36 -1.16 0.0262 3,919,093 29.997 1.51 659.20 329.89 °0.87 -0.50 54.04 °1.432 0.84 1.16
254 °1.201 -0.33 -1.15 0.0258 3,861,947 30.297 1.48 660.68 331.34 °0.88 -0.48 54.81 °1.433 0.83 1.17
255 °1.187 -0.31 -1.15 0.0254 3,805,747 30.595 1.44 662.12 332.76 °0.89 -0.46 55.56 °1.435 0.81 1.18
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
256 °1.173 -0.28 -1.14 0.0251 3,750,499 30.892 1.41 663.52 334.15 °0.90 -0.44 56.30 °1.436 0.80 1.19
257 °1.159 -0.26 -1.13 0.0247 3,696,209 31.187 1.37 664.90 335.50 °0.91 -0.41 57.02 °1.437 0.78 1.21
258 °1.145 -0.24 -1.12 0.0244 3,642,878 31.480 1.34 666.23 336.82 °0.92 -0.39 57.72 °1.439 0.77 1.22
259 °1.131 -0.22 -1.11 0.0240 3,590,508 31.772 1.31 667.54 338.11 °0.93 -0.37 58.41 °1.440 0.75 1.23
260 °1.118 -0.19 -1.10 0.0237 3,539,099 32.062 1.28 668.82 339.37 °0.94 -0.35 59.07 °1.441 0.74 1.24
261 °1.105 -0.17 -1.09 0.0233 3,488,649 32.351 1.25 670.07 340.60 °0.94 -0.33 59.73 °1.443 0.73 1.25
262 °1.092 -0.15 -1.08 0.0230 3,439,154 32.637 1.22 671.29 341.80 °0.95 -0.31 60.37 °1.444 0.71 1.25
263 °1.080 -0.13 -1.07 0.0227 3,390,610 32.922 1.19 672.48 342.97 °0.96 -0.29 60.99 °1.445 0.70 1.26
264 °1.068 -0.11 -1.06 0.0223 3,343,011 33.205 1.17 673.65 344.12 °0.96 -0.27 61.60 °1.446 0.69 1.27
265 °1.056 -0.09 -1.05 0.0220 3,296,351 33.486 1.14 674.78 345.25 °0.97 -0.25 62.20 °1.447 0.68 1.28
266 °1.044 -0.07 -1.04 0.0217 3,250,623 33.766 1.11 675.90 346.34 °0.97 -0.24 62.78 °1.449 0.66 1.29
267 °1.033 -0.05 -1.03 0.0214 3,205,817 34.043 1.09 676.99 347.42 °0.98 -0.22 63.36 °1.450 0.65 1.30
268 °1.022 -0.04 -1.02 0.0211 3,161,925 34.318 1.07 678.06 348.47 °0.98 -0.20 63.91 °1.451 0.64 1.30
269 °1.011 -0.02 -1.01 0.0208 3,118,937 34.591 1.04 679.10 349.50 °0.98 -0.18 64.46 °1.452 0.63 1.31
270 °1.000 0.00 -1.00 0.0206 3,076,843 34.863 1.02 680.12 350.50 °0.99 -0.16 65.00 °1.453 0.61 1.32
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
271 °0.989 0.02 -0.99 0.0203 3,035,633 35.132 1.00 681.12 351.49 °0.99 -0.15 65.52 °1.454 0.60 1.32
272 °0.979 0.03 -0.98 0.0200 2,995,294 35.399 0.98 682.10 352.46 °0.99 -0.13 66.03 °1.455 0.59 1.33
273 °0.969 0.05 -0.97 0.0198 2,955,815 35.664 0.96 683.06 353.40 °0.99 -0.11 66.54 °1.456 0.58 1.34
274 °0.959 0.07 -0.96 0.0195 2,917,185 35.926 0.94 684.00 354.33 °1.00 -0.10 67.03 °1.457 0.57 1.34
275 °0.950 0.08 -0.95 0.0192 2,879,391 36.187 0.92 684.92 355.23 °1.00 -0.08 67.51 °1.458 0.56 1.35
276 °0.940 0.10 -0.94 0.0190 2,842,421 36.445 0.90 685.82 356.12 °1.00 -0.07 67.98 °1.459 0.55 1.35
277 °0.931 0.11 -0.92 0.0188 2,806,262 36.701 0.88 686.71 357.00 °1.00 -0.05 68.45 °1.460 0.54 1.36
278 °0.922 0.13 -0.91 0.0185 2,770,902 36.954 0.87 687.58 357.85 °1.00 -0.04 68.90 °1.461 0.53 1.36
279 °0.913 0.14 -0.90 0.0183 2,736,328 37.205 0.85 688.43 358.69 °1.00 -0.02 69.35 °1.462 0.52 1.37
280 °0.904 0.16 -0.89 0.0181 2,702,526 37.454 0.84 689.26 359.51 °1.00 -0.01 69.79 °1.463 0.51 1.37
281 °0.896 0.17 -0.88 0.0178 2,669,485 37.701 0.82 690.08 0.32 °1.00 0.01 70.22 °1.464 0.50 1.38
282 °0.888 0.18 -0.87 0.0176 2,637,191 37.945 0.80 690.89 1.11 °1.00 0.02 70.64 °1.465 0.49 1.38
283 °0.880 0.20 -0.86 0.0174 2,605,632 38.186 0.79 691.68 1.89 °1.00 0.03 71.05 °1.466 0.48 1.39
284 °0.872 0.21 -0.85 0.0172 2,574,794 38.425 0.78 692.45 2.66 °1.00 0.05 71.46 °1.467 0.47 1.39
285 °0.864 0.22 -0.83 0.0170 2,544,665 38.662 0.76 693.21 3.41 °1.00 0.06 71.86 °1.468 0.46 1.39
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
286 °0.856 0.24 -0.82 0.0168 2,515,231 38.896 0.75 693.96 4.15 °1.00 0.07 72.25 °1.469 0.45 1.40
287 °0.849 0.25 -0.81 0.0166 2,486,482 39.127 0.74 694.70 4.87 °1.00 0.08 72.63 °1.469 0.44 1.40
288 °0.842 0.26 -0.80 0.0164 2,458,403 39.356 0.72 695.42 5.58 °1.00 0.10 73.01 °1.470 0.43 1.41
289 °0.835 0.27 -0.79 0.0163 2,430,984 39.583 0.71 696.13 6.28 °0.99 0.11 73.39 °1.471 0.42 1.41
290 °0.828 0.28 -0.78 0.0161 2,404,211 39.806 0.70 696.83 6.97 °0.99 0.12 73.75 °1.472 0.41 1.41
291 °0.821 0.29 -0.77 0.0159 2,378,073 40.027 0.69 697.52 7.65 °0.99 0.13 74.11 °1.473 0.40 1.42
292 °0.814 0.31 -0.76 0.0157 2,352,557 40.246 0.68 698.19 8.32 °0.99 0.14 74.47 °1.474 0.39 1.42
293 °0.808 0.32 -0.74 0.0156 2,327,653 40.461 0.67 698.86 8.97 °0.99 0.16 74.82 °1.474 0.39 1.42
294 °0.802 0.33 -0.73 0.0154 2,303,348 40.674 0.66 699.51 9.62 °0.99 0.17 75.16 °1.475 0.38 1.43
295 °0.795 0.34 -0.72 0.0152 2,279,632 40.884 0.65 700.16 10.26 °0.98 0.18 75.50 °1.476 0.37 1.43
296 °0.789 0.35 -0.71 0.0151 2,256,493 41.092 0.64 700.80 10.88 °0.98 0.19 75.83 °1.477 0.36 1.43
297 °0.784 0.36 -0.70 0.0149 2,233,921 41.296 0.63 701.42 11.50 °0.98 0.20 76.16 °1.477 0.35 1.43
298 °0.778 0.37 -0.69 0.0148 2,211,904 41.498 0.62 702.04 12.11 °0.98 0.21 76.48 °1.478 0.35 1.44
299 °0.772 0.37 -0.68 0.0146 2,190,433 41.697 0.61 702.65 12.71 °0.98 0.22 76.80 °1.479 0.34 1.44
300 °0.767 0.38 -0.66 0.0145 2,169,497 41.893 0.60 703.25 13.30 °0.97 0.23 77.11 °1.480 0.33 1.44
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
301 °0.761 0.39 -0.65 0.0144 2,149,085 42.087 0.59 703.84 13.88 °0.97 0.24 77.42 °1.480 0.32 1.44
302 °0.756 0.40 -0.64 0.0142 2,129,189 42.277 0.58 704.42 14.45 °0.97 0.25 77.73 °1.481 0.31 1.45
303 °0.751 0.41 -0.63 0.0141 2,109,798 42.464 0.58 705.00 15.02 °0.97 0.26 78.03 °1.482 0.31 1.45
304 °0.746 0.42 -0.62 0.0140 2,090,904 42.649 0.57 705.56 15.58 °0.96 0.27 78.33 °1.482 0.30 1.45
305 °0.741 0.43 -0.61 0.0139 2,072,496 42.831 0.56 706.12 16.13 °0.96 0.28 78.62 °1.483 0.29 1.45
306 °0.737 0.43 -0.60 0.0137 2,054,566 43.009 0.55 706.68 16.68 °0.96 0.29 78.91 °1.484 0.29 1.46
307 °0.732 0.44 -0.58 0.0136 2,037,105 43.185 0.55 707.22 17.22 °0.96 0.30 79.20 °1.484 0.28 1.46
308 °0.728 0.45 -0.57 0.0135 2,020,105 43.358 0.54 707.76 17.75 °0.95 0.30 79.48 °1.485 0.27 1.46
309 °0.723 0.46 -0.56 0.0134 2,003,556 43.527 0.53 708.29 18.27 °0.95 0.31 79.76 °1.486 0.26 1.46
310 °0.719 0.46 -0.55 0.0133 1,987,452 43.694 0.53 708.82 18.79 °0.95 0.32 80.04 °1.486 0.26 1.46
311 °0.715 0.47 -0.54 0.0132 1,971,785 43.858 0.52 709.34 19.30 °0.94 0.33 80.31 °1.487 0.25 1.47
312 °0.711 0.48 -0.53 0.0131 1,956,545 44.018 0.51 709.85 19.81 °0.94 0.34 80.58 °1.488 0.24 1.47
313 °0.707 0.48 -0.52 0.0130 1,941,727 44.176 0.51 710.36 20.31 °0.94 0.35 80.84 °1.488 0.24 1.47
314 °0.703 0.49 -0.51 0.0129 1,927,322 44.330 0.50 710.87 20.81 °0.93 0.36 81.11 °1.489 0.23 1.47
315 °0.699 0.49 -0.49 0.0128 1,913,324 44.481 0.50 711.36 21.30 °0.93 0.36 81.37 °1.490 0.22 1.47
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
316 °0.696 0.50 -0.48 0.0127 1,899,725 44.629 0.49 711.86 21.79 °0.93 0.37 81.63 °1.490 0.22 1.47
317 °0.692 0.51 -0.47 0.0126 1,886,519 44.774 0.49 712.34 22.27 °0.93 0.38 81.88 °1.491 0.21 1.48
318 °0.689 0.51 -0.46 0.0125 1,873,699 44.916 0.48 712.83 22.74 °0.92 0.39 82.14 °1.491 0.20 1.48
319 °0.685 0.52 -0.45 0.0124 1,861,260 45.055 0.48 713.31 23.21 °0.92 0.39 82.39 °1.492 0.20 1.48
320 °0.682 0.52 -0.44 0.0124 1,849,194 45.191 0.47 713.78 23.68 °0.92 0.40 82.63 °1.493 0.19 1.48
321 °0.679 0.53 -0.43 0.0123 1,837,497 45.323 0.47 714.25 24.14 °0.91 0.41 82.88 °1.493 0.19 1.48
322 °0.676 0.53 -0.42 0.0122 1,826,161 45.452 0.47 714.71 24.60 °0.91 0.42 83.12 °1.494 0.18 1.48
323 °0.673 0.54 -0.41 0.0121 1,815,182 45.578 0.46 715.17 25.05 °0.91 0.42 83.37 °1.494 0.17 1.48
324 °0.670 0.54 -0.39 0.0121 1,804,555 45.701 0.46 715.63 25.51 °0.90 0.43 83.61 °1.495 0.17 1.49
325 °0.667 0.55 -0.38 0.0120 1,794,273 45.820 0.45 716.08 25.95 °0.90 0.44 83.84 °1.495 0.16 1.49
326 °0.665 0.55 -0.37 0.0119 1,784,332 45.937 0.45 716.53 26.40 °0.90 0.44 84.08 °1.496 0.15 1.49
327 °0.662 0.56 -0.36 0.0119 1,774,728 46.050 0.45 716.98 26.83 °0.89 0.45 84.31 °1.497 0.15 1.49
328 °0.660 0.56 -0.35 0.0118 1,765,454 46.159 0.44 717.42 27.27 °0.89 0.46 84.54 °1.497 0.14 1.49
329 °0.657 0.56 -0.34 0.0117 1,756,507 46.266 0.44 717.86 27.70 °0.89 0.46 84.77 °1.498 0.14 1.49
330 °0.655 0.57 -0.33 0.0117 1,747,883 46.369 0.44 718.30 28.13 °0.88 0.47 85.00 °1.498 0.13 1.49
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
331 °0.653 0.57 -0.32 0.0116 1,739,577 46.469 0.43 718.73 28.56 °0.88 0.48 85.23 °1.499 0.12 1.49
332 °0.651 0.57 -0.31 0.0116 1,731,585 46.566 0.43 719.16 28.99 °0.87 0.48 85.46 °1.499 0.12 1.49
333 °0.649 0.58 -0.29 0.0115 1,723,903 46.659 0.43 719.59 29.41 °0.87 0.49 85.68 °1.500 0.11 1.50
334 °0.647 0.58 -0.28 0.0115 1,716,527 46.749 0.42 720.02 29.83 °0.87 0.50 85.90 °1.500 0.11 1.50
335 °0.645 0.58 -0.27 0.0114 1,709,455 46.836 0.42 720.44 30.24 °0.86 0.50 86.12 °1.501 0.10 1.50
336 °0.643 0.59 -0.26 0.0114 1,702,681 46.919 0.42 720.86 30.66 °0.86 0.51 86.34 °1.501 0.10 1.50
337 °0.641 0.59 -0.25 0.0113 1,696,204 46.999 0.42 721.28 31.07 °0.86 0.52 86.56 °1.502 0.09 1.50
338 °0.639 0.59 -0.24 0.0113 1,690,020 47.076 0.42 721.69 31.48 °0.85 0.52 86.78 °1.503 0.08 1.50
339 °0.638 0.60 -0.23 0.0113 1,684,126 47.149 0.41 722.10 31.88 °0.85 0.53 87.00 °1.503 0.08 1.50
340 °0.636 0.60 -0.22 0.0112 1,678,518 47.219 0.41 722.52 32.29 °0.85 0.53 87.21 °1.504 0.07 1.50
341 °0.635 0.60 -0.21 0.0112 1,673,195 47.285 0.41 722.93 32.69 °0.84 0.54 87.43 °1.504 0.07 1.50
342 °0.633 0.60 -0.20 0.0112 1,668,154 47.348 0.41 723.33 33.10 °0.84 0.55 87.64 °1.505 0.06 1.50
343 °0.632 0.60 -0.18 0.0111 1,663,393 47.408 0.41 723.74 33.50 °0.83 0.55 87.85 °1.505 0.06 1.50
344 °0.631 0.61 -0.17 0.0111 1,658,908 47.465 0.40 724.14 33.90 °0.83 0.56 88.07 °1.506 0.05 1.50
345 °0.630 0.61 -0.16 0.0111 1,654,698 47.518 0.40 724.55 34.29 °0.83 0.56 88.28 °1.506 0.05 1.51
ν R(AU) X (AU) Y (AU) Δd(AU) Δd(km) V(km/s) t(dy) Σt(dy) νE X (AU) Y (AU) ν R(AU) X (AU) Y (AU)
346 °0.629 0.61 -0.15 0.0110 1,650,761 47.567 0.40 724.95 34.69 °0.82 0.57 88.49 °1.507 0.04 1.51
347 °0.628 0.61 -0.14 0.0110 1,647,095 47.613 0.40 725.35 35.08 °0.82 0.57 88.70 °1.507 0.03 1.51
348 °0.627 0.61 -0.13 0.0110 1,643,698 47.656 0.40 725.75 35.48 °0.81 0.58 88.91 °1.508 0.03 1.51
349 °0.626 0.61 -0.12 0.0110 1,640,569 47.696 0.40 726.15 35.87 °0.81 0.59 89.11 °1.508 0.02 1.51
350 °0.625 0.62 -0.11 0.0109 1,637,706 47.732 0.40 726.54 36.26 °0.81 0.59 89.32 °1.509 0.02 1.51
351 °0.625 0.62 -0.10 0.0109 1,635,107 47.764 0.40 726.94 36.65 °0.80 0.60 89.53 °1.509 0.01 1.51
352 °0.624 0.62 -0.09 0.0109 1,632,772 47.793 0.40 727.33 37.04 °0.80 0.60 89.74 °1.510 0.01 1.51
353 °0.624 0.62 -0.08 0.0109 1,630,699 47.819 0.39 727.73 37.43 °0.79 0.61 89.94 °1.510 0.00 1.51
354 °0.623 0.62 -0.07 0.0109 1,628,887 47.841 0.39 728.12 37.82 °0.79 0.61 90.15 °1.511 0.00 1.51
355 °0.623 0.62 -0.05 0.0109 1,627,336 47.860 0.39 728.52 38.21 °0.79 0.62 90.36 °1.511 -0.01 1.51
356 °0.622 0.62 -0.04 0.0109 1,626,044 47.876 0.39 728.91 38.59 °0.78 0.62 90.56 °1.512 -0.01 1.51
357 °0.622 0.62 -0.03 0.0109 1,625,012 47.888 0.39 729.30 38.98 °0.78 0.63 90.77 °1.512 -0.02 1.51
358 °0.622 0.62 -0.02 0.0109 1,624,238 47.896 0.39 729.70 39.37 °0.77 0.63 90.97 °1.513 -0.03 1.51
359 °0.622 0.62 -0.01 0.0109 1,623,722 47.901 0.39 730.09 39.75 °0.77 0.64 91.18 °1.513 -0.03 1.51
360 °0.622 0.62 0.00 0.0109 1,623,464 47.903 0.39 730.48 40.14 °0.76 0.64 91.39 °1.514 -0.04 1.51
Given See Rν below. Rνcos(ν) Rνsin(ν) See Δd below Convert to km. See Vν below. Δd/Vν Σt ω=0.9856°/dy cos(νE) sin(νE) ω=0.5240°/dy See R RMcos(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, C, is distance from focus (i.e. Sol) to cycler at ν = 90°.
In this case, let C = 1.0 AU =149,597,870.7 km  (deliberately chosen to be same distance as from Sol to Terra).
Then, b, semiminor axis, = (a×C) = (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(c

1 + ec×cos(ν)
)
Δd=
√((ΔX)2+(ΔY)2)
=((X2-X1)2+(Y2-Y1)2)
Vν=(Sol

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.

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