Saturday, July 21, 2007

2nd TABLE: 2 YEAR CYCLER at q=1 AU.

Annual rendezvous at Earth's perihelion, q.
Insert two cyclers in the 2 year orbit.

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 1.353 AU.
Cycler
Angle
RadiusCoordinatesIncr. DistVelocityIncr.
Time
Cumm.
Time
Earth
Angle
CoordinatesMars
Angle
RadiusCoordinates
νCRCCYCΔdCVΔtCTCνEEYEνMRMMYM
DegAUAUAUAUkmkm/secdaysdaysDegAUAUDegAUAUAU
0 0.9829 0.9829 0.0000 n/a n/a 35.247 n/a 0 0 1.0000 0.0000 0.000 1.3700 1.3700 0.0000
1 0.9830 0.9828 0.0172 0.017 2,566,037 35.246 0.870 0.870 0.86 0.9999 0.0152 0.456 1.3700 1.3700 0.0109
2 0.9831 0.9825 0.0343 0.017 2,563,965 35.243 0.870 1.740 1.72 0.9995 0.0304 0.912 1.3700 1.3698 0.0218
3 0.9833 0.9819 0.0514 0.017 2,559,825 35.237 0.869 2.609 2.57 0.9990 0.0455 1.367 1.3700 1.3697 0.0327
4 0.9836 0.9812 0.0684 0.017 2,553,625 35.230 0.867 3.475 3.43 0.9982 0.0606 1.821 1.3701 1.3694 0.0435
5 0.9840 0.9802 0.0854 0.017 2,545,376 35.220 0.864 4.339 4.28 0.9971 0.0757 2.274 1.3701 1.3690 0.0543
6 0.9844 0.9790 0.1023 0.017 2,535,095 35.209 0.861 5.200 5.13 0.9959 0.0906 2.725 1.3701 1.3686 0.0651
7 0.9849 0.9776 0.1191 0.017 2,522,802 35.195 0.857 6.057 5.97 0.9944 0.1055 3.174 1.3702 1.3681 0.0757
8 0.9856 0.9760 0.1358 0.017 2,508,521 35.179 0.853 6.910 6.81 0.9927 0.1203 3.621 1.3703 1.3675 0.0864
9 0.9862 0.9741 0.1524 0.017 2,492,283 35.161 0.847 7.757 7.65 0.9908 0.1350 4.065 1.3703 1.3669 0.0969
10 0.9870 0.9720 0.1688 0.017 2,474,120 35.140 0.842 8.599 8.48 0.9888 0.1495 4.506 1.3704 1.3662 0.1073
11 0.9879 0.9697 0.1850 0.016 2,454,073 35.118 0.835 9.434 9.30 0.9865 0.1639 4.944 1.3705 1.3654 0.1177
12 0.9888 0.9672 0.2011 0.016 2,432,184 35.094 0.829 10.263 10.12 0.9840 0.1782 5.378 1.3705 1.3645 0.1279
13 0.9899 0.9645 0.2170 0.016 2,408,504 35.067 0.821 11.084 10.92 0.9813 0.1922 5.808 1.3706 1.3636 0.1380
14 0.9910 0.9615 0.2326 0.016 2,383,090 35.038 0.813 11.897 11.73 0.9785 0.2062 6.234 1.3707 1.3626 0.1480
15 0.9922 0.9584 0.2480 0.016 2,356,004 35.007 0.805 12.702 12.52 0.9755 0.2199 6.656 1.3708 1.3616 0.1578
νCRCCYCΔdCVΔtCTCνEEYEνMRMMYM
DegAUAUAUAUkmkm/secdaysdaysDegAUAUDegAUAUAU
16 0.9935 0.9550 0.2632 0.016 2,327,315 34.975 0.796 13.497 13.30 0.9724 0.2334 7.073 1.3709 1.3605 0.1675
17 0.9948 0.9513 0.2781 0.015 2,297,101 34.940 0.786 14.283 14.08 0.9691 0.2467 7.484 1.3711 1.3594 0.1771
18 0.9963 0.9475 0.2928 0.015 2,265,448 34.902 0.776 15.059 14.84 0.9657 0.2598 7.891 1.3712 1.3582 0.1865
19 0.9978 0.9434 0.3072 0.015 2,232,451 34.863 0.766 15.825 15.60 0.9621 0.2727 8.292 1.3713 1.3570 0.1957
20 0.9994 0.9391 0.3212 0.015 2,198,215 34.822 0.755 16.580 16.34 0.9584 0.2853 8.688 1.3714 1.3557 0.2048
21 1.0011 0.9346 0.3349 0.014 2,162,856 34.779 0.743 17.323 17.07 0.9546 0.2978 9.077 1.3716 1.3544 0.2137
22 1.0029 0.9299 0.3483 0.014 2,126,501 34.733 0.732 18.055 17.80 0.9508 0.3099 9.461 1.3717 1.3530 0.2224
23 1.0048 0.9249 0.3614 0.014 2,089,293 34.686 0.720 18.775 18.51 0.9468 0.3219 9.838 1.3718 1.3516 0.2310
24 1.0067 0.9197 0.3741 0.014 2,051,388 34.636 0.708 19.483 19.20 0.9427 0.3335 10.209 1.3720 1.3502 0.2393
25 1.0088 0.9143 0.3864 0.013 2,012,957 34.585 0.696 20.179 19.89 0.9386 0.3450 10.574 1.3721 1.3488 0.2475
26 1.0109 0.9086 0.3983 0.013 1,974,191 34.531 0.684 20.863 20.56 0.9344 0.3561 10.932 1.3722 1.3473 0.2555
27 1.0131 0.9027 0.4098 0.013 1,935,299 34.475 0.671 21.534 21.22 0.9302 0.3670 11.284 1.3724 1.3459 0.2633
28 1.0154 0.8966 0.4209 0.013 1,896,509 34.417 0.659 22.193 21.87 0.9259 0.3777 11.629 1.3725 1.3444 0.2710
29 1.0178 0.8902 0.4316 0.012 1,858,075 34.358 0.647 22.839 22.51 0.9216 0.3881 11.968 1.3727 1.3429 0.2785
30 1.0203 0.8836 0.4418 0.012 1,820,271 34.296 0.635 23.474 23.14 0.9172 0.3983 12.300 1.3728 1.3413 0.2857
Given2YrCy

1+e×cos(ν)
Rνcos(ν)Rνsin(ν)(ΔX²+ΔY²)Δd(AU) × 
149,597,870.7km
(

Rν
-μ

aC
)
Δd

Vν
Σt
t×0.9856°

day
cos(νE)sin(νE)
t×0.5240°

day
Mars

1+e×cos(ν)
RMcos(νM)RMsin(νM)
31 1.0229 0.8768 0.4516 0.012 1,783,399 34.232 0.623 24.096 23.75 0.9129 0.4083 12.627 1.3730 1.3398 0.2929
32 1.0256 0.8697 0.4609 0.012 1,747,783 34.166 0.612 24.708 24.35 0.9084 0.4180 12.947 1.3731 1.3382 0.2998
33 1.0283 0.8624 0.4697 0.011 1,713,775 34.098 0.601 25.309 24.95 0.9040 0.4275 13.262 1.3733 1.3367 0.3066
34 1.0311 0.8549 0.4780 0.011 1,681,750 34.028 0.591 25.900 25.53 0.8996 0.4368 13.571 1.3735 1.3351 0.3133
35 1.0341 0.8471 0.4859 0.011 1,652,105 33.957 0.582 26.481 26.10 0.8951 0.4459 13.876 1.3736 1.3335 0.3198
36 1.0371 0.8390 0.4932 0.011 1,625,252 33.883 0.573 27.055 26.67 0.8906 0.4548 14.177 1.3738 1.3319 0.3262
37 1.0402 0.8308 0.5000 0.011 1,601,618 33.807 0.566 27.621 27.23 0.8860 0.4636 14.474 1.3739 1.3303 0.3325
38 1.0434 0.8222 0.5062 0.011 1,581,633 33.730 0.561 28.182 27.78 0.8815 0.4723 14.767 1.3741 1.3287 0.3387
39 1.0467 0.8135 0.5119 0.010 1,565,717 33.650 0.556 28.738 28.33 0.8768 0.4808 15.059 1.3742 1.3271 0.3448
40 1.0501 0.8044 0.5171 0.010 1,554,277 33.568 0.554 29.292 28.87 0.8721 0.4893 15.349 1.3744 1.3254 0.3508
41 1.0536 0.7952 0.5217 0.010 1,547,684 33.485 0.553 29.844 29.42 0.8674 0.4976 15.638 1.3746 1.3237 0.3568
42 1.0572 0.7857 0.5257 0.010 1,546,267 33.400 0.553 30.398 29.96 0.8625 0.5060 15.928 1.3747 1.3220 0.3628
43 1.0609 0.7759 0.5291 0.010 1,550,297 33.312 0.556 30.954 30.51 0.8576 0.5144 16.220 1.3749 1.3202 0.3688
44 1.0647 0.7659 0.5320 0.010 1,559,977 33.223 0.561 31.516 31.06 0.8525 0.5227 16.514 1.3751 1.3184 0.3748
45 1.0685 0.7556 0.5343 0.011 1,575,437 33.132 0.568 32.084 31.62 0.8473 0.5312 16.812 1.3753 1.3165 0.3808
νCRCCYCΔdCVΔtCTCνEEYEνMRMMYM
DegAUAUAUAUkmkm/secdaysdaysDegAUAUDegAUAUAU
46 1.0725 0.7450 0.5359 0.011 1,596,727 33.039 0.578 32.662 32.19 0.8419 0.5397 17.115 1.3755 1.3146 0.3869
47 1.0766 0.7342 0.5370 0.011 1,623,822 32.945 0.589 33.251 32.77 0.8363 0.5483 17.424 1.3757 1.3126 0.3930
48 1.0807 0.7232 0.5374 0.011 1,656,624 32.848 0.603 33.854 33.37 0.8305 0.5571 17.740 1.3759 1.3105 0.3993
49 1.0850 0.7118 0.5372 0.011 1,694,971 32.750 0.619 34.473 33.98 0.8244 0.5660 18.064 1.3761 1.3083 0.4057
50 1.0894 0.7002 0.5364 0.012 1,738,649 32.649 0.637 35.109 34.61 0.8181 0.5751 18.397 1.3763 1.3060 0.4122
51 1.0938 0.6884 0.5350 0.012 1,787,400 32.547 0.657 35.766 35.25 0.8114 0.5845 18.741 1.3766 1.3036 0.4188
52 1.0984 0.6762 0.5329 0.012 1,840,938 32.444 0.678 36.444 35.92 0.8044 0.5940 19.097 1.3768 1.3010 0.4257
53 1.1031 0.6638 0.5302 0.013 1,898,955 32.338 0.702 37.146 36.61 0.7971 0.6039 19.465 1.3771 1.2984 0.4327
54 1.1078 0.6512 0.5268 0.013 1,961,134 32.231 0.727 37.874 37.33 0.7894 0.6139 19.846 1.3774 1.2956 0.4398
55 1.1127 0.6382 0.5228 0.014 2,027,156 32.122 0.754 38.628 38.07 0.7812 0.6243 20.241 1.3776 1.2926 0.4472
56 1.1177 0.6250 0.5182 0.014 2,096,703 32.011 0.783 39.411 38.85 0.7726 0.6349 20.652 1.3780 1.2894 0.4548
57 1.1228 0.6115 0.5129 0.015 2,169,464 31.899 0.813 40.225 39.65 0.7635 0.6458 21.078 1.3783 1.2861 0.4625
58 1.1280 0.5977 0.5069 0.015 2,245,142 31.785 0.844 41.069 40.48 0.7539 0.6570 21.520 1.3786 1.2825 0.4705
59 1.1332 0.5837 0.5003 0.016 2,323,450 31.669 0.877 41.946 41.34 0.7438 0.6684 21.980 1.3790 1.2788 0.4786
60 1.1386 0.5693 0.4930 0.016 2,404,113 31.551 0.911 42.857 42.24 0.7331 0.6802 22.457 1.3794 1.2748 0.4870
Given2YrCy

1+e×cos(ν)
Rνcos(ν)Rνsin(ν)(ΔX²+ΔY²)Δd(AU) × 
149,597,870.7km
(

Rν
-μ

aC
)
Δd

Vν
Σt
t×0.9856°

day
cos(νE)sin(νE)
t×0.5240°

day
Mars

1+e×cos(ν)
RMcos(νM)RMsin(νM)
61 1.1442 0.5547 0.4851 0.017 2,486,871 31.432 0.946 43.803 43.17 0.7217 0.6922 22.953 1.3798 1.2706 0.4955
62 1.1498 0.5398 0.4766 0.017 2,571,480 31.312 0.982 44.785 44.14 0.7098 0.7044 23.467 1.3803 1.2661 0.5042
63 1.1555 0.5246 0.4674 0.018 2,657,703 31.189 1.019 45.804 45.15 0.6971 0.7170 24.001 1.3807 1.2613 0.5131
64 1.1613 0.5091 0.4576 0.018 2,745,321 31.065 1.057 46.860 46.19 0.6838 0.7297 24.555 1.3812 1.2563 0.5221
65 1.1673 0.4933 0.4471 0.019 2,834,122 30.940 1.095 47.955 47.27 0.6697 0.7426 25.129 1.3818 1.2510 0.5312
66 1.1733 0.4772 0.4360 0.020 2,923,907 30.813 1.134 49.090 48.39 0.6549 0.7557 25.723 1.3823 1.2453 0.5405
67 1.1795 0.4609 0.4242 0.020 3,014,485 30.684 1.175 50.264 49.54 0.6392 0.7690 26.338 1.3829 1.2393 0.5499
68 1.1858 0.4442 0.4118 0.021 3,105,673 30.554 1.215 51.480 50.74 0.6228 0.7824 26.975 1.3835 1.2330 0.5593
69 1.1921 0.4272 0.3989 0.021 3,197,297 30.423 1.256 52.736 51.98 0.6055 0.7959 27.634 1.3842 1.2263 0.5688
70 1.1986 0.4100 0.3852 0.022 3,289,189 30.290 1.298 54.034 53.26 0.5873 0.8094 28.314 1.3849 1.2192 0.5783
71 1.2053 0.3924 0.3710 0.023 3,381,187 30.156 1.340 55.375 54.58 0.5682 0.8229 29.016 1.3856 1.2117 0.5877
72 1.2120 0.3745 0.3562 0.023 3,473,136 30.020 1.383 56.758 55.94 0.5482 0.8364 29.741 1.3864 1.2038 0.5972
73 1.2188 0.3564 0.3408 0.024 3,564,883 29.883 1.426 58.184 57.35 0.5272 0.8497 30.488 1.3872 1.1954 0.6065
74 1.2258 0.3379 0.3248 0.024 3,656,281 29.744 1.470 59.654 58.80 0.5052 0.8630 31.259 1.3881 1.1866 0.6157
75 1.2329 0.3191 0.3082 0.025 3,747,188 29.604 1.513 61.167 60.29 0.4823 0.8760 32.052 1.3890 1.1773 0.6248
νCRCCYCΔdCVΔtCTCνEEYEνMRMMYM
DegAUAUAUAUkmkm/secdaysdaysDegAUAUDegAUAUAU
76 1.2401 0.3000 0.2911 0.026 3,837,463 29.463 1.557 62.724 61.82 0.4583 0.8888 32.867 1.3900 1.1675 0.6336
77 1.2474 0.2806 0.2734 0.026 3,926,970 29.320 1.601 64.325 63.40 0.4333 0.9013 33.707 1.3910 1.1572 0.6422
78 1.2548 0.2609 0.2552 0.027 4,015,575 29.177 1.645 65.971 65.02 0.4072 0.9133 34.569 1.3921 1.1463 0.6504
79 1.2623 0.2409 0.2364 0.027 4,103,145 29.032 1.690 67.661 66.69 0.3801 0.9249 35.454 1.3932 1.1349 0.6583
80 1.2700 0.2205 0.2172 0.028 4,189,553 28.885 1.734 69.395 68.40 0.3519 0.9360 36.363 1.3944 1.1229 0.6657
81 1.2777 0.1999 0.1974 0.029 4,274,671 28.738 1.778 71.173 70.15 0.3227 0.9465 37.295 1.3956 1.1103 0.6727
82 1.2856 0.1789 0.1772 0.029 4,358,375 28.589 1.823 72.995 71.95 0.2924 0.9563 38.250 1.3969 1.0970 0.6792
83 1.2936 0.1577 0.1565 0.030 4,440,540 28.439 1.867 74.862 73.79 0.2611 0.9653 39.228 1.3983 1.0832 0.6850
84 1.3018 0.1361 0.1353 0.030 4,521,046 28.288 1.911 76.773 75.67 0.2288 0.9735 40.229 1.3997 1.0687 0.6902
85 1.3100 0.1142 0.1137 0.031 4,599,774 28.136 1.954 78.727 77.60 0.1955 0.9807 41.253 1.4012 1.0535 0.6946
86 1.3184 0.0920 0.0917 0.031 4,676,605 27.983 1.998 80.725 79.57 0.1612 0.9869 42.300 1.4028 1.0376 0.6983
87 1.3269 0.0694 0.0693 0.032 4,751,424 27.829 2.041 82.767 81.58 0.1259 0.9920 43.370 1.4045 1.0209 0.7011
88 1.3355 0.0466 0.0466 0.032 4,824,117 27.674 2.084 84.851 83.63 0.0898 0.9960 44.462 1.4062 1.0036 0.7030
89 1.3442 0.0235 0.0235 0.033 4,894,572 27.518 2.126 86.977 85.73 0.0527 0.9986 45.576 1.4079 0.9855 0.7038
90 1.3530 0.0000 0.0000 0.033 4,962,678 27.361 2.168 89.146 87.87 0.0149 0.9999 46.712 1.4098 0.9667 0.7036
Given2YrCy

1+e×cos(ν)
Rνcos(ν)Rνsin(ν)(ΔX²+ΔY²)Δd(AU) × 
149,597,870.7km
(

Rν
-μ

aC
)
Δd

Vν
Σt
t×0.9856°

day
cos(νE)sin(νE)
t×0.5240°

day
Mars

1+e×cos(ν)
RMcos(νM)RMsin(νM)
91 1.3619 -0.0238 -0.0238 0.034 5,028,327 27.203 2.210 91.356 90.04 -0.0237 0.9997 47.870 1.4117 0.9470 0.7023
92 1.3710 -0.0478 -0.0478 0.034 5,091,414 27.044 2.251 93.606 92.26 -0.0629 0.9980 49.050 1.4138 0.9266 0.6998
93 1.3802 -0.0722 -0.0721 0.034 5,151,834 26.885 2.291 95.897 94.52 -0.1027 0.9947 50.250 1.4159 0.9054 0.6961
94 1.3895 -0.0969 -0.0967 0.035 5,209,487 26.724 2.331 98.228 96.82 -0.1431 0.9897 51.471 1.4180 0.8833 0.6910
95 1.3989 -0.1219 -0.1215 0.035 5,264,273 26.563 2.369 100.597 99.15 -0.1839 0.9829 52.713 1.4203 0.8604 0.6846
96 1.4084 -0.1472 -0.1464 0.036 5,316,099 26.401 2.407 103.004 101.53 -0.2250 0.9744 53.974 1.4226 0.8367 0.6767
97 1.4181 -0.1728 -0.1715 0.036 5,364,872 26.238 2.444 105.449 103.94 -0.2664 0.9639 55.255 1.4251 0.8122 0.6674
98 1.4278 -0.1987 -0.1968 0.036 5,410,502 26.075 2.481 107.930 106.38 -0.3078 0.9514 56.555 1.4276 0.7868 0.6565
99 1.4377 -0.2249 -0.2221 0.036 5,452,906 25.911 2.516 110.446 108.86 -0.3493 0.9370 57.874 1.4301 0.7605 0.6441
100 1.4476 -0.2514 -0.2476 0.037 5,492,001 25.747 2.550 112.996 111.37 -0.3907 0.9205 59.210 1.4328 0.7335 0.6301
101 1.4577 -0.2781 -0.2730 0.037 5,527,712 25.582 2.583 115.579 113.92 -0.4318 0.9020 60.563 1.4356 0.7055 0.6144
102 1.4679 -0.3052 -0.2985 0.037 5,559,968 25.416 2.615 118.195 116.50 -0.4725 0.8813 61.934 1.4384 0.6768 0.5972
103 1.4782 -0.3325 -0.3240 0.037 5,588,701 25.250 2.646 120.841 119.11 -0.5127 0.8586 63.321 1.4413 0.6472 0.5783
104 1.4886 -0.3601 -0.3494 0.038 5,613,851 25.084 2.676 123.516 121.74 -0.5522 0.8337 64.723 1.4443 0.6167 0.5577
105 1.4991 -0.3880 -0.3748 0.038 5,635,363 24.917 2.704 126.220 124.41 -0.5909 0.8068 66.139 1.4474 0.5855 0.5355
νCRCCYCΔdCVΔtCTCνEEYEνMRMMYM
DegAUAUAUAUkmkm/secdaysdaysDegAUAUDegAUAUAU
106 1.5097 -0.4161 -0.4000 0.038 5,653,188 24.749 2.731 128.951 127.10 -0.6287 0.7777 67.570 1.4506 0.5535 0.5116
107 1.5204 -0.4445 -0.4251 0.038 5,667,287 24.582 2.756 131.707 129.82 -0.6653 0.7466 69.015 1.4538 0.5207 0.4861
108 1.5311 -0.4731 -0.4500 0.038 5,677,625 24.414 2.780 134.488 132.56 -0.7008 0.7134 70.472 1.4571 0.4871 0.4591
109 1.5420 -0.5020 -0.4747 0.038 5,684,178 24.246 2.803 137.290 135.32 -0.7348 0.6783 71.940 1.4605 0.4528 0.4305
110 1.5530 -0.5311 -0.4991 0.038 5,686,928 24.078 2.824 140.114 138.10 -0.7673 0.6413 73.420 1.4640 0.4178 0.4004
111 1.5640 -0.5605 -0.5233 0.038 5,685,869 23.910 2.843 142.957 140.91 -0.7982 0.6024 74.910 1.4675 0.3821 0.3689
112 1.5752 -0.5901 -0.5471 0.038 5,681,005 23.742 2.861 145.818 143.73 -0.8273 0.5618 76.409 1.4711 0.3457 0.3360
113 1.5864 -0.6198 -0.5706 0.038 5,672,350 23.574 2.877 148.695 146.56 -0.8544 0.5196 77.916 1.4747 0.3087 0.3019
114 1.5977 -0.6498 -0.5936 0.038 5,659,929 23.405 2.891 151.586 149.41 -0.8795 0.4758 79.431 1.4784 0.2712 0.2666
115 1.6090 -0.6800 -0.6163 0.038 5,643,782 23.237 2.904 154.489 152.27 -0.9025 0.4307 80.952 1.4822 0.2331 0.2302
116 1.6204 -0.7104 -0.6385 0.038 5,623,960 23.069 2.915 157.404 155.15 -0.9232 0.3842 82.480 1.4860 0.1945 0.1928
117 1.6319 -0.7409 -0.6601 0.037 5,600,530 22.902 2.924 160.328 158.03 -0.9416 0.3366 84.012 1.4899 0.1554 0.1546
118 1.6435 -0.7716 -0.6813 0.037 5,573,573 22.734 2.931 163.259 160.92 -0.9576 0.2880 85.548 1.4938 0.1160 0.1156
119 1.6551 -0.8024 -0.7018 0.037 5,543,187 22.567 2.937 166.195 163.81 -0.9711 0.2386 87.086 1.4977 0.0761 0.0760
120 1.6668 -0.8334 -0.7217 0.037 5,509,486 22.400 2.941 169.136 166.71 -0.9821 0.1885 88.627 1.5016 0.0360 0.0360
Given2YrCy

1+e×cos(ν)
Rνcos(ν)Rνsin(ν)(ΔX²+ΔY²)Δd(AU) × 
149,597,870.7km
(

Rν
-μ

aC
)
Δd

Vν
Σt
t×0.9856°

day
cos(νE)sin(νE)
t×0.5240°

day
Mars

1+e×cos(ν)
RMcos(νM)RMsin(νM)
121 1.6785 -0.8645 -0.7410 0.037 5,472,604 22.234 2.943 172.079 169.61 -0.9905 0.1378 90.169 1.5056 -0.0044 -0.0044
122 1.6902 -0.8957 -0.7596 0.036 5,432,691 22.068 2.943 175.022 172.51 -0.9962 0.0868 91.711 1.5096 -0.0451 -0.0451
123 1.7020 -0.9270 -0.7774 0.036 5,389,921 21.903 2.942 177.964 175.41 -0.9994 0.0355 93.253 1.5137 -0.0859 -0.0858
124 1.7138 -0.9584 -0.7945 0.036 5,344,487 21.738 2.939 180.903 178.31 -0.9999 -0.0158 94.793 1.5177 -0.1268 -0.1264
125 1.7257 -0.9898 -0.8108 0.035 5,296,605 21.574 2.935 183.838 181.20 -0.9978 -0.0669 96.331 1.5218 -0.1678 -0.1668
126 1.7375 -1.0213 -0.8262 0.035 5,246,513 21.411 2.930 186.768 184.09 -0.9930 -0.1178 97.866 1.5258 -0.2088 -0.2069
127 1.7494 -1.0528 -0.8408 0.035 5,194,473 21.248 2.923 189.691 186.97 -0.9857 -0.1683 99.398 1.5299 -0.2498 -0.2465
128 1.7613 -1.0843 -0.8545 0.034 5,140,773 21.087 2.915 192.605 189.84 -0.9759 -0.2182 100.925 1.5339 -0.2907 -0.2854
129 1.7731 -1.1159 -0.8672 0.034 5,085,724 20.926 2.906 195.511 192.71 -0.9636 -0.2674 102.448 1.5379 -0.3315 -0.3237
130 1.7850 -1.1474 -0.8789 0.034 5,029,666 20.767 2.896 198.406 195.56 -0.9488 -0.3158 103.965 1.5419 -0.3721 -0.3611
131 1.7968 -1.1788 -0.8897 0.033 4,972,959 20.609 2.885 201.291 198.40 -0.9317 -0.3631 105.477 1.5459 -0.4125 -0.3976
132 1.8086 -1.2102 -0.8994 0.033 4,915,993 20.451 2.874 204.165 201.24 -0.9124 -0.4094 106.982 1.5499 -0.4527 -0.4329
133 1.8204 -1.2415 -0.9080 0.032 4,859,179 20.296 2.862 207.027 204.06 -0.8908 -0.4544 108.482 1.5538 -0.4926 -0.4672
134 1.8322 -1.2727 -0.9155 0.032 4,802,951 20.141 2.851 209.878 206.87 -0.8671 -0.4982 109.976 1.5577 -0.5322 -0.5001
135 1.8439 -1.3038 -0.9219 0.032 4,747,765 19.988 2.840 212.718 209.67 -0.8413 -0.5405 111.464 1.5616 -0.5714 -0.5318
νCRCCYCΔdCVΔtCTCνEEYEνMRMMYM
DegAUAUAUAUkmkm/secdaysdaysDegAUAUDegAUAUAU
136 1.8555 -1.3348 -0.9272 0.031 4,694,092 19.836 2.829 215.547 212.45 -0.8136 -0.5814 112.947 1.5654 -0.6103 -0.5620
137 1.8671 -1.3655 -0.9313 0.031 4,642,418 19.686 2.819 218.367 215.23 -0.7841 -0.6207 114.424 1.5692 -0.6489 -0.5908
138 1.8786 -1.3961 -0.9342 0.031 4,593,239 19.538 2.811 221.177 218.00 -0.7527 -0.6584 115.897 1.5730 -0.6870 -0.6180
139 1.8901 -1.4264 -0.9358 0.030 4,547,053 19.391 2.803 223.981 220.77 -0.7196 -0.6944 117.366 1.5767 -0.7248 -0.6437
140 1.9014 -1.4566 -0.9363 0.030 4,504,354 19.246 2.798 226.779 223.53 -0.6848 -0.7287 118.832 1.5804 -0.7621 -0.6677
141 1.9126 -1.4864 -0.9354 0.030 4,465,626 19.103 2.795 229.574 226.28 -0.6485 -0.7612 120.297 1.5841 -0.7991 -0.6900
142 1.9237 -1.5159 -0.9333 0.030 4,431,332 18.962 2.794 232.368 229.03 -0.6106 -0.7919 121.761 1.5877 -0.8357 -0.7106
143 1.9348 -1.5452 -0.9299 0.029 4,401,906 18.823 2.796 235.163 231.79 -0.5712 -0.8208 123.226 1.5912 -0.8719 -0.7294
144 1.9456 -1.5740 -0.9252 0.029 4,377,744 18.687 2.801 237.964 234.55 -0.5305 -0.8477 124.693 1.5948 -0.9077 -0.7463
145 1.9564 -1.6026 -0.9192 0.029 4,359,194 18.552 2.809 240.773 237.32 -0.4883 -0.8727 126.165 1.5983 -0.9432 -0.7614
146 1.9669 -1.6307 -0.9119 0.029 4,346,544 18.420 2.821 243.594 240.10 -0.4447 -0.8957 127.643 1.6017 -0.9783 -0.7746
147 1.9774 -1.6584 -0.9032 0.029 4,340,020 18.291 2.837 246.431 242.90 -0.3999 -0.9166 129.130 1.6052 -1.0130 -0.7858
148 1.9876 -1.6856 -0.8932 0.029 4,339,773 18.164 2.856 249.287 245.71 -0.3537 -0.9354 130.627 1.6086 -1.0474 -0.7949
149 1.9977 -1.7124 -0.8819 0.029 4,345,874 18.040 2.880 252.168 248.55 -0.3062 -0.9520 132.136 1.6119 -1.0814 -0.8019
150 2.0076 -1.7386 -0.8693 0.029 4,358,316 17.918 2.908 255.076 251.42 -0.2575 -0.9663 133.660 1.6152 -1.1151 -0.8067
Given2YrCy

1+e×cos(ν)
Rνcos(ν)Rνsin(ν)(ΔX²+ΔY²)Δd(AU) × 
149,597,870.7km
(

Rν
-μ

aC
)
Δd

Vν
Σt
t×0.9856°

day
cos(νE)sin(νE)
t×0.5240°

day
Mars

1+e×cos(ν)
RMcos(νM)RMsin(νM)
151 2.0173 -1.7644 -0.8554 0.029 4,377,009 17.799 2.940 258.016 254.31 -0.2076 -0.9782 135.200 1.6185 -1.1485 -0.8092
152 2.0268 -1.7895 -0.8401 0.029 4,401,780 17.683 2.976 260.992 257.25 -0.1566 -0.9877 136.760 1.6218 -1.1814 -0.8094
153 2.0360 -1.8141 -0.8236 0.030 4,432,379 17.570 3.016 264.008 260.22 -0.1044 -0.9945 138.340 1.6250 -1.2140 -0.8070
154 2.0450 -1.8381 -0.8058 0.030 4,468,484 17.461 3.060 267.067 263.24 -0.0512 -0.9987 139.943 1.6282 -1.2462 -0.8020
155 2.0538 -1.8614 -0.7867 0.030 4,509,708 17.354 3.107 270.174 266.30 0.0030 -1.0000 141.571 1.6313 -1.2779 -0.7943
156 2.0623 -1.8840 -0.7663 0.030 4,555,605 17.251 3.157 273.331 269.41 0.0581 -0.9983 143.226 1.6344 -1.3091 -0.7837
157 2.0706 -1.9060 -0.7447 0.031 4,605,682 17.151 3.210 276.542 272.57 0.1139 -0.9935 144.908 1.6374 -1.3398 -0.7702
158 2.0786 -1.9273 -0.7220 0.031 4,659,406 17.054 3.266 279.808 275.79 0.1703 -0.9854 146.619 1.6404 -1.3698 -0.7536
159 2.0863 -1.9478 -0.6980 0.032 4,716,215 16.962 3.324 283.132 279.07 0.2272 -0.9738 148.361 1.6433 -1.3990 -0.7339
160 2.0938 -1.9675 -0.6729 0.032 4,775,525 16.872 3.384 286.516 282.41 0.2843 -0.9587 150.134 1.6461 -1.4275 -0.7108
161 2.1009 -1.9864 -0.6467 0.032 4,836,740 16.787 3.445 289.961 285.80 0.3414 -0.9399 151.939 1.6488 -1.4550 -0.6844
162 2.1077 -2.0046 -0.6194 0.033 4,899,259 16.705 3.506 293.467 289.26 0.3982 -0.9173 153.777 1.6514 -1.4814 -0.6546
163 2.1142 -2.0218 -0.5911 0.033 4,962,483 16.628 3.568 297.035 292.77 0.4545 -0.8907 155.646 1.6539 -1.5067 -0.6213
164 2.1204 -2.0383 -0.5618 0.034 5,025,822 16.554 3.630 300.665 296.35 0.5100 -0.8602 157.548 1.6563 -1.5307 -0.5846
165 2.1263 -2.0538 -0.5316 0.034 5,088,700 16.484 3.691 304.355 299.99 0.5643 -0.8256 159.482 1.6585 -1.5533 -0.5444
νCRCCYCΔdCVΔtCTCνEEYEνMRMMYM
DegAUAUAUAUkmkm/secdaysdaysDegAUAUDegAUAUAU
166 2.1318 -2.0684 -0.5004 0.034 5,150,558 16.419 3.750 308.106 303.69 0.6171 -0.7869 161.447 1.6605 -1.5743 -0.5009
167 2.1369 -2.0822 -0.4684 0.035 5,210,859 16.357 3.809 311.914 307.44 0.6680 -0.7441 163.443 1.6624 -1.5935 -0.4541
168 2.1417 -2.0949 -0.4356 0.035 5,269,094 16.300 3.865 315.779 311.25 0.7167 -0.6974 165.468 1.6642 -1.6109 -0.4042
169 2.1462 -2.1068 -0.4020 0.036 5,324,779 16.247 3.918 319.697 315.11 0.7626 -0.6468 167.521 1.6657 -1.6263 -0.3514
170 2.1503 -2.1176 -0.3677 0.036 5,377,462 16.199 3.969 323.666 319.02 0.8056 -0.5925 169.601 1.6670 -1.6396 -0.2960
171 2.1540 -2.1275 -0.3328 0.036 5,426,725 16.155 4.016 327.682 322.98 0.8451 -0.5346 171.705 1.6681 -1.6506 -0.2381
172 2.1573 -2.1363 -0.2973 0.037 5,472,183 16.116 4.060 331.742 326.98 0.8808 -0.4734 173.833 1.6689 -1.6593 -0.1783
173 2.1603 -2.1442 -0.2613 0.037 5,513,484 16.081 4.099 335.841 331.02 0.9124 -0.4093 175.981 1.6695 -1.6654 -0.1167
174 2.1629 -2.1510 -0.2248 0.037 5,550,317 16.050 4.134 339.975 335.10 0.9395 -0.3424 178.147 1.6699 -1.6690 -0.0540
175 2.1650 -2.1568 -0.1880 0.037 5,582,404 16.024 4.165 344.140 339.20 0.9619 -0.2733 180.329 1.6700 -1.6700 0.0096
176 2.1668 -2.1615 -0.1508 0.037 5,609,510 16.003 4.191 348.331 343.33 0.9793 -0.2023 182.525 1.6698 -1.6682 0.0735
177 2.1682 -2.1652 -0.1133 0.038 5,631,434 15.987 4.211 352.542 347.48 0.9915 -0.1298 184.732 1.6694 -1.6637 0.1372
178 2.1692 -2.1679 -0.0757 0.038 5,648,017 15.975 4.227 356.769 351.65 0.9984 -0.0564 186.947 1.6687 -1.6564 0.2003
179 2.1698 -2.1695 -0.0379 0.038 5,659,140 15.968 4.237 361.006 355.83 0.9998 0.0176 189.167 1.6677 -1.6464 0.2623
180 2.1700 -2.1700 0.0000 0.038 5,664,721 15.966 4.242 365.248 360.01 0.9958 0.0915 191.390 1.6664 -1.6336 0.3226
νC RC C YC ΔdC V ΔtC TC νE E YE νM RM M YM
Given2YrCy

1+e×cos(ν)
Rνcos(ν)Rνsin(ν)(ΔX²+ΔY²)Δd(AU) × 
149,597,870.7km
(

Rν
-μ

aC
)
Δd

Vν
Σt
t×0.9856°

day
cos(νE)sin(νE)
t×0.5240°

day
Mars

1+e×cos(ν)
RMcos(νM)RMsin(νM)
181 2.1698 -2.1695 0.0379 0.038 5,664,721 15.968 4.254 4.254 4.19 0.9972 0.0742 2.229 1.3701 1.3691 0.0532
182 2.1692 -2.1679 0.0757 0.038 5,659,140 15.975 4.248 8.501 8.38 0.9890 0.1478 4.455 1.3704 1.3662 0.1061
183 2.1682 -2.1652 0.1133 0.038 5,648,017 15.987 4.236 12.738 12.55 0.9754 0.2205 6.675 1.3708 1.3616 0.1583
184 2.1668 -2.1615 0.1508 0.038 5,631,434 16.003 4.219 16.957 16.71 0.9565 0.2917 8.885 1.3715 1.3550 0.2093
185 2.1650 -2.1568 0.1880 0.037 5,609,510 16.024 4.197 21.155 20.85 0.9326 0.3609 11.085 1.3723 1.3467 0.2589
186 2.1629 -2.1510 0.2248 0.037 5,582,404 16.050 4.170 25.325 24.96 0.9039 0.4278 13.270 1.3733 1.3366 0.3068
187 2.1603 -2.1442 0.2613 0.037 5,550,317 16.081 4.139 29.464 29.04 0.8707 0.4919 15.439 1.3745 1.3249 0.3527
188 2.1573 -2.1363 0.2973 0.037 5,513,484 16.116 4.102 33.566 33.08 0.8332 0.5529 17.589 1.3758 1.3115 0.3963
189 2.1540 -2.1275 0.3328 0.037 5,472,183 16.155 4.062 37.628 37.09 0.7920 0.6105 19.717 1.3773 1.2965 0.4374
190 2.1503 -2.1176 0.3677 0.036 5,426,725 16.199 4.017 41.645 41.05 0.7473 0.6645 21.822 1.3789 1.2801 0.4758
191 2.1462 -2.1068 0.4020 0.036 5,377,462 16.247 3.969 45.613 44.96 0.6995 0.7146 23.901 1.3806 1.2622 0.5114
192 2.1417 -2.0949 0.4356 0.036 5,324,779 16.300 3.917 49.530 48.82 0.6490 0.7607 25.954 1.3825 1.2431 0.5440
193 2.1369 -2.0822 0.4684 0.035 5,269,094 16.357 3.863 53.393 52.63 0.5963 0.8027 27.978 1.3845 1.2227 0.5736
194 2.1318 -2.0684 0.5004 0.035 5,210,859 16.419 3.806 57.198 56.38 0.5417 0.8406 29.972 1.3867 1.2012 0.6001
195 2.1263 -2.0538 0.5316 0.034 5,150,558 16.484 3.747 60.945 60.07 0.4857 0.8742 31.935 1.3889 1.1787 0.6235
νCRCCYCΔdCVΔtCTCνEEYEνMRMMYM
DegAUAUAUAUkmkm/secdaysdaysDegAUAUDegAUAUAU
196 2.1204 -2.0383 0.5618 0.034 5,088,700 16.554 3.686 64.631 63.70 0.4284 0.9036 33.867 1.3912 1.1552 0.6437
197 2.1142 -2.0218 0.5911 0.034 5,025,822 16.628 3.624 68.255 67.28 0.3705 0.9288 35.766 1.3936 1.1308 0.6609
198 2.1077 -2.0046 0.6194 0.033 4,962,483 16.705 3.562 71.817 70.79 0.3121 0.9501 37.632 1.3961 1.1056 0.6751
199 2.1009 -1.9864 0.6467 0.033 4,899,259 16.787 3.499 75.317 74.24 0.2535 0.9673 39.466 1.3986 1.0798 0.6863
200 2.0938 -1.9675 0.6729 0.032 4,836,740 16.872 3.437 78.754 77.62 0.1950 0.9808 41.267 1.4013 1.0533 0.6947
201 2.0863 -1.9478 0.6980 0.032 4,775,525 16.962 3.376 82.130 80.95 0.1369 0.9906 43.036 1.4039 1.0262 0.7003
202 2.0786 -1.9273 0.7220 0.032 4,716,215 17.054 3.316 85.446 84.22 0.0794 0.9968 44.774 1.4067 0.9986 0.7033
203 2.0706 -1.9060 0.7447 0.031 4,659,406 17.151 3.258 88.703 87.43 0.0226 0.9997 46.481 1.4094 0.9705 0.7038
204 2.0623 -1.8840 0.7663 0.031 4,605,682 17.251 3.201 91.905 90.59 -0.0332 0.9994 48.158 1.4122 0.9421 0.7018
205 2.0538 -1.8614 0.7867 0.030 4,555,605 17.354 3.148 95.052 93.69 -0.0881 0.9961 49.807 1.4151 0.9132 0.6976
206 2.0450 -1.8381 0.8058 0.030 4,509,708 17.461 3.097 98.149 96.74 -0.1418 0.9899 51.430 1.4180 0.8841 0.6912
207 2.0360 -1.8141 0.8236 0.030 4,468,484 17.570 3.049 101.199 99.75 -0.1942 0.9810 53.028 1.4209 0.8545 0.6827
208 2.0268 -1.7895 0.8401 0.030 4,432,379 17.683 3.006 104.204 102.71 -0.2454 0.9694 54.603 1.4238 0.8247 0.6723
209 2.0173 -1.7644 0.8554 0.029 4,401,780 17.799 2.965 107.170 105.63 -0.2952 0.9554 56.157 1.4268 0.7946 0.6600
210 2.0076 -1.7386 0.8693 0.029 4,377,009 17.918 2.929 110.099 108.52 -0.3436 0.9391 57.692 1.4298 0.7642 0.6459
Given2YrCy

1+e×cos(ν)
Rνcos(ν)Rνsin(ν)(ΔX²+ΔY²)Δd(AU) × 
149,597,870.7km
(

Rν
-μ

aC
)
Δd

Vν
Σt
t×0.9856°

day
cos(νE)sin(νE)
t×0.5240°

day
Mars

1+e×cos(ν)
RMcos(νM)RMsin(νM)
211 1.9977 -1.7124 0.8819 0.029 4,358,316 18.040 2.897 112.996 111.37 -0.3907 0.9205 59.210 1.4328 0.7335 0.6301
212 1.9876 -1.6856 0.8932 0.029 4,345,874 18.164 2.869 115.865 114.20 -0.4362 0.8998 60.713 1.4359 0.7024 0.6126
213 1.9774 -1.6584 0.9032 0.029 4,339,773 18.291 2.845 118.710 117.01 -0.4804 0.8771 62.204 1.4390 0.6710 0.5936
214 1.9669 -1.6307 0.9119 0.029 4,340,020 18.420 2.825 121.535 119.79 -0.5230 0.8523 63.684 1.4421 0.6393 0.5731
215 1.9564 -1.6026 0.9192 0.029 4,346,544 18.552 2.809 124.344 122.56 -0.5642 0.8257 65.156 1.4453 0.6072 0.5510
216 1.9456 -1.5740 0.9252 0.029 4,359,194 18.687 2.797 127.141 125.32 -0.6038 0.7972 66.622 1.4485 0.5748 0.5276
217 1.9348 -1.5452 0.9299 0.029 4,377,744 18.823 2.789 129.930 128.07 -0.6418 0.7668 68.083 1.4517 0.5419 0.5027
218 1.9237 -1.5159 0.9333 0.029 4,401,906 18.962 2.784 132.713 130.81 -0.6783 0.7348 69.542 1.4550 0.5086 0.4765
219 1.9126 -1.4864 0.9354 0.030 4,431,332 19.103 2.781 135.495 133.55 -0.7132 0.7010 70.999 1.4583 0.4748 0.4489
220 1.9014 -1.4566 0.9363 0.030 4,465,626 19.246 2.782 138.277 136.29 -0.7464 0.6655 72.457 1.4617 0.4406 0.4201
221 1.8901 -1.4264 0.9358 0.030 4,504,354 19.391 2.785 141.062 139.04 -0.7778 0.6285 73.917 1.4651 0.4059 0.3900
222 1.8786 -1.3961 0.9342 0.030 4,547,053 19.538 2.791 143.853 141.79 -0.8075 0.5899 75.379 1.4686 0.3707 0.3587
223 1.8671 -1.3655 0.9313 0.031 4,593,239 19.686 2.798 146.651 144.55 -0.8353 0.5497 76.845 1.4721 0.3350 0.3262
224 1.8555 -1.3348 0.9272 0.031 4,642,418 19.836 2.806 149.457 147.31 -0.8612 0.5082 78.315 1.4757 0.2989 0.2927
225 1.8439 -1.3038 0.9219 0.031 4,694,092 19.988 2.816 152.273 150.09 -0.8852 0.4653 79.791 1.4793 0.2622 0.2580
νCRCCYCΔdCVΔtCTCνEEYEνMRMMYM
DegAUAUAUAUkmkm/secdaysdaysDegAUAUDegAUAUAU
226 1.8322 -1.2727 0.9155 0.032 4,747,765 20.141 2.827 155.099 152.87 -0.9070 0.4210 81.272 1.4830 0.2250 0.2224
227 1.8204 -1.2415 0.9080 0.032 4,802,951 20.296 2.838 157.937 155.67 -0.9268 0.3756 82.759 1.4867 0.1874 0.1859
228 1.8086 -1.2102 0.8994 0.032 4,859,179 20.451 2.849 160.786 158.48 -0.9443 0.3291 84.252 1.4905 0.1493 0.1485
229 1.7968 -1.1788 0.8897 0.033 4,915,993 20.609 2.860 163.646 161.30 -0.9595 0.2816 85.751 1.4943 0.1107 0.1104
230 1.7850 -1.1474 0.8789 0.033 4,972,959 20.767 2.871 166.518 164.13 -0.9724 0.2331 87.255 1.4981 0.0717 0.0717
231 1.7731 -1.1159 0.8672 0.034 5,029,666 20.926 2.882 169.400 166.97 -0.9829 0.1840 88.765 1.5020 0.0324 0.0324
232 1.7613 -1.0843 0.8545 0.034 5,085,724 21.087 2.892 172.292 169.82 -0.9910 0.1341 90.281 1.5059 -0.0074 -0.0074
233 1.7494 -1.0528 0.8408 0.034 5,140,773 21.248 2.901 175.193 172.68 -0.9965 0.0838 91.801 1.5099 -0.0475 -0.0474
234 1.7375 -1.0213 0.8262 0.035 5,194,473 21.411 2.909 178.102 175.55 -0.9995 0.0331 93.325 1.5139 -0.0878 -0.0877
235 1.7257 -0.9898 0.8108 0.035 5,246,513 21.574 2.916 181.018 178.42 -0.9998 -0.0178 94.853 1.5179 -0.1284 -0.1280
236 1.7138 -0.9584 0.7945 0.035 5,296,605 21.738 2.922 183.939 181.30 -0.9976 -0.0687 96.384 1.5219 -0.1692 -0.1682
237 1.7020 -0.9270 0.7774 0.036 5,344,487 21.903 2.926 186.865 184.18 -0.9928 -0.1195 97.917 1.5259 -0.2102 -0.2082
238 1.6902 -0.8957 0.7596 0.036 5,389,921 22.068 2.929 189.794 187.07 -0.9854 -0.1701 99.452 1.5300 -0.2513 -0.2478
239 1.6785 -0.8645 0.7410 0.036 5,432,691 22.234 2.930 192.724 189.96 -0.9754 -0.2202 100.987 1.5341 -0.2924 -0.2870
240 1.6668 -0.8334 0.7217 0.037 5,472,604 22.400 2.929 195.653 192.85 -0.9629 -0.2698 102.522 1.5381 -0.3335 -0.3256
Given2YrCy

1+e×cos(ν)
Rνcos(ν)Rνsin(ν)(ΔX²+ΔY²)Δd(AU) × 
149,597,870.7km
(

Rν
-μ

aC
)
Δd

Vν
Σt
t×0.9856°

day
cos(νE)sin(νE)
t×0.5240°

day
Mars

1+e×cos(ν)
RMcos(νM)RMsin(νM)
241 1.6551 -0.8024 0.7018 0.037 5,509,486 22.567 2.927 198.581 195.73 -0.9479 -0.3186 104.056 1.5422 -0.3745 -0.3633
242 1.6435 -0.7716 0.6813 0.037 5,543,187 22.734 2.924 201.504 198.61 -0.9304 -0.3666 105.588 1.5462 -0.4155 -0.4002
243 1.6319 -0.7409 0.6601 0.037 5,573,573 22.902 2.918 204.422 201.49 -0.9105 -0.4135 107.117 1.5502 -0.4563 -0.4361
244 1.6204 -0.7104 0.6385 0.037 5,600,530 23.069 2.911 207.333 204.36 -0.8883 -0.4592 108.643 1.5542 -0.4968 -0.4708
245 1.6090 -0.6800 0.6163 0.038 5,623,960 23.237 2.902 210.235 207.22 -0.8640 -0.5036 110.163 1.5582 -0.5371 -0.5042
246 1.5977 -0.6498 0.5936 0.038 5,643,782 23.405 2.891 213.127 210.07 -0.8375 -0.5465 111.678 1.5621 -0.5771 -0.5362
247 1.5864 -0.6198 0.5706 0.038 5,659,929 23.574 2.879 216.006 212.91 -0.8090 -0.5879 113.187 1.5660 -0.6166 -0.5668
248 1.5752 -0.5901 0.5471 0.038 5,672,350 23.742 2.865 218.871 215.73 -0.7786 -0.6276 114.688 1.5699 -0.6557 -0.5958
249 1.5640 -0.5605 0.5233 0.038 5,681,005 23.910 2.849 221.719 218.54 -0.7464 -0.6655 116.181 1.5737 -0.6943 -0.6231
250 1.5530 -0.5311 0.4991 0.038 5,685,869 24.078 2.832 224.551 221.33 -0.7126 -0.7015 117.665 1.5775 -0.7324 -0.6487
251 1.5420 -0.5020 0.4747 0.038 5,686,928 24.246 2.812 227.363 224.10 -0.6773 -0.7357 119.138 1.5812 -0.7699 -0.6725
252 1.5311 -0.4731 0.4500 0.038 5,684,178 24.414 2.792 230.155 226.85 -0.6407 -0.7678 120.601 1.5848 -0.8068 -0.6944
253 1.5204 -0.4445 0.4251 0.038 5,677,625 24.582 2.769 232.925 229.58 -0.6029 -0.7978 122.052 1.5884 -0.8429 -0.7145
254 1.5097 -0.4161 0.4000 0.038 5,667,287 24.749 2.746 235.670 232.29 -0.5640 -0.8258 123.491 1.5919 -0.8784 -0.7326
255 1.4991 -0.3880 0.3748 0.038 5,653,188 24.917 2.721 238.391 234.97 -0.5241 -0.8516 124.917 1.5953 -0.9131 -0.7488
νCRCCYCΔdCVΔtCTCνEEYEνMRMMYM
DegAUAUAUAUkmkm/secdaysdaysDegAUAUDegAUAUAU
256 1.4886 -0.3601 0.3494 0.038 5,635,363 25.084 2.694 241.085 237.63 -0.4835 -0.8753 126.328 1.5987 -0.9471 -0.7630
257 1.4782 -0.3325 0.3240 0.038 5,613,851 25.250 2.666 243.751 240.25 -0.4423 -0.8969 127.725 1.6019 -0.9802 -0.7753
258 1.4679 -0.3052 0.2985 0.037 5,588,701 25.416 2.637 246.387 242.85 -0.4006 -0.9163 129.107 1.6051 -1.0125 -0.7856
259 1.4577 -0.2781 0.2730 0.037 5,559,968 25.582 2.606 248.993 245.42 -0.3585 -0.9335 130.472 1.6082 -1.0439 -0.7941
260 1.4476 -0.2514 0.2476 0.037 5,527,712 25.747 2.574 251.568 247.96 -0.3162 -0.9487 131.821 1.6112 -1.0744 -0.8007
261 1.4377 -0.2249 0.2221 0.037 5,492,001 25.911 2.541 254.109 250.46 -0.2738 -0.9618 133.153 1.6141 -1.1040 -0.8054
262 1.4278 -0.1987 0.1968 0.036 5,452,906 26.075 2.508 256.617 252.94 -0.2315 -0.9728 134.467 1.6170 -1.1327 -0.8083
263 1.4181 -0.1728 0.1715 0.036 5,410,502 26.238 2.473 259.089 255.37 -0.1893 -0.9819 135.763 1.6197 -1.1605 -0.8096
264 1.4084 -0.1472 0.1464 0.036 5,364,872 26.401 2.437 261.526 257.77 -0.1474 -0.9891 137.040 1.6224 -1.1873 -0.8091
265 1.3989 -0.1219 0.1215 0.036 5,316,099 26.563 2.400 263.926 260.14 -0.1058 -0.9944 138.297 1.6249 -1.2132 -0.8071
266 1.3895 -0.0969 0.0967 0.035 5,264,273 26.724 2.362 266.288 262.47 -0.0647 -0.9979 139.535 1.6274 -1.2381 -0.8035
267 1.3802 -0.0722 0.0721 0.035 5,209,487 26.885 2.323 268.611 264.76 -0.0242 -0.9997 140.752 1.6297 -1.2621 -0.7985
268 1.3710 -0.0478 0.0478 0.034 5,151,834 27.044 2.284 270.895 267.01 0.0156 -0.9999 141.949 1.6320 -1.2852 -0.7921
269 1.3619 -0.0238 0.0238 0.034 5,091,414 27.203 2.244 273.139 269.22 0.0548 -0.9985 143.125 1.6342 -1.3073 -0.7845
270 1.3530 0.0000 0.0000 0.034 5,028,327 27.361 2.204 275.343 271.39 0.0931 -0.9957 144.280 1.6363 -1.3285 -0.7756
Given2YrCy

1+e×cos(ν)
Rνcos(ν)Rνsin(ν)(ΔX²+ΔY²)Δd(AU) × 
149,597,870.7km
(

Rν
-μ

aC
)
Δd

Vν
Σt
t×0.9856°

day
cos(νE)sin(νE)
t×0.5240°

day
Mars

1+e×cos(ν)
RMcos(νM)RMsin(νM)
271 1.3442 0.0235 -0.0235 0.033 4,962,678 27.518 2.162 277.505 273.52 0.1306 -0.9914 145.413 1.6383 -1.3487 -0.7656
272 1.3355 0.0466 -0.0466 0.033 4,894,572 27.674 2.121 279.626 275.61 0.1672 -0.9859 146.524 1.6402 -1.3681 -0.7546
273 1.3269 0.0694 -0.0693 0.032 4,824,117 27.829 2.079 281.705 277.66 0.2029 -0.9792 147.613 1.6420 -1.3866 -0.7427
274 1.3184 0.0920 -0.0917 0.032 4,751,424 27.983 2.036 283.741 279.67 0.2375 -0.9714 148.680 1.6438 -1.4042 -0.7299
275 1.3100 0.1142 -0.1137 0.031 4,676,605 28.136 1.993 285.734 281.63 0.2712 -0.9625 149.724 1.6454 -1.4210 -0.7164
276 1.3018 0.1361 -0.1353 0.031 4,599,774 28.288 1.950 287.684 283.56 0.3038 -0.9527 150.746 1.6470 -1.4369 -0.7022
277 1.2936 0.1577 -0.1565 0.030 4,521,046 28.439 1.906 289.590 285.44 0.3353 -0.9421 151.745 1.6485 -1.4521 -0.6874
278 1.2856 0.1789 -0.1772 0.030 4,440,540 28.589 1.862 291.452 287.27 0.3657 -0.9307 152.721 1.6499 -1.4664 -0.6721
279 1.2777 0.1999 -0.1974 0.029 4,358,375 28.738 1.819 293.271 289.06 0.3951 -0.9186 153.674 1.6512 -1.4800 -0.6563
280 1.2700 0.2205 -0.2172 0.029 4,274,671 28.885 1.774 295.045 290.81 0.4233 -0.9060 154.604 1.6525 -1.4928 -0.6402
281 1.2623 0.2409 -0.2364 0.028 4,189,553 29.032 1.730 296.776 292.52 0.4505 -0.8928 155.510 1.6537 -1.5049 -0.6238
282 1.2548 0.2609 -0.2552 0.027 4,103,145 29.177 1.686 298.462 294.18 0.4766 -0.8791 156.394 1.6548 -1.5164 -0.6072
283 1.2474 0.2806 -0.2734 0.027 4,015,575 29.320 1.642 300.104 295.80 0.5016 -0.8651 157.254 1.6559 -1.5271 -0.5904
284 1.2401 0.3000 -0.2911 0.026 3,926,970 29.463 1.598 301.702 297.37 0.5255 -0.8508 158.092 1.6569 -1.5372 -0.5736
285 1.2329 0.3191 -0.3082 0.026 3,837,463 29.604 1.554 303.256 298.91 0.5484 -0.8362 158.906 1.6578 -1.5467 -0.5567
νCRCCYCΔdCVΔtCTCνEEYEνMRMMYM
DegAUAUAUAUkmkm/secdaysdaysDegAUAUDegAUAUAU
286 1.2258 0.3379 -0.3248 0.025 3,747,188 29.744 1.511 304.767 300.39 0.5702 -0.8215 159.698 1.6587 -1.5557 -0.5398
287 1.2188 0.3564 -0.3408 0.024 3,656,281 29.883 1.467 306.234 301.84 0.5911 -0.8066 160.467 1.6595 -1.5640 -0.5229
288 1.2120 0.3745 -0.3562 0.024 3,564,883 30.020 1.424 307.658 303.24 0.6109 -0.7917 161.213 1.6603 -1.5719 -0.5062
289 1.2053 0.3924 -0.3710 0.023 3,473,136 30.156 1.381 309.039 304.61 0.6299 -0.7767 161.936 1.6610 -1.5792 -0.4897
290 1.1986 0.4100 -0.3852 0.023 3,381,187 30.290 1.338 310.378 305.92 0.6478 -0.7618 162.638 1.6617 -1.5860 -0.4733
291 1.1921 0.4272 -0.3989 0.022 3,289,189 30.423 1.296 311.674 307.20 0.6649 -0.7469 163.317 1.6623 -1.5924 -0.4571
292 1.1858 0.4442 -0.4118 0.021 3,197,297 30.554 1.255 312.929 308.44 0.6811 -0.7322 163.975 1.6629 -1.5983 -0.4412
293 1.1795 0.4609 -0.4242 0.021 3,105,673 30.684 1.214 314.142 309.64 0.6964 -0.7176 164.611 1.6635 -1.6038 -0.4256
294 1.1733 0.4772 -0.4360 0.020 3,014,485 30.813 1.173 315.315 310.79 0.7110 -0.7032 165.225 1.6640 -1.6090 -0.4103
295 1.1673 0.4933 -0.4471 0.020 2,923,907 30.940 1.133 316.449 311.91 0.7248 -0.6890 165.819 1.6644 -1.6137 -0.3953
296 1.1613 0.5091 -0.4576 0.019 2,834,122 31.065 1.094 317.543 312.99 0.7378 -0.6750 166.392 1.6649 -1.6181 -0.3807
297 1.1555 0.5246 -0.4674 0.018 2,745,321 31.189 1.055 318.598 314.03 0.7501 -0.6613 166.945 1.6653 -1.6222 -0.3664
298 1.1498 0.5398 -0.4766 0.018 2,657,703 31.312 1.018 319.616 315.03 0.7617 -0.6479 167.479 1.6657 -1.6260 -0.3525
299 1.1442 0.5547 -0.4851 0.017 2,571,480 31.432 0.981 320.597 316.00 0.7727 -0.6348 167.993 1.6660 -1.6296 -0.3390
300 1.1386 0.5693 -0.4930 0.017 2,486,871 31.551 0.945 321.542 316.93 0.7831 -0.6219 168.488 1.6663 -1.6328 -0.3259
Given2YrCy

1+e×cos(ν)
Rνcos(ν)Rνsin(ν)(ΔX²+ΔY²)Δd(AU) × 
149,597,870.7km
(

Rν
-μ

aC
)
Δd

Vν
Σt
t×0.9856°

day
cos(νE)sin(νE)
t×0.5240°

day
Mars

1+e×cos(ν)
RMcos(νM)RMsin(νM)
301 1.1332 0.5837 -0.5003 0.016 2,404,113 31.669 0.910 322.452 317.83 0.7928 -0.6094 168.965 1.6666 -1.6358 -0.3131
302 1.1280 0.5977 -0.5069 0.016 2,323,450 31.785 0.877 323.329 318.69 0.8021 -0.5972 169.424 1.6669 -1.6386 -0.3007
303 1.1228 0.6115 -0.5129 0.015 2,245,142 31.899 0.844 324.173 319.52 0.8108 -0.5853 169.866 1.6671 -1.6411 -0.2887
304 1.1177 0.6250 -0.5182 0.015 2,169,464 32.011 0.813 324.985 320.32 0.8190 -0.5738 170.292 1.6674 -1.6435 -0.2771
305 1.1127 0.6382 -0.5228 0.014 2,096,703 32.122 0.783 325.768 321.09 0.8268 -0.5625 170.702 1.6676 -1.6457 -0.2659
306 1.1078 0.6512 -0.5268 0.014 2,027,156 32.231 0.754 326.522 321.84 0.8341 -0.5516 171.098 1.6678 -1.6477 -0.2550
307 1.1031 0.6638 -0.5302 0.013 1,961,134 32.338 0.727 327.249 322.55 0.8410 -0.5410 171.479 1.6680 -1.6496 -0.2444
308 1.0984 0.6762 -0.5329 0.013 1,898,955 32.444 0.702 327.951 323.25 0.8476 -0.5306 171.846 1.6681 -1.6513 -0.2342
309 1.0938 0.6884 -0.5350 0.012 1,840,938 32.547 0.678 328.629 323.91 0.8538 -0.5206 172.202 1.6683 -1.6529 -0.2243
310 1.0894 0.7002 -0.5364 0.012 1,787,400 32.649 0.656 329.286 324.56 0.8597 -0.5108 172.546 1.6685 -1.6544 -0.2146
311 1.0850 0.7118 -0.5372 0.012 1,738,649 32.750 0.637 329.922 325.19 0.8653 -0.5012 172.879 1.6686 -1.6557 -0.2052
312 1.0807 0.7232 -0.5374 0.011 1,694,971 32.848 0.619 330.541 325.80 0.8707 -0.4918 173.203 1.6687 -1.6570 -0.1961
313 1.0766 0.7342 -0.5370 0.011 1,656,624 32.945 0.603 331.144 326.39 0.8758 -0.4826 173.519 1.6688 -1.6582 -0.1872
314 1.0725 0.7450 -0.5359 0.011 1,623,822 33.039 0.589 331.733 326.97 0.8808 -0.4736 173.828 1.6689 -1.6593 -0.1784
315 1.0685 0.7556 -0.5343 0.011 1,596,727 33.132 0.578 332.311 327.54 0.8855 -0.4647 174.131 1.6690 -1.6603 -0.1698
νCRCCYCΔdCVΔtCTCνEEYEνMRMMYM
DegAUAUAUAUkmkm/secdaysdaysDegAUAUDegAUAUAU
316 1.0647 0.7659 -0.5320 0.011 1,575,437 33.223 0.569 332.880 328.10 0.8901 -0.4559 174.429 1.6691 -1.6612 -0.1613
317 1.0609 0.7759 -0.5291 0.010 1,559,977 33.312 0.562 333.441 328.66 0.8945 -0.4471 174.723 1.6692 -1.6621 -0.1529
318 1.0572 0.7857 -0.5257 0.010 1,550,297 33.400 0.557 333.998 329.21 0.8988 -0.4384 175.015 1.6693 -1.6630 -0.1445
319 1.0536 0.7952 -0.5217 0.010 1,546,267 33.485 0.554 334.552 329.75 0.9030 -0.4297 175.305 1.6694 -1.6638 -0.1362
320 1.0501 0.8044 -0.5171 0.010 1,547,684 33.568 0.553 335.104 330.30 0.9071 -0.4210 175.595 1.6695 -1.6645 -0.1279
321 1.0467 0.8135 -0.5119 0.010 1,554,277 33.650 0.554 335.658 330.84 0.9111 -0.4122 175.885 1.6695 -1.6652 -0.1195
322 1.0434 0.8222 -0.5062 0.010 1,565,717 33.730 0.557 336.215 331.39 0.9151 -0.4033 176.177 1.6696 -1.6659 -0.1111
323 1.0402 0.8308 -0.5000 0.011 1,581,633 33.807 0.561 336.776 331.94 0.9190 -0.3943 176.471 1.6696 -1.6665 -0.1026
324 1.0371 0.8390 -0.4932 0.011 1,601,618 33.883 0.567 337.343 332.50 0.9228 -0.3852 176.768 1.6697 -1.6670 -0.0940
325 1.0341 0.8471 -0.4859 0.011 1,625,252 33.957 0.574 337.916 333.07 0.9266 -0.3760 177.068 1.6698 -1.6676 -0.0853
326 1.0311 0.8549 -0.4780 0.011 1,652,105 34.028 0.582 338.499 333.64 0.9304 -0.3665 177.373 1.6698 -1.6680 -0.0764
327 1.0283 0.8624 -0.4697 0.011 1,681,750 34.098 0.591 339.090 334.23 0.9341 -0.3569 177.683 1.6698 -1.6685 -0.0674
328 1.0256 0.8697 -0.4609 0.011 1,713,775 34.166 0.601 339.691 334.82 0.9378 -0.3471 177.998 1.6699 -1.6689 -0.0583
329 1.0229 0.8768 -0.4516 0.012 1,747,783 34.232 0.612 340.304 335.42 0.9415 -0.3370 178.319 1.6699 -1.6692 -0.0490
330 1.0203 0.8836 -0.4418 0.012 1,783,399 34.296 0.624 340.927 336.04 0.9451 -0.3268 178.646 1.6699 -1.6695 -0.0395
Given2YrCy

1+e×cos(ν)
Rνcos(ν)Rνsin(ν)(ΔX²+ΔY²)Δd(AU) × 
149,597,870.7km
(

Rν
-μ

aC
)
Δd

Vν
Σt
t×0.9856°

day
cos(νE)sin(νE)
t×0.5240°

day
Mars

1+e×cos(ν)
RMcos(νM)RMsin(νM)
331 1.0178 0.8902 -0.4316 0.012 1,820,271 34.358 0.635 341.562 336.66 0.9487 -0.3163 178.979 1.6700 -1.6697 -0.0298
332 1.0154 0.8966 -0.4209 0.012 1,858,075 34.417 0.647 342.210 337.30 0.9522 -0.3055 179.318 1.6700 -1.6699 -0.0199
333 1.0131 0.9027 -0.4098 0.013 1,896,509 34.475 0.660 342.869 337.95 0.9556 -0.2946 179.664 1.6700 -1.6700 -0.0098
334 1.0109 0.9086 -0.3983 0.013 1,935,299 34.531 0.672 343.541 338.61 0.9590 -0.2833 180.016 1.6700 -1.6700 0.0005
335 1.0088 0.9143 -0.3864 0.013 1,974,191 34.585 0.684 344.226 339.29 0.9623 -0.2718 180.374 1.6700 -1.6700 0.0109
336 1.0067 0.9197 -0.3741 0.013 2,012,957 34.636 0.697 344.923 339.97 0.9656 -0.2601 180.740 1.6700 -1.6698 0.0216
337 1.0048 0.9249 -0.3614 0.014 2,051,388 34.686 0.709 345.632 340.67 0.9687 -0.2481 181.111 1.6700 -1.6696 0.0324
338 1.0029 0.9299 -0.3483 0.014 2,089,293 34.733 0.721 346.353 341.38 0.9718 -0.2359 181.489 1.6699 -1.6694 0.0434
339 1.0011 0.9346 -0.3349 0.014 2,126,501 34.779 0.733 347.086 342.11 0.9747 -0.2235 181.873 1.6699 -1.6690 0.0546
340 0.9994 0.9391 -0.3212 0.014 2,162,856 34.822 0.745 347.831 342.84 0.9775 -0.2108 182.264 1.6699 -1.6685 0.0659
341 0.9978 0.9434 -0.3072 0.015 2,198,215 34.863 0.756 348.587 343.59 0.9802 -0.1979 182.660 1.6698 -1.6680 0.0774
342 0.9963 0.9475 -0.2928 0.015 2,232,451 34.902 0.767 349.354 344.34 0.9828 -0.1847 183.062 1.6697 -1.6674 0.0891
343 0.9948 0.9513 -0.2781 0.015 2,265,448 34.940 0.777 350.132 345.11 0.9852 -0.1714 183.469 1.6697 -1.6666 0.1008
344 0.9935 0.9550 -0.2632 0.015 2,297,101 34.975 0.788 350.919 345.88 0.9875 -0.1578 183.882 1.6696 -1.6657 0.1128
345 0.9922 0.9584 -0.2480 0.016 2,327,315 35.007 0.797 351.716 346.67 0.9896 -0.1441 184.299 1.6695 -1.6648 0.1248
νCRCCYCΔdCVΔtCTCνEEYEνMRMMYM
DegAUAUAUAUkmkm/secdaysdaysDegAUAUDegAUAUAU
346 0.9910 0.9615 -0.2326 0.016 2,356,004 35.038 0.806 352.523 347.47 0.9915 -0.1301 184.722 1.6694 -1.6637 0.1370
347 0.9899 0.9645 -0.2170 0.016 2,383,090 35.067 0.815 353.337 348.27 0.9932 -0.1160 185.149 1.6693 -1.6625 0.1492
348 0.9888 0.9672 -0.2011 0.016 2,408,504 35.094 0.823 354.160 349.08 0.9948 -0.1017 185.580 1.6691 -1.6612 0.1615
349 0.9879 0.9697 -0.1850 0.016 2,432,184 35.118 0.830 354.991 349.90 0.9962 -0.0873 186.015 1.6690 -1.6598 0.1739
350 0.9870 0.9720 -0.1688 0.016 2,454,073 35.140 0.837 355.828 350.72 0.9974 -0.0727 186.454 1.6688 -1.6583 0.1864
351 0.9862 0.9741 -0.1524 0.017 2,474,120 35.161 0.844 356.672 351.55 0.9983 -0.0581 186.896 1.6687 -1.6566 0.1989
352 0.9856 0.9760 -0.1358 0.017 2,492,283 35.179 0.850 357.521 352.39 0.9991 -0.0432 187.341 1.6685 -1.6548 0.2115
353 0.9849 0.9776 -0.1191 0.017 2,508,521 35.195 0.855 358.376 353.23 0.9996 -0.0283 187.789 1.6683 -1.6529 0.2240
354 0.9844 0.9790 -0.1023 0.017 2,522,802 35.209 0.859 359.235 354.08 0.9999 -0.0133 188.239 1.6681 -1.6509 0.2366
355 0.9840 0.9802 -0.0854 0.017 2,535,095 35.220 0.863 360.098 354.93 1.0000 0.0017 188.692 1.6679 -1.6487 0.2492
356 0.9836 0.9812 -0.0684 0.017 2,545,376 35.230 0.866 360.965 355.79 0.9999 0.0168 189.146 1.6677 -1.6465 0.2617
357 0.9833 0.9819 -0.0514 0.017 2,553,625 35.237 0.869 361.834 356.64 0.9995 0.0320 189.601 1.6674 -1.6441 0.2742
358 0.9831 0.9825 -0.0343 0.017 2,559,825 35.243 0.871 362.705 357.50 0.9989 0.0472 190.057 1.6672 -1.6416 0.2867
359 0.9830 0.9828 -0.0172 0.017 2,563,965 35.246 0.872 363.577 358.36 0.9981 0.0624 190.514 1.6669 -1.6389 0.2991
360 0.9829 0.9829 0.0000 0.017 2,566,037 35.247 0.873 364.450 359.22 0.9970 0.0776 190.972 1.6667 -1.6362 0.3114
Given2YrCy

1+e×cos(ν)
Rνcos(ν)Rνsin(ν)(ΔX²+ΔY²)Δd(AU) × 
149,597,870.7km
(

Rν
-μ

aC
)
Δd

Vν
Σt
t×0.9856°

day
cos(νE)sin(νE)
t×0.5240°

day
Mars

1+e×cos(ν)
RMcos(νM)RMsin(νM)
2 Year OrbitCompute semi-major axis: a = T2/3 = 1.587 AU 
          For q, choose EARTH ORBIT perihelion: 
 q=  0.983 AU. 
 Sol's farthest point from 2 yr  ORBIT: Q = 2.191 AU.
R =

1 + e × Cos(ν)
e = Q-q

Q+q
= 0.380
ℓ =2×Q×q

Q + q
= 1.353 AU
Terran OrbitObserve semi-major axis: a = 1.0 AU
          OBSERVE:  Sol's nearest point to EARTH ORBIT:  
q=  0.983 AU 
 Sol's farthest point from EARTH  ORBIT: Q=1.017 AU
R =

1 + e × Cos(ν)
e =Q-q

Q+q
= 0.017
ℓ =2×Q×q

Q + q
= 0.9997 AU
Mars OrbitObserve Semi-major axis: a = 1.52 AU.
         OBSERVE: Sol's nearest point to MARS ORBIT:  
q=  1.37 AU 
 Sol's farthest point from MARS ORBIT: Q=1.67 AU
R =

1 + e × Cos(ν)
e =Q-q

Q+q
= 0.0987
ℓ =2×Q×q

Q + q
= 1.5052 AU
For this example of a resonant cycler, let T, orbital period, equal 2.0 years ( ≈ 730.5 days)
Thus, a, semi-major axis, = T2/3 = 1.587 AU 
Rν(c

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

Rν
-μ

aC
)
μ, Solar standard gravitational parameter, = 132,712,440,018 km3s−2
ALSO, can convert: μ  = 887.123 AU-km2s−2
Assume zero inclination for both orbit of Mars and orbit of Cycler.
Thus, computed positions of Earth and Mars are approximate. 
t=Δd

Vν
×day

86,400 sec







VOLUME O: ELEVATIONAL
VOLUME I: ASTEROIDAL
VOLUME II: INTERPLANETARY
VOLUME III: INTERSTELLAR




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