day = date of observation for earth crossing (decimal days) Be = sub-earth latitude on ring plane (= 0 at RPX) delta2 = Saturn-earth distance (au) owlt = one way light time, Saturn-earth (days) day = date of observation for sun crossing Bs = sub-solar latitude on ring plane (= 0 at solar RPX) delta1 = Sun-Saturn distance twlt = two-way light time, sun-Saturn-earth (days) phase = sun-Saturn-earth phase angle (deg). The two 'day' columns are because of the differing treatment of light time in the two cases. The two sets of entries could be re-interpolated to a common time scale. Note that they differ by exactly twlt. ------------------------------------------------------------------------ Rpx2000.out: 1996 Feb Pole: French etal 1993 JD 2450123.5: RA = 40.58613 DEC = 83.53714 (J2000) (includes pole offset = 0.00 0.00 arcsec) day Be delta2 owlt day Bs delta1 twlt phase 10.00000 0.10596 10.3825 0.0600 10.11521 -1.23012 9.5660 0.1152 3.185 10.04167 0.10374 10.3828 0.0600 10.15688 -1.23075 9.5660 0.1152 3.182 10.08333 0.10153 10.3832 0.0600 10.19855 -1.23137 9.5660 0.1152 3.179 10.12500 0.09931 10.3836 0.0600 10.24022 -1.23199 9.5660 0.1152 3.176 10.16667 0.09709 10.3839 0.0600 10.28189 -1.23261 9.5660 0.1152 3.172 10.20833 0.09487 10.3843 0.0600 10.32355 -1.23324 9.5660 0.1152 3.169 10.25000 0.09266 10.3847 0.0600 10.36523 -1.23386 9.5660 0.1152 3.166 10.29167 0.09044 10.3850 0.0600 10.40690 -1.23448 9.5660 0.1152 3.163 10.33333 0.08822 10.3854 0.0600 10.44856 -1.23510 9.5659 0.1152 3.159 10.37500 0.08600 10.3858 0.0600 10.49023 -1.23573 9.5659 0.1152 3.156 10.41667 0.08378 10.3862 0.0600 10.53190 -1.23635 9.5659 0.1152 3.153 10.45833 0.08156 10.3865 0.0600 10.57357 -1.23697 9.5659 0.1152 3.150 10.50000 0.07933 10.3869 0.0600 10.61524 -1.23760 9.5659 0.1152 3.147 10.54167 0.07711 10.3873 0.0600 10.65691 -1.23822 9.5659 0.1152 3.143 10.58333 0.07489 10.3876 0.0600 10.69857 -1.23884 9.5659 0.1152 3.140 10.62500 0.07267 10.3880 0.0600 10.74024 -1.23946 9.5659 0.1152 3.137 10.66667 0.07044 10.3884 0.0600 10.78192 -1.24009 9.5658 0.1152 3.134 10.70833 0.06822 10.3887 0.0600 10.82358 -1.24071 9.5658 0.1152 3.130 10.75000 0.06599 10.3891 0.0600 10.86525 -1.24133 9.5658 0.1152 3.127 10.79167 0.06377 10.3895 0.0600 10.90692 -1.24195 9.5658 0.1153 3.124 10.83333 0.06154 10.3898 0.0600 10.94858 -1.24258 9.5658 0.1153 3.121 10.87500 0.05932 10.3902 0.0600 10.99026 -1.24320 9.5658 0.1153 3.117 10.91667 0.05709 10.3905 0.0600 11.03193 -1.24382 9.5658 0.1153 3.114 10.95833 0.05486 10.3909 0.0600 11.07359 -1.24444 9.5658 0.1153 3.111 11.00000 0.05264 10.3913 0.0600 11.11526 -1.24507 9.5657 0.1153 3.107 11.04167 0.05041 10.3916 0.0600 11.15693 -1.24569 9.5657 0.1153 3.104 11.08333 0.04818 10.3920 0.0600 11.19860 -1.24631 9.5657 0.1153 3.101 11.12500 0.04595 10.3924 0.0600 11.24027 -1.24694 9.5657 0.1153 3.098 11.16667 0.04372 10.3927 0.0600 11.28194 -1.24756 9.5657 0.1153 3.094 11.20833 0.04149 10.3931 0.0600 11.32360 -1.24818 9.5657 0.1153 3.091 11.25000 0.03926 10.3934 0.0600 11.36527 -1.24880 9.5657 0.1153 3.088 11.29167 0.03703 10.3938 0.0600 11.40695 -1.24943 9.5657 0.1153 3.085 11.33333 0.03480 10.3942 0.0600 11.44861 -1.25005 9.5656 0.1153 3.081 11.37500 0.03257 10.3945 0.0600 11.49028 -1.25067 9.5656 0.1153 3.078 11.41667 0.03034 10.3949 0.0600 11.53195 -1.25129 9.5656 0.1153 3.075 11.45833 0.02810 10.3952 0.0600 11.57361 -1.25192 9.5656 0.1153 3.072 11.50000 0.02587 10.3956 0.0600 11.61529 -1.25254 9.5656 0.1153 3.068 11.54167 0.02364 10.3960 0.0600 11.65696 -1.25316 9.5656 0.1153 3.065 11.58333 0.02140 10.3963 0.0600 11.69862 -1.25378 9.5656 0.1153 3.062 11.62500 0.01917 10.3967 0.0600 11.74029 -1.25441 9.5656 0.1153 3.058 11.66667 0.01693 10.3970 0.0600 11.78196 -1.25503 9.5656 0.1153 3.055 11.70833 0.01470 10.3974 0.0601 11.82363 -1.25565 9.5655 0.1153 3.052 11.75000 0.01246 10.3977 0.0601 11.86530 -1.25628 9.5655 0.1153 3.049 11.79167 0.01022 10.3981 0.0601 11.90697 -1.25690 9.5655 0.1153 3.045 11.83333 0.00799 10.3984 0.0601 11.94863 -1.25752 9.5655 0.1153 3.042 11.87500 0.00575 10.3988 0.0601 11.99030 -1.25814 9.5655 0.1153 3.039 11.91667 0.00351 10.3992 0.0601 12.03198 -1.25877 9.5655 0.1153 3.035 11.95833 0.00127 10.3995 0.0601 12.07364 -1.25939 9.5655 0.1153 3.032 12.00000 -0.00097 10.3999 0.0601 12.11531 -1.26001 9.5655 0.1153 3.029 12.04167 -0.00321 10.4002 0.0601 12.15698 -1.26063 9.5654 0.1153 3.026 12.08333 -0.00545 10.4006 0.0601 12.19864 -1.26126 9.5654 0.1153 3.022 12.12500 -0.00769 10.4009 0.0601 12.24032 -1.26188 9.5654 0.1153 3.019 12.16667 -0.00993 10.4013 0.0601 12.28199 -1.26250 9.5654 0.1153 3.016 12.20833 -0.01217 10.4016 0.0601 12.32365 -1.26313 9.5654 0.1153 3.012 12.25000 -0.01441 10.4020 0.0601 12.36532 -1.26375 9.5654 0.1153 3.009 12.29167 -0.01665 10.4023 0.0601 12.40699 -1.26437 9.5654 0.1153 3.006 12.33333 -0.01890 10.4027 0.0601 12.44866 -1.26499 9.5654 0.1153 3.003 12.37500 -0.02114 10.4030 0.0601 12.49033 -1.26562 9.5653 0.1153 2.999 12.41667 -0.02338 10.4034 0.0601 12.53200 -1.26624 9.5653 0.1153 2.996 12.45833 -0.02563 10.4037 0.0601 12.57366 -1.26686 9.5653 0.1153 2.993 12.50000 -0.02787 10.4041 0.0601 12.61533 -1.26748 9.5653 0.1153 2.989 12.54167 -0.03012 10.4044 0.0601 12.65701 -1.26811 9.5653 0.1153 2.986 12.58333 -0.03236 10.4048 0.0601 12.69867 -1.26873 9.5653 0.1153 2.983 12.62500 -0.03461 10.4051 0.0601 12.74034 -1.26935 9.5653 0.1153 2.979 12.66667 -0.03685 10.4055 0.0601 12.78201 -1.26998 9.5653 0.1153 2.976 12.70833 -0.03910 10.4058 0.0601 12.82367 -1.27060 9.5652 0.1153 2.973 12.75000 -0.04135 10.4062 0.0601 12.86535 -1.27122 9.5652 0.1153 2.969 12.79167 -0.04360 10.4065 0.0601 12.90702 -1.27184 9.5652 0.1153 2.966 12.83333 -0.04584 10.4069 0.0601 12.94868 -1.27247 9.5652 0.1153 2.963 12.87500 -0.04809 10.4072 0.0601 12.99035 -1.27309 9.5652 0.1154 2.960 12.91667 -0.05034 10.4075 0.0601 13.03202 -1.27371 9.5652 0.1154 2.956 12.95833 -0.05259 10.4079 0.0601 13.07368 -1.27433 9.5652 0.1154 2.953 13.00000 -0.05484 10.4082 0.0601 13.11536 -1.27496 9.5652 0.1154 2.950 13.04167 -0.05709 10.4086 0.0601 13.15703 -1.27558 9.5652 0.1154 2.946 13.08333 -0.05934 10.4089 0.0601 13.19869 -1.27620 9.5651 0.1154 2.943 13.12500 -0.06159 10.4093 0.0601 13.24036 -1.27683 9.5651 0.1154 2.940 13.16667 -0.06385 10.4096 0.0601 13.28203 -1.27745 9.5651 0.1154 2.936 13.20833 -0.06610 10.4099 0.0601 13.32370 -1.27807 9.5651 0.1154 2.933 13.25000 -0.06835 10.4103 0.0601 13.36537 -1.27869 9.5651 0.1154 2.930 13.29167 -0.07061 10.4106 0.0601 13.40704 -1.27932 9.5651 0.1154 2.926 13.33333 -0.07286 10.4110 0.0601 13.44870 -1.27994 9.5651 0.1154 2.923 13.37500 -0.07511 10.4113 0.0601 13.49037 -1.28056 9.5651 0.1154 2.920 13.41667 -0.07737 10.4117 0.0601 13.53205 -1.28118 9.5650 0.1154 2.916 13.45833 -0.07962 10.4120 0.0601 13.57371 -1.28181 9.5650 0.1154 2.913 13.50000 -0.08188 10.4123 0.0601 13.61538 -1.28243 9.5650 0.1154 2.910 13.54167 -0.08413 10.4127 0.0601 13.65705 -1.28305 9.5650 0.1154 2.906 13.58333 -0.08639 10.4130 0.0601 13.69871 -1.28368 9.5650 0.1154 2.903 13.62500 -0.08865 10.4134 0.0601 13.74039 -1.28430 9.5650 0.1154 2.900 13.66667 -0.09091 10.4137 0.0601 13.78206 -1.28492 9.5650 0.1154 2.896 13.70833 -0.09316 10.4140 0.0601 13.82372 -1.28554 9.5650 0.1154 2.893 13.75000 -0.09542 10.4144 0.0601 13.86539 -1.28617 9.5649 0.1154 2.890 13.79167 -0.09768 10.4147 0.0602 13.90706 -1.28679 9.5649 0.1154 2.886 13.83333 -0.09994 10.4150 0.0602 13.94872 -1.28741 9.5649 0.1154 2.883 13.87500 -0.10220 10.4154 0.0602 13.99040 -1.28803 9.5649 0.1154 2.880 13.91667 -0.10446 10.4157 0.0602 14.03207 -1.28866 9.5649 0.1154 2.876 13.95833 -0.10672 10.4160 0.0602 14.07373 -1.28928 9.5649 0.1154 2.873 14.00000 -0.10898 10.4164 0.0602 14.11540 -1.28990 9.5649 0.1154 2.870 Earth crossing near day 11.98201 Earth crossing at day 11.98201