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: 1995 May Pole: French etal 1993 JD 2449857.5: RA = 40.58658 DEC = 83.53718 (J2000) (includes pole offset = 0.00 0.00 arcsec) day Be delta2 owlt day Bs delta1 twlt phase 20.00000 0.06709 10.0165 0.0579 20.11354 2.71162 9.6426 0.1135 5.484 20.04167 0.06580 10.0158 0.0578 20.15521 2.71101 9.6426 0.1135 5.485 20.08333 0.06452 10.0152 0.0578 20.19686 2.71040 9.6426 0.1135 5.487 20.12500 0.06323 10.0146 0.0578 20.23853 2.70979 9.6426 0.1135 5.489 20.16667 0.06195 10.0139 0.0578 20.28020 2.70918 9.6426 0.1135 5.490 20.20833 0.06067 10.0133 0.0578 20.32185 2.70857 9.6425 0.1135 5.492 20.25000 0.05938 10.0127 0.0578 20.36352 2.70796 9.6425 0.1135 5.493 20.29167 0.05810 10.0120 0.0578 20.40519 2.70734 9.6425 0.1135 5.495 20.33333 0.05682 10.0114 0.0578 20.44684 2.70673 9.6425 0.1135 5.497 20.37500 0.05554 10.0108 0.0578 20.48851 2.70612 9.6425 0.1135 5.498 20.41667 0.05427 10.0102 0.0578 20.53017 2.70551 9.6425 0.1135 5.500 20.45833 0.05299 10.0095 0.0578 20.57183 2.70490 9.6425 0.1135 5.502 20.50000 0.05171 10.0089 0.0578 20.61350 2.70429 9.6425 0.1135 5.503 20.54167 0.05044 10.0083 0.0578 20.65516 2.70368 9.6425 0.1135 5.505 20.58333 0.04917 10.0076 0.0578 20.69682 2.70307 9.6424 0.1135 5.507 20.62500 0.04789 10.0070 0.0578 20.73849 2.70246 9.6424 0.1135 5.508 20.66667 0.04662 10.0064 0.0578 20.78015 2.70185 9.6424 0.1135 5.510 20.70833 0.04535 10.0057 0.0578 20.82181 2.70124 9.6424 0.1135 5.512 20.75000 0.04408 10.0051 0.0578 20.86347 2.70063 9.6424 0.1135 5.513 20.79167 0.04282 10.0045 0.0578 20.90514 2.70002 9.6424 0.1135 5.515 20.83333 0.04155 10.0038 0.0578 20.94680 2.69941 9.6424 0.1135 5.516 20.87500 0.04029 10.0032 0.0578 20.98846 2.69880 9.6424 0.1135 5.518 20.91667 0.03902 10.0025 0.0578 21.03013 2.69819 9.6423 0.1135 5.520 20.95833 0.03776 10.0019 0.0578 21.07179 2.69758 9.6423 0.1135 5.521 21.00000 0.03650 10.0013 0.0578 21.11345 2.69697 9.6423 0.1135 5.523 21.04167 0.03523 10.0006 0.0578 21.15512 2.69636 9.6423 0.1134 5.525 21.08333 0.03397 10.0000 0.0578 21.19677 2.69575 9.6423 0.1134 5.526 21.12500 0.03272 9.9994 0.0578 21.23844 2.69514 9.6423 0.1134 5.528 21.16667 0.03146 9.9987 0.0577 21.28011 2.69453 9.6423 0.1134 5.529 21.20833 0.03020 9.9981 0.0577 21.32176 2.69392 9.6423 0.1134 5.531 21.25000 0.02895 9.9975 0.0577 21.36343 2.69330 9.6422 0.1134 5.533 21.29167 0.02769 9.9968 0.0577 21.40510 2.69269 9.6422 0.1134 5.534 21.33333 0.02644 9.9962 0.0577 21.44675 2.69208 9.6422 0.1134 5.536 21.37500 0.02519 9.9956 0.0577 21.48842 2.69147 9.6422 0.1134 5.537 21.41667 0.02393 9.9949 0.0577 21.53008 2.69086 9.6422 0.1134 5.539 21.45833 0.02268 9.9943 0.0577 21.57174 2.69025 9.6422 0.1134 5.541 21.50000 0.02144 9.9936 0.0577 21.61341 2.68964 9.6422 0.1134 5.542 21.54167 0.02019 9.9930 0.0577 21.65507 2.68903 9.6422 0.1134 5.544 21.58333 0.01894 9.9924 0.0577 21.69673 2.68842 9.6422 0.1134 5.545 21.62500 0.01770 9.9917 0.0577 21.73840 2.68781 9.6421 0.1134 5.547 21.66667 0.01645 9.9911 0.0577 21.78006 2.68720 9.6421 0.1134 5.548 21.70833 0.01521 9.9905 0.0577 21.82172 2.68659 9.6421 0.1134 5.550 21.75000 0.01397 9.9898 0.0577 21.86338 2.68598 9.6421 0.1134 5.552 21.79167 0.01272 9.9892 0.0577 21.90505 2.68537 9.6421 0.1134 5.553 21.83333 0.01149 9.9885 0.0577 21.94671 2.68476 9.6421 0.1134 5.555 21.87500 0.01025 9.9879 0.0577 21.98837 2.68415 9.6421 0.1134 5.556 21.91667 0.00901 9.9873 0.0577 22.03004 2.68354 9.6421 0.1134 5.558 21.95833 0.00777 9.9866 0.0577 22.07170 2.68293 9.6420 0.1134 5.559 22.00000 0.00654 9.9860 0.0577 22.11336 2.68232 9.6420 0.1134 5.561 22.04167 0.00530 9.9853 0.0577 22.15503 2.68171 9.6420 0.1134 5.563 22.08333 0.00407 9.9847 0.0577 22.19668 2.68110 9.6420 0.1134 5.564 22.12500 0.00284 9.9841 0.0577 22.23835 2.68048 9.6420 0.1134 5.566 22.16667 0.00161 9.9834 0.0577 22.28002 2.67987 9.6420 0.1133 5.567 22.20833 0.00038 9.9828 0.0577 22.32167 2.67926 9.6420 0.1133 5.569 22.25000 -0.00085 9.9821 0.0577 22.36334 2.67865 9.6420 0.1133 5.570 22.29167 -0.00208 9.9815 0.0576 22.40501 2.67804 9.6420 0.1133 5.572 22.33333 -0.00331 9.9809 0.0576 22.44666 2.67743 9.6419 0.1133 5.573 22.37500 -0.00453 9.9802 0.0576 22.48833 2.67682 9.6419 0.1133 5.575 22.41667 -0.00576 9.9796 0.0576 22.52999 2.67621 9.6419 0.1133 5.576 22.45833 -0.00698 9.9789 0.0576 22.57165 2.67560 9.6419 0.1133 5.578 22.50000 -0.00820 9.9783 0.0576 22.61332 2.67499 9.6419 0.1133 5.580 22.54167 -0.00942 9.9777 0.0576 22.65498 2.67438 9.6419 0.1133 5.581 22.58333 -0.01064 9.9770 0.0576 22.69664 2.67377 9.6419 0.1133 5.583 22.62500 -0.01186 9.9764 0.0576 22.73831 2.67316 9.6419 0.1133 5.584 22.66667 -0.01308 9.9757 0.0576 22.77997 2.67255 9.6418 0.1133 5.586 22.70833 -0.01429 9.9751 0.0576 22.82163 2.67194 9.6418 0.1133 5.587 22.75000 -0.01551 9.9744 0.0576 22.86329 2.67133 9.6418 0.1133 5.589 22.79167 -0.01672 9.9738 0.0576 22.90496 2.67072 9.6418 0.1133 5.590 22.83333 -0.01794 9.9732 0.0576 22.94662 2.67011 9.6418 0.1133 5.592 22.87500 -0.01915 9.9725 0.0576 22.98828 2.66949 9.6418 0.1133 5.593 22.91667 -0.02036 9.9719 0.0576 23.02995 2.66888 9.6418 0.1133 5.595 22.95833 -0.02157 9.9712 0.0576 23.07161 2.66827 9.6418 0.1133 5.596 23.00000 -0.02278 9.9706 0.0576 23.11327 2.66766 9.6418 0.1133 5.598 23.04167 -0.02399 9.9699 0.0576 23.15494 2.66705 9.6417 0.1133 5.599 23.08333 -0.02519 9.9693 0.0576 23.19659 2.66644 9.6417 0.1133 5.601 23.12500 -0.02640 9.9687 0.0576 23.23826 2.66583 9.6417 0.1133 5.602 23.16667 -0.02760 9.9680 0.0576 23.27993 2.66522 9.6417 0.1133 5.604 23.20833 -0.02880 9.9674 0.0576 23.32158 2.66461 9.6417 0.1133 5.605 23.25000 -0.03000 9.9667 0.0576 23.36325 2.66400 9.6417 0.1132 5.607 23.29167 -0.03121 9.9661 0.0576 23.40491 2.66339 9.6417 0.1132 5.608 23.33333 -0.03240 9.9654 0.0576 23.44657 2.66278 9.6417 0.1132 5.610 23.37500 -0.03360 9.9648 0.0576 23.48824 2.66217 9.6416 0.1132 5.611 23.41667 -0.03480 9.9641 0.0575 23.52990 2.66156 9.6416 0.1132 5.613 23.45833 -0.03600 9.9635 0.0575 23.57156 2.66095 9.6416 0.1132 5.614 23.50000 -0.03719 9.9629 0.0575 23.61323 2.66034 9.6416 0.1132 5.616 23.54167 -0.03838 9.9622 0.0575 23.65489 2.65973 9.6416 0.1132 5.617 23.58333 -0.03958 9.9616 0.0575 23.69655 2.65911 9.6416 0.1132 5.619 23.62500 -0.04077 9.9609 0.0575 23.73821 2.65850 9.6416 0.1132 5.620 23.66667 -0.04196 9.9603 0.0575 23.77988 2.65789 9.6416 0.1132 5.622 23.70833 -0.04315 9.9596 0.0575 23.82154 2.65728 9.6416 0.1132 5.623 23.75000 -0.04434 9.9590 0.0575 23.86320 2.65667 9.6415 0.1132 5.624 23.79167 -0.04552 9.9583 0.0575 23.90487 2.65606 9.6415 0.1132 5.626 23.83333 -0.04671 9.9577 0.0575 23.94653 2.65545 9.6415 0.1132 5.627 23.87500 -0.04789 9.9570 0.0575 23.98819 2.65484 9.6415 0.1132 5.629 23.91667 -0.04908 9.9564 0.0575 24.02986 2.65423 9.6415 0.1132 5.630 23.95833 -0.05026 9.9557 0.0575 24.07151 2.65362 9.6415 0.1132 5.632 24.00000 -0.05144 9.9551 0.0575 24.11318 2.65301 9.6415 0.1132 5.633 Earth crossing near day 22.22108 Earth crossing at day 22.22108