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 August Pole: French etal 1993 JD 2449938.5: RA = 40.58644 DEC = 83.53717 (J2000) (includes pole offset = 0.00 0.00 arcsec) day Be delta2 owlt day Bs delta1 twlt phase 9.00000 -0.05205 8.7996 0.0508 9.10638 1.52011 9.6195 0.1064 3.715 9.04167 -0.05091 8.7991 0.0508 9.14805 1.51950 9.6195 0.1064 3.711 9.08333 -0.04977 8.7987 0.0508 9.18970 1.51888 9.6195 0.1064 3.708 9.12500 -0.04863 8.7983 0.0508 9.23137 1.51827 9.6195 0.1064 3.704 9.16667 -0.04749 8.7979 0.0508 9.27304 1.51765 9.6195 0.1064 3.701 9.20833 -0.04635 8.7974 0.0508 9.31470 1.51703 9.6195 0.1064 3.697 9.25000 -0.04520 8.7970 0.0508 9.35636 1.51642 9.6194 0.1064 3.694 9.29167 -0.04406 8.7966 0.0508 9.39803 1.51580 9.6194 0.1064 3.690 9.33333 -0.04291 8.7962 0.0508 9.43969 1.51519 9.6194 0.1064 3.687 9.37500 -0.04177 8.7958 0.0508 9.48136 1.51457 9.6194 0.1064 3.683 9.41667 -0.04062 8.7953 0.0508 9.52302 1.51396 9.6194 0.1064 3.680 9.45833 -0.03947 8.7949 0.0508 9.56468 1.51334 9.6194 0.1064 3.676 9.50000 -0.03832 8.7945 0.0508 9.60635 1.51273 9.6194 0.1063 3.672 9.54167 -0.03717 8.7941 0.0508 9.64802 1.51211 9.6194 0.1063 3.669 9.58333 -0.03602 8.7936 0.0508 9.68967 1.51150 9.6193 0.1063 3.665 9.62500 -0.03487 8.7932 0.0508 9.73134 1.51088 9.6193 0.1063 3.662 9.66667 -0.03372 8.7928 0.0508 9.77301 1.51027 9.6193 0.1063 3.658 9.70833 -0.03256 8.7924 0.0508 9.81467 1.50965 9.6193 0.1063 3.655 9.75000 -0.03141 8.7920 0.0508 9.85633 1.50904 9.6193 0.1063 3.651 9.79167 -0.03025 8.7916 0.0508 9.89800 1.50842 9.6193 0.1063 3.648 9.83333 -0.02910 8.7911 0.0508 9.93966 1.50781 9.6193 0.1063 3.644 9.87500 -0.02794 8.7907 0.0508 9.98133 1.50719 9.6193 0.1063 3.640 9.91667 -0.02678 8.7903 0.0508 10.02299 1.50657 9.6193 0.1063 3.637 9.95833 -0.02562 8.7899 0.0508 10.06465 1.50596 9.6192 0.1063 3.633 10.00000 -0.02446 8.7895 0.0508 10.10632 1.50534 9.6192 0.1063 3.630 10.04167 -0.02330 8.7891 0.0508 10.14799 1.50473 9.6192 0.1063 3.626 10.08333 -0.02214 8.7886 0.0508 10.18964 1.50411 9.6192 0.1063 3.623 10.12500 -0.02097 8.7882 0.0508 10.23131 1.50350 9.6192 0.1063 3.619 10.16667 -0.01981 8.7878 0.0508 10.27298 1.50288 9.6192 0.1063 3.615 10.20833 -0.01864 8.7874 0.0508 10.31464 1.50227 9.6192 0.1063 3.612 10.25000 -0.01748 8.7870 0.0507 10.35631 1.50165 9.6192 0.1063 3.608 10.29167 -0.01631 8.7866 0.0507 10.39797 1.50104 9.6191 0.1063 3.605 10.33333 -0.01514 8.7862 0.0507 10.43963 1.50042 9.6191 0.1063 3.601 10.37500 -0.01397 8.7857 0.0507 10.48130 1.49981 9.6191 0.1063 3.598 10.41667 -0.01281 8.7853 0.0507 10.52297 1.49919 9.6191 0.1063 3.594 10.45833 -0.01163 8.7849 0.0507 10.56462 1.49858 9.6191 0.1063 3.590 10.50000 -0.01046 8.7845 0.0507 10.60629 1.49796 9.6191 0.1063 3.587 10.54167 -0.00929 8.7841 0.0507 10.64796 1.49734 9.6191 0.1063 3.583 10.58333 -0.00812 8.7837 0.0507 10.68962 1.49673 9.6191 0.1063 3.580 10.62500 -0.00694 8.7833 0.0507 10.73128 1.49611 9.6190 0.1063 3.576 10.66667 -0.00577 8.7829 0.0507 10.77295 1.49550 9.6190 0.1063 3.572 10.70833 -0.00459 8.7825 0.0507 10.81461 1.49488 9.6190 0.1063 3.569 10.75000 -0.00341 8.7821 0.0507 10.85628 1.49427 9.6190 0.1063 3.565 10.79167 -0.00224 8.7817 0.0507 10.89794 1.49365 9.6190 0.1063 3.562 10.83333 -0.00106 8.7812 0.0507 10.93960 1.49304 9.6190 0.1063 3.558 10.87500 0.00012 8.7808 0.0507 10.98127 1.49242 9.6190 0.1063 3.554 10.91667 0.00130 8.7804 0.0507 11.02294 1.49181 9.6190 0.1063 3.551 10.95833 0.00248 8.7800 0.0507 11.06459 1.49119 9.6190 0.1063 3.547 11.00000 0.00367 8.7796 0.0507 11.10626 1.49058 9.6189 0.1063 3.543 11.04167 0.00485 8.7792 0.0507 11.14793 1.48996 9.6189 0.1063 3.540 11.08333 0.00603 8.7788 0.0507 11.18959 1.48935 9.6189 0.1063 3.536 11.12500 0.00722 8.7784 0.0507 11.23125 1.48873 9.6189 0.1063 3.533 11.16667 0.00841 8.7780 0.0507 11.27292 1.48811 9.6189 0.1063 3.529 11.20833 0.00959 8.7776 0.0507 11.31458 1.48750 9.6189 0.1062 3.525 11.25000 0.01078 8.7772 0.0507 11.35625 1.48688 9.6189 0.1062 3.522 11.29167 0.01197 8.7768 0.0507 11.39791 1.48627 9.6189 0.1062 3.518 11.33333 0.01316 8.7764 0.0507 11.43957 1.48565 9.6188 0.1062 3.514 11.37500 0.01435 8.7760 0.0507 11.48124 1.48504 9.6188 0.1062 3.511 11.41667 0.01554 8.7756 0.0507 11.52291 1.48442 9.6188 0.1062 3.507 11.45833 0.01673 8.7752 0.0507 11.56456 1.48381 9.6188 0.1062 3.504 11.50000 0.01793 8.7748 0.0507 11.60623 1.48319 9.6188 0.1062 3.500 11.54167 0.01912 8.7744 0.0507 11.64790 1.48258 9.6188 0.1062 3.496 11.58333 0.02032 8.7740 0.0507 11.68956 1.48196 9.6188 0.1062 3.493 11.62500 0.02151 8.7736 0.0507 11.73123 1.48135 9.6188 0.1062 3.489 11.66667 0.02271 8.7732 0.0507 11.77289 1.48073 9.6187 0.1062 3.485 11.70833 0.02391 8.7728 0.0507 11.81455 1.48011 9.6187 0.1062 3.482 11.75000 0.02511 8.7724 0.0507 11.85622 1.47950 9.6187 0.1062 3.478 11.79167 0.02630 8.7720 0.0507 11.89789 1.47888 9.6187 0.1062 3.474 11.83333 0.02751 8.7716 0.0507 11.93954 1.47827 9.6187 0.1062 3.471 11.87500 0.02871 8.7712 0.0507 11.98121 1.47765 9.6187 0.1062 3.467 11.91667 0.02991 8.7708 0.0507 12.02288 1.47704 9.6187 0.1062 3.463 11.95833 0.03111 8.7704 0.0507 12.06454 1.47642 9.6187 0.1062 3.460 12.00000 0.03232 8.7700 0.0507 12.10620 1.47581 9.6187 0.1062 3.456 12.04167 0.03352 8.7696 0.0506 12.14787 1.47519 9.6186 0.1062 3.452 12.08333 0.03473 8.7692 0.0506 12.18953 1.47458 9.6186 0.1062 3.449 12.12500 0.03593 8.7688 0.0506 12.23120 1.47396 9.6186 0.1062 3.445 12.16667 0.03714 8.7684 0.0506 12.27286 1.47334 9.6186 0.1062 3.441 12.20833 0.03835 8.7680 0.0506 12.31452 1.47273 9.6186 0.1062 3.438 12.25000 0.03956 8.7676 0.0506 12.35619 1.47211 9.6186 0.1062 3.434 12.29167 0.04077 8.7672 0.0506 12.39786 1.47150 9.6186 0.1062 3.430 12.33333 0.04198 8.7668 0.0506 12.43952 1.47088 9.6186 0.1062 3.427 12.37500 0.04319 8.7665 0.0506 12.48118 1.47027 9.6185 0.1062 3.423 12.41667 0.04441 8.7661 0.0506 12.52285 1.46965 9.6185 0.1062 3.419 12.45833 0.04562 8.7657 0.0506 12.56451 1.46904 9.6185 0.1062 3.415 12.50000 0.04683 8.7653 0.0506 12.60618 1.46842 9.6185 0.1062 3.412 12.54167 0.04805 8.7649 0.0506 12.64784 1.46781 9.6185 0.1062 3.408 12.58333 0.04927 8.7645 0.0506 12.68950 1.46719 9.6185 0.1062 3.404 12.62500 0.05048 8.7641 0.0506 12.73117 1.46657 9.6185 0.1062 3.401 12.66667 0.05170 8.7637 0.0506 12.77284 1.46596 9.6185 0.1062 3.397 12.70833 0.05292 8.7633 0.0506 12.81449 1.46534 9.6185 0.1062 3.393 12.75000 0.05414 8.7629 0.0506 12.85616 1.46473 9.6184 0.1062 3.390 12.79167 0.05536 8.7626 0.0506 12.89783 1.46411 9.6184 0.1062 3.386 12.83333 0.05658 8.7622 0.0506 12.93949 1.46350 9.6184 0.1062 3.382 12.87500 0.05780 8.7618 0.0506 12.98116 1.46288 9.6184 0.1062 3.378 12.91667 0.05903 8.7614 0.0506 13.02282 1.46227 9.6184 0.1062 3.375 12.95833 0.06025 8.7610 0.0506 13.06448 1.46165 9.6184 0.1062 3.371 13.00000 0.06148 8.7606 0.0506 13.10615 1.46104 9.6184 0.1061 3.367 Earth crossing near day 10.87070 Earth crossing at day 10.87070