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 Nov Pole: French etal 1993 JD 2450038.5: RA = 40.58627 DEC = 83.53715 (J2000) (includes pole offset = 0.00 0.00 arcsec) day Be delta2 owlt day Bs delta1 twlt phase 17.00000 2.67305 9.1483 0.0528 17.10823 0.03754 9.5907 0.1082 5.411 17.04167 2.67311 9.1490 0.0528 17.14990 0.03692 9.5907 0.1082 5.413 17.08333 2.67316 9.1496 0.0528 17.19156 0.03630 9.5907 0.1082 5.415 17.12500 2.67321 9.1502 0.0528 17.23324 0.03568 9.5907 0.1082 5.416 17.16667 2.67326 9.1509 0.0529 17.27491 0.03506 9.5907 0.1082 5.418 17.20833 2.67331 9.1515 0.0529 17.31658 0.03444 9.5907 0.1082 5.420 17.25000 2.67335 9.1521 0.0529 17.35825 0.03382 9.5906 0.1082 5.422 17.29167 2.67340 9.1528 0.0529 17.39992 0.03320 9.5906 0.1083 5.423 17.33333 2.67344 9.1534 0.0529 17.44159 0.03258 9.5906 0.1083 5.425 17.37500 2.67349 9.1540 0.0529 17.48326 0.03196 9.5906 0.1083 5.427 17.41667 2.67353 9.1547 0.0529 17.52493 0.03134 9.5906 0.1083 5.428 17.45833 2.67357 9.1553 0.0529 17.56660 0.03072 9.5906 0.1083 5.430 17.50000 2.67360 9.1559 0.0529 17.60827 0.03010 9.5906 0.1083 5.432 17.54167 2.67364 9.1566 0.0529 17.64994 0.02948 9.5906 0.1083 5.434 17.58333 2.67368 9.1572 0.0529 17.69161 0.02886 9.5905 0.1083 5.435 17.62500 2.67371 9.1578 0.0529 17.73328 0.02824 9.5905 0.1083 5.437 17.66667 2.67374 9.1585 0.0529 17.77496 0.02762 9.5905 0.1083 5.439 17.70833 2.67377 9.1591 0.0529 17.81662 0.02700 9.5905 0.1083 5.440 17.75000 2.67380 9.1597 0.0529 17.85829 0.02638 9.5905 0.1083 5.442 17.79167 2.67383 9.1604 0.0529 17.89997 0.02576 9.5905 0.1083 5.444 17.83333 2.67385 9.1610 0.0529 17.94163 0.02514 9.5905 0.1083 5.445 17.87500 2.67388 9.1617 0.0529 17.98330 0.02452 9.5905 0.1083 5.447 17.91667 2.67390 9.1623 0.0529 18.02498 0.02390 9.5904 0.1083 5.449 17.95833 2.67392 9.1629 0.0529 18.06664 0.02328 9.5904 0.1083 5.450 18.00000 2.67394 9.1636 0.0529 18.10831 0.02266 9.5904 0.1083 5.452 18.04167 2.67396 9.1642 0.0529 18.14999 0.02204 9.5904 0.1083 5.454 18.08333 2.67398 9.1648 0.0529 18.19165 0.02142 9.5904 0.1083 5.455 18.12500 2.67400 9.1655 0.0529 18.23332 0.02080 9.5904 0.1083 5.457 18.16667 2.67401 9.1661 0.0529 18.27500 0.02018 9.5904 0.1083 5.459 18.20833 2.67402 9.1668 0.0529 18.31666 0.01956 9.5904 0.1083 5.460 18.25000 2.67403 9.1674 0.0529 18.35834 0.01894 9.5904 0.1083 5.462 18.29167 2.67404 9.1680 0.0530 18.40001 0.01832 9.5903 0.1083 5.463 18.33333 2.67405 9.1687 0.0530 18.44167 0.01770 9.5903 0.1083 5.465 18.37500 2.67406 9.1693 0.0530 18.48335 0.01708 9.5903 0.1083 5.467 18.41667 2.67407 9.1699 0.0530 18.52502 0.01646 9.5903 0.1084 5.468 18.45833 2.67407 9.1706 0.0530 18.56668 0.01584 9.5903 0.1084 5.470 18.50000 2.67407 9.1712 0.0530 18.60836 0.01522 9.5903 0.1084 5.472 18.54167 2.67407 9.1719 0.0530 18.65003 0.01460 9.5903 0.1084 5.473 18.58333 2.67407 9.1725 0.0530 18.69169 0.01398 9.5903 0.1084 5.475 18.62500 2.67407 9.1731 0.0530 18.73337 0.01336 9.5902 0.1084 5.476 18.66667 2.67407 9.1738 0.0530 18.77504 0.01274 9.5902 0.1084 5.478 18.70833 2.67406 9.1744 0.0530 18.81671 0.01212 9.5902 0.1084 5.480 18.75000 2.67406 9.1751 0.0530 18.85838 0.01150 9.5902 0.1084 5.481 18.79167 2.67405 9.1757 0.0530 18.90005 0.01088 9.5902 0.1084 5.483 18.83333 2.67404 9.1763 0.0530 18.94172 0.01026 9.5902 0.1084 5.484 18.87500 2.67403 9.1770 0.0530 18.98339 0.00964 9.5902 0.1084 5.486 18.91667 2.67402 9.1776 0.0530 19.02506 0.00902 9.5902 0.1084 5.488 18.95833 2.67400 9.1783 0.0530 19.06673 0.00840 9.5901 0.1084 5.489 19.00000 2.67399 9.1789 0.0530 19.10840 0.00778 9.5901 0.1084 5.491 19.04167 2.67397 9.1796 0.0530 19.15007 0.00716 9.5901 0.1084 5.492 19.08333 2.67395 9.1802 0.0530 19.19174 0.00654 9.5901 0.1084 5.494 19.12500 2.67393 9.1808 0.0530 19.23341 0.00592 9.5901 0.1084 5.496 19.16667 2.67391 9.1815 0.0530 19.27509 0.00530 9.5901 0.1084 5.497 19.20833 2.67389 9.1821 0.0530 19.31675 0.00468 9.5901 0.1084 5.499 19.25000 2.67387 9.1828 0.0530 19.35842 0.00406 9.5901 0.1084 5.500 19.29167 2.67384 9.1834 0.0530 19.40010 0.00344 9.5900 0.1084 5.502 19.33333 2.67381 9.1841 0.0530 19.44176 0.00282 9.5900 0.1084 5.503 19.37500 2.67379 9.1847 0.0530 19.48343 0.00220 9.5900 0.1084 5.505 19.41667 2.67376 9.1853 0.0531 19.52511 0.00158 9.5900 0.1084 5.506 19.45833 2.67372 9.1860 0.0531 19.56677 0.00096 9.5900 0.1084 5.508 19.50000 2.67369 9.1866 0.0531 19.60844 0.00034 9.5900 0.1084 5.510 19.54167 2.67366 9.1873 0.0531 19.65012 -0.00028 9.5900 0.1084 5.511 19.58333 2.67362 9.1879 0.0531 19.69178 -0.00090 9.5900 0.1085 5.513 19.62500 2.67358 9.1886 0.0531 19.73346 -0.00152 9.5900 0.1085 5.514 19.66667 2.67355 9.1892 0.0531 19.77513 -0.00214 9.5899 0.1085 5.516 19.70833 2.67350 9.1899 0.0531 19.81679 -0.00276 9.5899 0.1085 5.517 19.75000 2.67346 9.1905 0.0531 19.85847 -0.00338 9.5899 0.1085 5.519 19.79167 2.67342 9.1911 0.0531 19.90014 -0.00400 9.5899 0.1085 5.520 19.83333 2.67338 9.1918 0.0531 19.94180 -0.00462 9.5899 0.1085 5.522 19.87500 2.67333 9.1924 0.0531 19.98348 -0.00524 9.5899 0.1085 5.523 19.91667 2.67328 9.1931 0.0531 20.02515 -0.00586 9.5899 0.1085 5.525 19.95833 2.67323 9.1937 0.0531 20.06681 -0.00648 9.5899 0.1085 5.526 20.00000 2.67318 9.1944 0.0531 20.10849 -0.00710 9.5898 0.1085 5.528 20.04167 2.67313 9.1950 0.0531 20.15016 -0.00772 9.5898 0.1085 5.529 20.08333 2.67308 9.1957 0.0531 20.19183 -0.00834 9.5898 0.1085 5.531 20.12500 2.67302 9.1963 0.0531 20.23350 -0.00896 9.5898 0.1085 5.532 20.16667 2.67296 9.1970 0.0531 20.27517 -0.00958 9.5898 0.1085 5.534 20.20833 2.67291 9.1976 0.0531 20.31684 -0.01020 9.5898 0.1085 5.535 20.25000 2.67285 9.1983 0.0531 20.35851 -0.01082 9.5898 0.1085 5.537 20.29167 2.67279 9.1989 0.0531 20.40018 -0.01144 9.5898 0.1085 5.538 20.33333 2.67272 9.1996 0.0531 20.44185 -0.01206 9.5897 0.1085 5.540 20.37500 2.67266 9.2002 0.0531 20.48352 -0.01268 9.5897 0.1085 5.541 20.41667 2.67259 9.2008 0.0531 20.52520 -0.01330 9.5897 0.1085 5.543 20.45833 2.67253 9.2015 0.0531 20.56686 -0.01392 9.5897 0.1085 5.544 20.50000 2.67246 9.2021 0.0531 20.60853 -0.01454 9.5897 0.1085 5.546 20.54167 2.67239 9.2028 0.0532 20.65021 -0.01516 9.5897 0.1085 5.547 20.58333 2.67232 9.2034 0.0532 20.69187 -0.01578 9.5897 0.1085 5.549 20.62500 2.67225 9.2041 0.0532 20.73354 -0.01640 9.5897 0.1085 5.550 20.66667 2.67217 9.2047 0.0532 20.77522 -0.01702 9.5897 0.1085 5.552 20.70833 2.67210 9.2054 0.0532 20.81688 -0.01764 9.5896 0.1086 5.553 20.75000 2.67202 9.2060 0.0532 20.85855 -0.01826 9.5896 0.1086 5.555 20.79167 2.67194 9.2067 0.0532 20.90023 -0.01888 9.5896 0.1086 5.556 20.83333 2.67186 9.2073 0.0532 20.94189 -0.01950 9.5896 0.1086 5.557 20.87500 2.67178 9.2080 0.0532 20.98357 -0.02012 9.5896 0.1086 5.559 20.91667 2.67169 9.2086 0.0532 21.02524 -0.02074 9.5896 0.1086 5.560 20.95833 2.67161 9.2093 0.0532 21.06690 -0.02136 9.5896 0.1086 5.562 21.00000 2.67152 9.2099 0.0532 21.10858 -0.02198 9.5896 0.1086 5.563 Sun crossing near day 19.63125