Path of the Annular Solar Eclipse of -1787 Dec 31
Fred Espenak
Introduction
The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of -1787 Dec 31 . The geographic coordinates (WGS 84) of the northern and southern limits and the central line are listed at 120-second intervals. This provides adequate detail for making plots of the path on larger scale maps. Local circumstances on the central line include the ratio of the apparent diameters of the Moon to the Sun, the Sun's altitude and azimuth (degrees), the path width (kilometers) and the duration on the central line (minutes and seconds). See the Explanation of the Central Eclipse Path Table for a description of each column in the table.
The geographic visibility of the eclipse is shown on a global map on the Prime Page for the Eclipse which also includes complete details on the eclipse. The path of the eclipse is displayed in greater detail on an interactive Google Map .
| Annular Solar Eclipse of -1787 Dec 31 | |||||||||||
| UT1 | Northern Limit | Southern Limit | Central Line | M:S | Sun | Sun | Path | Central | |||
| Latitude | Longitude | Latitude | Longitude | Latitude | Longitude | Ratio | Alt. | Azm. | Width | Duration | |
| Limits | 42°30.0'S | 096°04.1'W | 46°12.9'S | 101°31.2'W | 44°19.9'S | 098°40.4'W | 0.908 | 0° | - | 584 km | 05m39.0s |
| 11:00 | 50°41.3'S | 080°04.2'W | - | - | 48°57.2'S | 089°33.4'W | 0.910 | 8° | 117° | 569 km | 05m50.9s |
| 11:02 | 52°08.9'S | 077°11.9'W | - | - | 51°14.4'S | 085°08.3'W | 0.911 | 12° | 114° | 559 km | 05m57.2s |
| 11:04 | 53°25.1'S | 074°38.7'W | 51°09.2'S | 091°47.9'W | 52°57.7'S | 081°47.3'W | 0.912 | 15° | 110° | 551 km | 06m02.2s |
| 11:06 | 54°33.2'S | 072°18.0'W | 53°25.0'S | 087°26.3'W | 54°24.2'S | 078°55.9'W | 0.913 | 17° | 107° | 543 km | 06m06.4s |
| 11:08 | 55°35.3'S | 070°05.8'W | 55°08.4'S | 084°04.9'W | 55°40.0'S | 076°21.9'W | 0.913 | 19° | 105° | 536 km | 06m10.1s |
| 11:10 | 56°32.6'S | 067°59.7'W | 56°35.6'S | 081°11.8'W | 56°48.2'S | 073°59.2'W | 0.913 | 21° | 102° | 530 km | 06m13.6s |
| 11:12 | 57°25.7'S | 065°58.0'W | 57°52.2'S | 078°35.3'W | 57°50.5'S | 071°44.2'W | 0.914 | 23° | 99° | 524 km | 06m16.8s |
| 11:14 | 58°15.4'S | 063°59.6'W | 59°01.4'S | 076°09.5'W | 58°48.1'S | 069°34.7'W | 0.914 | 24° | 97° | 518 km | 06m19.8s |
| 11:16 | 59°02.1'S | 062°03.6'W | 60°04.7'S | 073°50.6'W | 59°41.7'S | 067°28.9'W | 0.915 | 25° | 94° | 512 km | 06m22.6s |
| 11:18 | 59°46.0'S | 060°09.2'W | 61°03.3'S | 071°36.7'W | 60°31.8'S | 065°25.9'W | 0.915 | 27° | 92° | 507 km | 06m25.3s |
| 11:20 | 60°27.4'S | 058°15.8'W | 61°57.9'S | 069°25.9'W | 61°18.9'S | 063°24.5'W | 0.915 | 28° | 89° | 503 km | 06m27.8s |
| 11:22 | 61°06.5'S | 056°23.1'W | 62°49.0'S | 067°17.1'W | 62°03.3'S | 061°24.2'W | 0.915 | 29° | 86° | 498 km | 06m30.2s |
| 11:24 | 61°43.5'S | 054°30.7'W | 63°37.2'S | 065°09.4'W | 62°45.2'S | 059°24.4'W | 0.916 | 30° | 84° | 494 km | 06m32.5s |
| 11:26 | 62°18.5'S | 052°38.2'W | 64°22.5'S | 063°02.0'W | 63°24.8'S | 057°24.6'W | 0.916 | 31° | 81° | 490 km | 06m34.7s |
| 11:28 | 62°51.5'S | 050°45.4'W | 65°05.3'S | 060°54.4'W | 64°02.2'S | 055°24.4'W | 0.916 | 32° | 78° | 486 km | 06m36.8s |
| 11:30 | 63°22.7'S | 048°52.1'W | 65°45.7'S | 058°46.0'W | 64°37.5'S | 053°23.6'W | 0.916 | 33° | 75° | 483 km | 06m38.8s |
| 11:32 | 63°52.2'S | 046°58.1'W | 66°23.9'S | 056°36.3'W | 65°10.8'S | 051°21.8'W | 0.916 | 34° | 73° | 479 km | 06m40.7s |
| 11:34 | 64°19.9'S | 045°03.3'W | 66°59.9'S | 054°25.2'W | 65°42.3'S | 049°18.8'W | 0.917 | 35° | 70° | 476 km | 06m42.5s |
| 11:36 | 64°45.9'S | 043°07.6'W | 67°33.9'S | 052°12.1'W | 66°11.8'S | 047°14.5'W | 0.917 | 36° | 67° | 473 km | 06m44.3s |
| 11:38 | 65°10.3'S | 041°10.9'W | 68°05.8'S | 049°57.0'W | 66°39.5'S | 045°08.7'W | 0.917 | 36° | 64° | 470 km | 06m45.9s |
| 11:40 | 65°33.0'S | 039°13.1'W | 68°35.7'S | 047°39.6'W | 67°05.5'S | 043°01.3'W | 0.917 | 37° | 61° | 468 km | 06m47.5s |
| 11:42 | 65°54.2'S | 037°14.2'W | 69°03.6'S | 045°19.8'W | 67°29.6'S | 040°52.3'W | 0.917 | 38° | 58° | 465 km | 06m49.0s |
| 11:44 | 66°13.7'S | 035°14.3'W | 69°29.5'S | 042°57.5'W | 67°51.9'S | 038°41.6'W | 0.917 | 38° | 54° | 463 km | 06m50.4s |
| 11:46 | 66°31.6'S | 033°13.3'W | 69°53.5'S | 040°32.6'W | 68°12.5'S | 036°29.3'W | 0.917 | 39° | 51° | 461 km | 06m51.7s |
| 11:48 | 66°48.0'S | 031°11.3'W | 70°15.6'S | 038°05.1'W | 68°31.4'S | 034°15.3'W | 0.917 | 40° | 48° | 459 km | 06m53.0s |
| 11:50 | 67°02.7'S | 029°08.3'W | 70°35.6'S | 035°35.2'W | 68°48.4'S | 031°59.8'W | 0.918 | 40° | 45° | 457 km | 06m54.1s |
| 11:52 | 67°15.9'S | 027°04.5'W | 70°53.7'S | 033°02.9'W | 69°03.8'S | 029°42.9'W | 0.918 | 41° | 41° | 455 km | 06m55.2s |
| 11:54 | 67°27.5'S | 025°00.0'W | 71°09.7'S | 030°28.3'W | 69°17.3'S | 027°24.7'W | 0.918 | 41° | 38° | 454 km | 06m56.3s |
| 11:56 | 67°37.6'S | 022°54.8'W | 71°23.8'S | 027°51.8'W | 69°29.1'S | 025°05.3'W | 0.918 | 42° | 34° | 452 km | 06m57.2s |
| 11:58 | 67°46.1'S | 020°49.1'W | 71°35.8'S | 025°13.6'W | 69°39.1'S | 022°45.0'W | 0.918 | 42° | 31° | 451 km | 06m58.1s |
| 12:00 | 67°53.1'S | 018°43.2'W | 71°45.8'S | 022°34.0'W | 69°47.3'S | 020°24.0'W | 0.918 | 42° | 27° | 450 km | 06m58.9s |
| 12:02 | 67°58.5'S | 016°37.0'W | 71°53.8'S | 019°53.2'W | 69°53.8'S | 018°02.5'W | 0.918 | 43° | 24° | 449 km | 06m59.6s |
| 12:04 | 68°02.3'S | 014°30.9'W | 71°59.7'S | 017°11.9'W | 69°58.6'S | 015°40.8'W | 0.918 | 43° | 20° | 448 km | 07m00.2s |
| 12:06 | 68°04.7'S | 012°25.0'W | 72°03.6'S | 014°30.2'W | 70°01.6'S | 013°19.1'W | 0.918 | 43° | 17° | 447 km | 07m00.8s |
| 12:08 | 68°05.5'S | 010°19.4'W | 72°05.5'S | 011°48.7'W | 70°02.8'S | 010°57.8'W | 0.918 | 43° | 13° | 447 km | 07m01.3s |
| 12:10 | 68°04.8'S | 008°14.4'W | 72°05.4'S | 009°07.8'W | 70°02.4'S | 008°37.0'W | 0.918 | 44° | 10° | 446 km | 07m01.7s |
| 12:12 | 68°02.7'S | 006°10.1'W | 72°03.4'S | 006°27.9'W | 70°00.2'S | 006°17.1'W | 0.918 | 44° | 6° | 446 km | 07m02.1s |
| 12:14 | 67°59.1'S | 004°06.7'W | 71°59.3'S | 003°49.5'W | 69°56.4'S | 003°58.4'W | 0.918 | 44° | 2° | 446 km | 07m02.3s |
| 12:16 | 67°54.0'S | 002°04.4'W | 71°53.4'S | 001°12.8'W | 69°51.0'S | 001°41.0'W | 0.918 | 44° | 359° | 445 km | 07m02.5s |
| 12:18 | 67°47.5'S | 000°03.3'W | 71°45.6'S | 001°21.7'E | 69°43.9'S | 000°34.8'E | 0.918 | 44° | 355° | 445 km | 07m02.7s |
| 12:20 | 67°39.7'S | 001°56.4'E | 71°36.0'S | 003°53.7'E | 69°35.3'S | 002°48.9'E | 0.918 | 44° | 352° | 445 km | 07m02.7s |
| 12:22 | 67°30.4'S | 003°54.6'E | 71°24.7'S | 006°23.0'E | 69°25.1'S | 005°00.9'E | 0.918 | 44° | 348° | 446 km | 07m02.7s |
| 12:24 | 67°19.9'S | 005°51.3'E | 71°11.6'S | 008°49.2'E | 69°13.4'S | 007°10.7'E | 0.918 | 44° | 345° | 446 km | 07m02.6s |
| 12:26 | 67°08.0'S | 007°46.2'E | 70°56.8'S | 011°12.3'E | 69°00.3'S | 009°18.3'E | 0.918 | 44° | 342° | 447 km | 07m02.4s |
| 12:28 | 66°54.8'S | 009°39.3'E | 70°40.5'S | 013°32.0'E | 68°45.7'S | 011°23.4'E | 0.918 | 44° | 338° | 447 km | 07m02.2s |
| 12:30 | 66°40.4'S | 011°30.5'E | 70°22.6'S | 015°48.2'E | 68°29.7'S | 013°26.1'E | 0.918 | 44° | 335° | 448 km | 07m01.9s |
| 12:32 | 66°24.7'S | 013°19.9'E | 70°03.1'S | 018°01.0'E | 68°12.4'S | 015°26.2'E | 0.918 | 44° | 332° | 449 km | 07m01.5s |
| 12:34 | 66°07.9'S | 015°07.3'E | 69°42.3'S | 020°10.2'E | 67°53.7'S | 017°23.7'E | 0.918 | 43° | 329° | 450 km | 07m01.0s |
| 12:36 | 65°49.8'S | 016°52.7'E | 69°20.0'S | 022°16.0'E | 67°33.8'S | 019°18.6'E | 0.918 | 43° | 325° | 451 km | 07m00.5s |
| 12:38 | 65°30.6'S | 018°36.2'E | 68°56.4'S | 024°18.3'E | 67°12.6'S | 021°11.0'E | 0.918 | 43° | 322° | 452 km | 06m59.9s |
| 12:40 | 65°10.3'S | 020°17.7'E | 68°31.5'S | 026°17.1'E | 66°50.2'S | 023°00.8'E | 0.918 | 43° | 319° | 453 km | 06m59.2s |
| 12:42 | 64°48.9'S | 021°57.3'E | 68°05.3'S | 028°12.7'E | 66°26.6'S | 024°48.1'E | 0.918 | 42° | 316° | 455 km | 06m58.4s |
| 12:44 | 64°26.4'S | 023°34.9'E | 67°37.9'S | 030°05.2'E | 66°01.9'S | 026°32.9'E | 0.918 | 42° | 314° | 456 km | 06m57.6s |
| 12:46 | 64°02.8'S | 025°10.8'E | 67°09.3'S | 031°54.6'E | 65°36.0'S | 028°15.4'E | 0.918 | 42° | 311° | 458 km | 06m56.7s |
| 12:48 | 63°38.1'S | 026°44.8'E | 66°39.5'S | 033°41.1'E | 65°09.0'S | 029°55.6'E | 0.918 | 41° | 308° | 460 km | 06m55.8s |
| 12:50 | 63°12.4'S | 028°17.1'E | 66°08.6'S | 035°24.9'E | 64°40.9'S | 031°33.7'E | 0.918 | 41° | 305° | 462 km | 06m54.7s |
| 12:52 | 62°45.7'S | 029°47.8'E | 65°36.5'S | 037°06.2'E | 64°11.7'S | 033°09.7'E | 0.918 | 40° | 303° | 464 km | 06m53.6s |
| 12:54 | 62°18.0'S | 031°16.9'E | 65°03.3'S | 038°45.2'E | 63°41.5'S | 034°43.8'E | 0.917 | 40° | 300° | 467 km | 06m52.4s |
| 12:56 | 61°49.2'S | 032°44.6'E | 64°29.0'S | 040°22.0'E | 63°10.1'S | 036°16.1'E | 0.917 | 39° | 297° | 469 km | 06m51.2s |
| 12:58 | 61°19.4'S | 034°10.9'E | 63°53.5'S | 041°56.8'E | 62°37.7'S | 037°46.8'E | 0.917 | 39° | 295° | 472 km | 06m49.9s |
| 13:00 | 60°48.6'S | 035°36.0'E | 63°16.9'S | 043°29.9'E | 62°04.2'S | 039°16.0'E | 0.917 | 38° | 292° | 474 km | 06m48.5s |
| 13:02 | 60°16.7'S | 036°59.9'E | 62°39.1'S | 045°01.6'E | 61°29.6'S | 040°43.9'E | 0.917 | 37° | 290° | 477 km | 06m47.0s |
| 13:04 | 59°43.8'S | 038°22.9'E | 62°00.1'S | 046°31.9'E | 60°53.9'S | 042°10.7'E | 0.917 | 37° | 288° | 480 km | 06m45.5s |
| 13:06 | 59°09.8'S | 039°45.0'E | 61°19.9'S | 048°01.3'E | 60°17.0'S | 043°36.5'E | 0.917 | 36° | 285° | 483 km | 06m43.8s |
| 13:08 | 58°34.8'S | 041°06.4'E | 60°38.4'S | 049°29.9'E | 59°39.0'S | 045°01.5'E | 0.917 | 35° | 283° | 487 km | 06m42.1s |
| 13:10 | 57°58.5'S | 042°27.3'E | 59°55.5'S | 050°58.1'E | 58°59.7'S | 046°26.1'E | 0.916 | 34° | 281° | 490 km | 06m40.4s |
| 13:12 | 57°21.2'S | 043°47.8'E | 59°11.2'S | 052°26.1'E | 58°19.2'S | 047°50.3'E | 0.916 | 34° | 279° | 494 km | 06m38.5s |
| 13:14 | 56°42.5'S | 045°08.2'E | 58°25.4'S | 053°54.3'E | 57°37.3'S | 049°14.4'E | 0.916 | 33° | 276° | 498 km | 06m36.6s |
| 13:16 | 56°02.6'S | 046°28.6'E | 57°37.9'S | 055°23.0'E | 56°53.9'S | 050°38.8'E | 0.916 | 32° | 274° | 502 km | 06m34.6s |
| 13:18 | 55°21.3'S | 047°49.3'E | 56°48.6'S | 056°52.9'E | 56°09.0'S | 052°03.7'E | 0.916 | 31° | 272° | 506 km | 06m32.4s |
| 13:20 | 54°38.6'S | 049°10.5'E | 55°57.3'S | 058°24.2'E | 55°22.4'S | 053°29.6'E | 0.915 | 30° | 270° | 511 km | 06m30.2s |
| 13:22 | 53°54.3'S | 050°32.6'E | 55°03.6'S | 059°57.8'E | 54°34.0'S | 054°56.7'E | 0.915 | 28° | 268° | 515 km | 06m27.9s |
| 13:24 | 53°08.3'S | 051°55.9'E | 54°07.4'S | 061°34.3'E | 53°43.5'S | 056°25.8'E | 0.915 | 27° | 266° | 520 km | 06m25.5s |
| 13:26 | 52°20.3'S | 053°20.9'E | 53°08.1'S | 063°14.8'E | 52°50.7'S | 057°57.2'E | 0.914 | 26° | 264° | 525 km | 06m23.0s |
| 13:28 | 51°30.3'S | 054°48.0'E | 52°05.2'S | 065°00.5'E | 51°55.3'S | 059°31.9'E | 0.914 | 25° | 262° | 530 km | 06m20.3s |
| 13:30 | 50°37.9'S | 056°17.8'E | 50°57.7'S | 066°53.5'E | 50°56.7'S | 061°10.9'E | 0.914 | 23° | 260° | 536 km | 06m17.4s |
| 13:32 | 49°42.7'S | 057°51.2'E | 49°44.4'S | 068°56.3'E | 49°54.4'S | 062°55.3'E | 0.913 | 21° | 258° | 541 km | 06m14.4s |
| 13:34 | 48°44.4'S | 059°29.1'E | 48°23.1'S | 071°13.6'E | 48°47.5'S | 064°47.3'E | 0.913 | 20° | 256° | 547 km | 06m11.2s |
| 13:36 | 47°42.1'S | 061°13.0'E | 46°49.9'S | 073°53.8'E | 47°34.6'S | 066°49.4'E | 0.913 | 18° | 254° | 553 km | 06m07.7s |
| 13:38 | 46°35.0'S | 063°04.9'E | 44°55.3'S | 077°16.4'E | 46°13.6'S | 069°06.5'E | 0.912 | 16° | 252° | 559 km | 06m03.8s |
| 13:40 | 45°21.6'S | 065°07.7'E | 41°58.5'S | 082°47.9'E | 44°40.1'S | 071°47.2'E | 0.911 | 13° | 249° | 566 km | 05m59.3s |
| 13:42 | 43°59.5'S | 067°26.6'E | - | - | 42°44.4'S | 075°12.2'E | 0.911 | 10° | 246° | 573 km | 05m53.9s |
| 13:44 | 42°23.8'S | 070°11.3'E | - | - | 39°39.2'S | 081°00.7'E | 0.909 | 4° | 242° | 582 km | 05m45.3s |
| Limits | 35°39.6'S | 082°57.7'E | 39°32.6'S | 087°45.8'E | 37°34.2'S | 085°15.9'E | 0.908 | 0° | - | 585 km | 05m39.7s |
ΔT = 41368.6 seconds
| Greatest Eclipse and Greatest Duration | ||||||||
| Event | Time TD |
Time UT1 |
Latitude | Longitude | Sun Altitude |
Sun Azimuth |
Path Width | Central Duration |
| Greatest Eclipse | 23:50:49.0 | 12:21:20.4 | 69°28.6'S | 168°32.9'W | 44.1° | 349.6° | 445.6 km | 07m02.70s |
| Greatest Duration | 23:49:48.9 | 12:20:20.3 | 69°33.7'S | 003°11.3'E | 44.1° | 351.3° | 445.5 km | 07m02.70s |
Links for the Annular Solar Eclipse of -1787 Dec 31
Links to Additional Solar Eclipse Predictions
- Home - home page of EclipseWise with predictions for both solar and lunar eclipses
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Eclipse Predictions
Predictions for the Annular Solar Eclipse of -1787 Dec 31 were generated using the JPL DE406 solar and lunar ephemerides. The lunar coordinates were calculated with respect to the Moon's Center of Mass. Although the predictions are first calculated in Terrestrial Dynamical Time (TD), they are then converted to Universal Time (UT1) as presented here. The parameter ΔT is used to convert between the two times (i.e., UT1 = TD - ΔT). ΔT has a value of 41368.6 seconds for this eclipse. The uncertainty in ΔT is 2882.1 seconds corresponding to a standard error in longitude of the eclipse path of ± 12.04°.
Acknowledgments
All eclipse calculations are by Fred Espenak, and he assumes full responsibility for their accuracy.
Permission is granted to reproduce eclipse data when accompanied by a link to this page and an acknowledgment:
"Eclipse Predictions by Fred Espenak, EclipseWise.com"
The use of diagrams and maps is permitted provided that they are unaltered (except for re-sizing) and the embedded credit line is not removed or covered.