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
Limits42°30.0'S096°04.1'W46°12.9'S101°31.2'W44°19.9'S098°40.4'W 0.908 - 584 km 05m39.0s
11:0050°41.3'S080°04.2'W - - 48°57.2'S089°33.4'W 0.910 117° 569 km 05m50.9s
11:0252°08.9'S077°11.9'W - - 51°14.4'S085°08.3'W 0.911 12° 114° 559 km 05m57.2s
11:0453°25.1'S074°38.7'W51°09.2'S091°47.9'W52°57.7'S081°47.3'W 0.912 15° 110° 551 km 06m02.2s
11:0654°33.2'S072°18.0'W53°25.0'S087°26.3'W54°24.2'S078°55.9'W 0.913 17° 107° 543 km 06m06.4s
11:0855°35.3'S070°05.8'W55°08.4'S084°04.9'W55°40.0'S076°21.9'W 0.913 19° 105° 536 km 06m10.1s
11:1056°32.6'S067°59.7'W56°35.6'S081°11.8'W56°48.2'S073°59.2'W 0.913 21° 102° 530 km 06m13.6s
11:1257°25.7'S065°58.0'W57°52.2'S078°35.3'W57°50.5'S071°44.2'W 0.914 23° 99° 524 km 06m16.8s
11:1458°15.4'S063°59.6'W59°01.4'S076°09.5'W58°48.1'S069°34.7'W 0.914 24° 97° 518 km 06m19.8s
11:1659°02.1'S062°03.6'W60°04.7'S073°50.6'W59°41.7'S067°28.9'W 0.915 25° 94° 512 km 06m22.6s
11:1859°46.0'S060°09.2'W61°03.3'S071°36.7'W60°31.8'S065°25.9'W 0.915 27° 92° 507 km 06m25.3s
11:2060°27.4'S058°15.8'W61°57.9'S069°25.9'W61°18.9'S063°24.5'W 0.915 28° 89° 503 km 06m27.8s
11:2261°06.5'S056°23.1'W62°49.0'S067°17.1'W62°03.3'S061°24.2'W 0.915 29° 86° 498 km 06m30.2s
11:2461°43.5'S054°30.7'W63°37.2'S065°09.4'W62°45.2'S059°24.4'W 0.916 30° 84° 494 km 06m32.5s
11:2662°18.5'S052°38.2'W64°22.5'S063°02.0'W63°24.8'S057°24.6'W 0.916 31° 81° 490 km 06m34.7s
11:2862°51.5'S050°45.4'W65°05.3'S060°54.4'W64°02.2'S055°24.4'W 0.916 32° 78° 486 km 06m36.8s
11:3063°22.7'S048°52.1'W65°45.7'S058°46.0'W64°37.5'S053°23.6'W 0.916 33° 75° 483 km 06m38.8s
11:3263°52.2'S046°58.1'W66°23.9'S056°36.3'W65°10.8'S051°21.8'W 0.916 34° 73° 479 km 06m40.7s
11:3464°19.9'S045°03.3'W66°59.9'S054°25.2'W65°42.3'S049°18.8'W 0.917 35° 70° 476 km 06m42.5s
11:3664°45.9'S043°07.6'W67°33.9'S052°12.1'W66°11.8'S047°14.5'W 0.917 36° 67° 473 km 06m44.3s
11:3865°10.3'S041°10.9'W68°05.8'S049°57.0'W66°39.5'S045°08.7'W 0.917 36° 64° 470 km 06m45.9s
11:4065°33.0'S039°13.1'W68°35.7'S047°39.6'W67°05.5'S043°01.3'W 0.917 37° 61° 468 km 06m47.5s
11:4265°54.2'S037°14.2'W69°03.6'S045°19.8'W67°29.6'S040°52.3'W 0.917 38° 58° 465 km 06m49.0s
11:4466°13.7'S035°14.3'W69°29.5'S042°57.5'W67°51.9'S038°41.6'W 0.917 38° 54° 463 km 06m50.4s
11:4666°31.6'S033°13.3'W69°53.5'S040°32.6'W68°12.5'S036°29.3'W 0.917 39° 51° 461 km 06m51.7s
11:4866°48.0'S031°11.3'W70°15.6'S038°05.1'W68°31.4'S034°15.3'W 0.917 40° 48° 459 km 06m53.0s
11:5067°02.7'S029°08.3'W70°35.6'S035°35.2'W68°48.4'S031°59.8'W 0.918 40° 45° 457 km 06m54.1s
11:5267°15.9'S027°04.5'W70°53.7'S033°02.9'W69°03.8'S029°42.9'W 0.918 41° 41° 455 km 06m55.2s
11:5467°27.5'S025°00.0'W71°09.7'S030°28.3'W69°17.3'S027°24.7'W 0.918 41° 38° 454 km 06m56.3s
11:5667°37.6'S022°54.8'W71°23.8'S027°51.8'W69°29.1'S025°05.3'W 0.918 42° 34° 452 km 06m57.2s
11:5867°46.1'S020°49.1'W71°35.8'S025°13.6'W69°39.1'S022°45.0'W 0.918 42° 31° 451 km 06m58.1s
12:0067°53.1'S018°43.2'W71°45.8'S022°34.0'W69°47.3'S020°24.0'W 0.918 42° 27° 450 km 06m58.9s
12:0267°58.5'S016°37.0'W71°53.8'S019°53.2'W69°53.8'S018°02.5'W 0.918 43° 24° 449 km 06m59.6s
12:0468°02.3'S014°30.9'W71°59.7'S017°11.9'W69°58.6'S015°40.8'W 0.918 43° 20° 448 km 07m00.2s
12:0668°04.7'S012°25.0'W72°03.6'S014°30.2'W70°01.6'S013°19.1'W 0.918 43° 17° 447 km 07m00.8s
12:0868°05.5'S010°19.4'W72°05.5'S011°48.7'W70°02.8'S010°57.8'W 0.918 43° 13° 447 km 07m01.3s
12:1068°04.8'S008°14.4'W72°05.4'S009°07.8'W70°02.4'S008°37.0'W 0.918 44° 10° 446 km 07m01.7s
12:1268°02.7'S006°10.1'W72°03.4'S006°27.9'W70°00.2'S006°17.1'W 0.918 44° 446 km 07m02.1s
12:1467°59.1'S004°06.7'W71°59.3'S003°49.5'W69°56.4'S003°58.4'W 0.918 44° 446 km 07m02.3s
12:1667°54.0'S002°04.4'W71°53.4'S001°12.8'W69°51.0'S001°41.0'W 0.918 44° 359° 445 km 07m02.5s
12:1867°47.5'S000°03.3'W71°45.6'S001°21.7'E69°43.9'S000°34.8'E 0.918 44° 355° 445 km 07m02.7s
12:2067°39.7'S001°56.4'E71°36.0'S003°53.7'E69°35.3'S002°48.9'E 0.918 44° 352° 445 km 07m02.7s
12:2267°30.4'S003°54.6'E71°24.7'S006°23.0'E69°25.1'S005°00.9'E 0.918 44° 348° 446 km 07m02.7s
12:2467°19.9'S005°51.3'E71°11.6'S008°49.2'E69°13.4'S007°10.7'E 0.918 44° 345° 446 km 07m02.6s
12:2667°08.0'S007°46.2'E70°56.8'S011°12.3'E69°00.3'S009°18.3'E 0.918 44° 342° 447 km 07m02.4s
12:2866°54.8'S009°39.3'E70°40.5'S013°32.0'E68°45.7'S011°23.4'E 0.918 44° 338° 447 km 07m02.2s
12:3066°40.4'S011°30.5'E70°22.6'S015°48.2'E68°29.7'S013°26.1'E 0.918 44° 335° 448 km 07m01.9s
12:3266°24.7'S013°19.9'E70°03.1'S018°01.0'E68°12.4'S015°26.2'E 0.918 44° 332° 449 km 07m01.5s
12:3466°07.9'S015°07.3'E69°42.3'S020°10.2'E67°53.7'S017°23.7'E 0.918 43° 329° 450 km 07m01.0s
12:3665°49.8'S016°52.7'E69°20.0'S022°16.0'E67°33.8'S019°18.6'E 0.918 43° 325° 451 km 07m00.5s
12:3865°30.6'S018°36.2'E68°56.4'S024°18.3'E67°12.6'S021°11.0'E 0.918 43° 322° 452 km 06m59.9s
12:4065°10.3'S020°17.7'E68°31.5'S026°17.1'E66°50.2'S023°00.8'E 0.918 43° 319° 453 km 06m59.2s
12:4264°48.9'S021°57.3'E68°05.3'S028°12.7'E66°26.6'S024°48.1'E 0.918 42° 316° 455 km 06m58.4s
12:4464°26.4'S023°34.9'E67°37.9'S030°05.2'E66°01.9'S026°32.9'E 0.918 42° 314° 456 km 06m57.6s
12:4664°02.8'S025°10.8'E67°09.3'S031°54.6'E65°36.0'S028°15.4'E 0.918 42° 311° 458 km 06m56.7s
12:4863°38.1'S026°44.8'E66°39.5'S033°41.1'E65°09.0'S029°55.6'E 0.918 41° 308° 460 km 06m55.8s
12:5063°12.4'S028°17.1'E66°08.6'S035°24.9'E64°40.9'S031°33.7'E 0.918 41° 305° 462 km 06m54.7s
12:5262°45.7'S029°47.8'E65°36.5'S037°06.2'E64°11.7'S033°09.7'E 0.918 40° 303° 464 km 06m53.6s
12:5462°18.0'S031°16.9'E65°03.3'S038°45.2'E63°41.5'S034°43.8'E 0.917 40° 300° 467 km 06m52.4s
12:5661°49.2'S032°44.6'E64°29.0'S040°22.0'E63°10.1'S036°16.1'E 0.917 39° 297° 469 km 06m51.2s
12:5861°19.4'S034°10.9'E63°53.5'S041°56.8'E62°37.7'S037°46.8'E 0.917 39° 295° 472 km 06m49.9s
13:0060°48.6'S035°36.0'E63°16.9'S043°29.9'E62°04.2'S039°16.0'E 0.917 38° 292° 474 km 06m48.5s
13:0260°16.7'S036°59.9'E62°39.1'S045°01.6'E61°29.6'S040°43.9'E 0.917 37° 290° 477 km 06m47.0s
13:0459°43.8'S038°22.9'E62°00.1'S046°31.9'E60°53.9'S042°10.7'E 0.917 37° 288° 480 km 06m45.5s
13:0659°09.8'S039°45.0'E61°19.9'S048°01.3'E60°17.0'S043°36.5'E 0.917 36° 285° 483 km 06m43.8s
13:0858°34.8'S041°06.4'E60°38.4'S049°29.9'E59°39.0'S045°01.5'E 0.917 35° 283° 487 km 06m42.1s
13:1057°58.5'S042°27.3'E59°55.5'S050°58.1'E58°59.7'S046°26.1'E 0.916 34° 281° 490 km 06m40.4s
13:1257°21.2'S043°47.8'E59°11.2'S052°26.1'E58°19.2'S047°50.3'E 0.916 34° 279° 494 km 06m38.5s
13:1456°42.5'S045°08.2'E58°25.4'S053°54.3'E57°37.3'S049°14.4'E 0.916 33° 276° 498 km 06m36.6s
13:1656°02.6'S046°28.6'E57°37.9'S055°23.0'E56°53.9'S050°38.8'E 0.916 32° 274° 502 km 06m34.6s
13:1855°21.3'S047°49.3'E56°48.6'S056°52.9'E56°09.0'S052°03.7'E 0.916 31° 272° 506 km 06m32.4s
13:2054°38.6'S049°10.5'E55°57.3'S058°24.2'E55°22.4'S053°29.6'E 0.915 30° 270° 511 km 06m30.2s
13:2253°54.3'S050°32.6'E55°03.6'S059°57.8'E54°34.0'S054°56.7'E 0.915 28° 268° 515 km 06m27.9s
13:2453°08.3'S051°55.9'E54°07.4'S061°34.3'E53°43.5'S056°25.8'E 0.915 27° 266° 520 km 06m25.5s
13:2652°20.3'S053°20.9'E53°08.1'S063°14.8'E52°50.7'S057°57.2'E 0.914 26° 264° 525 km 06m23.0s
13:2851°30.3'S054°48.0'E52°05.2'S065°00.5'E51°55.3'S059°31.9'E 0.914 25° 262° 530 km 06m20.3s
13:3050°37.9'S056°17.8'E50°57.7'S066°53.5'E50°56.7'S061°10.9'E 0.914 23° 260° 536 km 06m17.4s
13:3249°42.7'S057°51.2'E49°44.4'S068°56.3'E49°54.4'S062°55.3'E 0.913 21° 258° 541 km 06m14.4s
13:3448°44.4'S059°29.1'E48°23.1'S071°13.6'E48°47.5'S064°47.3'E 0.913 20° 256° 547 km 06m11.2s
13:3647°42.1'S061°13.0'E46°49.9'S073°53.8'E47°34.6'S066°49.4'E 0.913 18° 254° 553 km 06m07.7s
13:3846°35.0'S063°04.9'E44°55.3'S077°16.4'E46°13.6'S069°06.5'E 0.912 16° 252° 559 km 06m03.8s
13:4045°21.6'S065°07.7'E41°58.5'S082°47.9'E44°40.1'S071°47.2'E 0.911 13° 249° 566 km 05m59.3s
13:4243°59.5'S067°26.6'E - - 42°44.4'S075°12.2'E 0.911 10° 246° 573 km 05m53.9s
13:4442°23.8'S070°11.3'E - - 39°39.2'S081°00.7'E 0.909 242° 582 km 05m45.3s
Limits35°39.6'S082°57.7'E39°32.6'S087°45.8'E37°34.2'S085°15.9'E 0.908 - 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 Eclipse23:50:49.012:21:20.469°28.6'S168°32.9'W 44.1° 349.6° 445.6 km07m02.70s
Greatest Duration23:49:48.912:20:20.369°33.7'S003°11.3'E 44.1° 351.3° 445.5 km07m02.70s

Explanation of Greatest Eclipse and Greatest Duration

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
  • Solar Eclipses - primary page for solar eclipse predictions
  • Solar Eclipse Links - detailed directory of links

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.