Path of the Annular Solar Eclipse of 1791 Apr 03

Fred Espenak

Introduction

The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of 1791 Apr 03 . 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 1791 Apr 03
UT1 Northern Limit Southern Limit Central Line M:S Sun Sun Path Central
Latitude Longitude Latitude Longitude Latitude Longitude Ratio Alt. Azm. Width Duration
Limits40°26.3'N091°53.4'W36°21.0'N089°29.4'W38°20.4'N090°38.4'W 0.931 - 473 km 04m32.4s
11:50 - - 38°43.4'N075°21.8'W39°20.1'N082°57.0'W 0.933 88° 474 km 04m39.7s
11:52 - - 39°23.3'N072°47.6'W40°10.1'N078°32.9'W 0.934 10° 91° 473 km 04m44.4s
11:5441°34.2'N083°04.3'W40°00.6'N070°37.9'W40°52.3'N075°30.6'W 0.935 13° 94° 472 km 04m47.9s
11:5642°21.5'N079°00.5'W40°36.3'N068°44.3'W41°31.0'N073°04.2'W 0.935 15° 96° 471 km 04m50.8s
11:5843°02.6'N076°05.2'W41°10.8'N067°02.2'W42°07.7'N070°59.3'W 0.936 17° 98° 469 km 04m53.4s
12:0043°40.8'N073°42.5'W41°44.4'N065°28.9'W42°43.0'N069°08.8'W 0.936 18° 100° 467 km 04m55.7s
12:0244°17.3'N071°39.7'W42°17.3'N064°02.5'W43°17.3'N067°28.9'W 0.936 20° 102° 465 km 04m57.8s
12:0444°52.5'N069°50.5'W42°49.7'N062°41.5'W43°50.9'N065°57.1'W 0.937 21° 103° 462 km 04m59.7s
12:0645°26.9'N068°11.4'W43°21.6'N061°25.2'W44°23.8'N064°31.6'W 0.937 22° 105° 460 km 05m01.5s
12:0846°00.6'N066°40.0'W43°53.1'N060°12.6'W44°56.3'N063°11.4'W 0.937 23° 107° 457 km 05m03.2s
12:1046°33.8'N065°14.7'W44°24.4'N059°03.2'W45°28.4'N061°55.4'W 0.937 24° 108° 454 km 05m04.7s
12:1247°06.7'N063°54.4'W44°55.3'N057°56.5'W46°00.3'N060°42.9'W 0.938 25° 110° 451 km 05m06.2s
12:1447°39.2'N062°38.2'W45°26.1'N056°52.1'W46°31.8'N059°33.5'W 0.938 26° 112° 448 km 05m07.6s
12:1648°11.5'N061°25.4'W45°56.7'N055°49.7'W47°03.2'N058°26.6'W 0.938 27° 113° 445 km 05m08.9s
12:1848°43.6'N060°15.4'W46°27.1'N054°49.0'W47°34.4'N057°21.8'W 0.938 28° 115° 442 km 05m10.2s
12:2049°15.6'N059°07.9'W46°57.5'N053°49.7'W48°05.5'N056°18.9'W 0.938 29° 116° 439 km 05m11.3s
12:2249°47.5'N058°02.3'W47°27.7'N052°51.7'W48°36.5'N055°17.5'W 0.938 29° 118° 436 km 05m12.4s
12:2450°19.3'N056°58.5'W47°57.8'N051°54.7'W49°07.4'N054°17.5'W 0.939 30° 120° 433 km 05m13.4s
12:2650°51.0'N055°56.1'W48°27.9'N050°58.5'W49°38.3'N053°18.5'W 0.939 30° 121° 430 km 05m14.4s
12:2851°22.7'N054°54.9'W48°57.9'N050°03.1'W50°09.1'N052°20.4'W 0.939 31° 123° 427 km 05m15.3s
12:3051°54.5'N053°54.7'W49°27.9'N049°08.2'W50°39.9'N051°23.1'W 0.939 31° 125° 424 km 05m16.1s
12:3252°26.2'N052°55.2'W49°57.9'N048°13.7'W51°10.7'N050°26.3'W 0.939 32° 127° 421 km 05m16.9s
12:3452°58.0'N051°56.3'W50°27.9'N047°19.6'W51°41.6'N049°29.9'W 0.939 32° 128° 418 km 05m17.6s
12:3653°29.9'N050°57.8'W50°57.9'N046°25.6'W52°12.4'N048°33.8'W 0.939 33° 130° 415 km 05m18.2s
12:3854°01.8'N049°59.6'W51°27.9'N045°31.6'W52°43.3'N047°37.9'W 0.939 33° 132° 412 km 05m18.8s
12:4054°33.8'N049°01.4'W51°57.9'N044°37.6'W53°14.3'N046°41.9'W 0.939 33° 134° 410 km 05m19.3s
12:4255°05.9'N048°03.2'W52°28.0'N043°43.4'W53°45.3'N045°45.8'W 0.939 33° 135° 407 km 05m19.8s
12:4455°38.1'N047°04.8'W52°58.1'N042°48.9'W54°16.5'N044°49.4'W 0.939 34° 137° 405 km 05m20.2s
12:4656°10.5'N046°06.1'W53°28.3'N041°54.0'W54°47.7'N043°52.6'W 0.939 34° 139° 403 km 05m20.6s
12:4856°43.0'N045°06.8'W53°58.5'N040°58.6'W55°19.0'N042°55.4'W 0.939 34° 141° 401 km 05m20.9s
12:5057°15.7'N044°06.9'W54°28.8'N040°02.6'W55°50.4'N041°57.5'W 0.939 34° 143° 399 km 05m21.1s
12:5257°48.5'N043°06.2'W54°59.2'N039°05.8'W56°21.9'N040°58.8'W 0.939 34° 145° 397 km 05m21.3s
12:5458°21.6'N042°04.6'W55°29.7'N038°08.2'W56°53.6'N039°59.1'W 0.939 34° 146° 395 km 05m21.4s
12:5658°54.8'N041°01.8'W56°00.3'N037°09.6'W57°25.4'N038°58.5'W 0.939 34° 148° 393 km 05m21.5s
12:5859°28.2'N039°57.6'W56°30.9'N036°09.8'W57°57.4'N037°56.6'W 0.939 34° 150° 392 km 05m21.5s
13:0060°01.9'N038°52.0'W57°01.7'N035°08.8'W58°29.5'N036°53.3'W 0.939 34° 152° 390 km 05m21.5s
13:0260°35.8'N037°44.7'W57°32.6'N034°06.3'W59°01.8'N035°48.5'W 0.939 34° 154° 389 km 05m21.4s
13:0461°09.9'N036°35.4'W58°03.5'N033°02.3'W59°34.2'N034°41.9'W 0.939 34° 156° 388 km 05m21.2s
13:0661°44.3'N035°24.0'W58°34.7'N031°56.6'W60°06.8'N033°33.4'W 0.939 34° 158° 387 km 05m21.0s
13:0862°18.9'N034°10.2'W59°05.9'N030°48.9'W60°39.6'N032°22.7'W 0.939 33° 161° 386 km 05m20.7s
13:1062°53.9'N032°53.6'W59°37.2'N029°39.1'W61°12.6'N031°09.6'W 0.939 33° 163° 385 km 05m20.4s
13:1263°29.1'N031°33.9'W60°08.7'N028°27.0'W61°45.9'N029°53.9'W 0.939 33° 165° 385 km 05m20.0s
13:1464°04.7'N030°10.8'W60°40.3'N027°12.3'W62°19.3'N028°35.3'W 0.939 33° 167° 384 km 05m19.5s
13:1664°40.5'N028°43.9'W61°12.0'N025°54.7'W62°52.9'N027°13.3'W 0.939 32° 169° 384 km 05m19.0s
13:1865°16.7'N027°12.7'W61°43.9'N024°34.1'W63°26.7'N025°47.7'W 0.939 32° 172° 384 km 05m18.4s
13:2065°53.2'N025°36.6'W62°15.9'N023°10.0'W64°00.7'N024°18.1'W 0.939 31° 174° 384 km 05m17.7s
13:2266°30.1'N023°55.0'W62°48.0'N021°42.1'W64°35.0'N022°44.0'W 0.939 31° 176° 384 km 05m17.0s
13:2467°07.2'N022°07.3'W63°20.2'N020°10.1'W65°09.4'N021°04.8'W 0.938 30° 179° 385 km 05m16.2s
13:2667°44.7'N020°12.5'W63°52.5'N018°33.4'W65°44.0'N019°20.0'W 0.938 30° 182° 385 km 05m15.3s
13:2868°22.6'N018°09.6'W64°24.8'N016°51.5'W66°18.8'N017°28.9'W 0.938 29° 184° 386 km 05m14.4s
13:3069°00.7'N015°57.5'W64°57.3'N015°04.0'W66°53.8'N015°30.6'W 0.938 28° 187° 387 km 05m13.4s
13:3269°39.1'N013°34.7'W65°29.7'N013°10.0'W67°28.9'N013°24.3'W 0.938 28° 190° 389 km 05m12.3s
13:3470°17.7'N010°59.6'W66°02.2'N011°09.0'W68°04.0'N011°08.8'W 0.938 27° 193° 390 km 05m11.1s
13:3670°56.4'N008°09.9'W66°34.6'N008°59.8'W68°39.2'N008°42.8'W 0.937 26° 196° 392 km 05m09.8s
13:3871°35.2'N005°03.1'W67°06.9'N006°41.6'W69°14.3'N006°04.7'W 0.937 25° 199° 394 km 05m08.5s
13:4072°13.9'N001°35.7'W67°39.0'N004°13.1'W69°49.3'N003°12.7'W 0.937 24° 203° 396 km 05m07.0s
13:4272°52.2'N002°16.4'E68°10.8'N001°32.9'W70°24.0'N000°04.3'W 0.937 23° 207° 399 km 05m05.5s
13:4473°29.8'N006°38.9'E68°42.2'N001°20.9'E70°58.1'N003°23.4'E 0.936 22° 211° 402 km 05m03.8s
13:4674°06.2'N011°39.2'E69°13.0'N004°30.4'E71°31.5'N007°14.1'E 0.936 21° 215° 406 km 05m02.0s
13:4874°40.5'N017°28.0'E69°42.9'N007°58.2'E72°03.7'N011°32.6'E 0.936 19° 220° 410 km 05m00.0s
13:5075°11.3'N024°20.6'E70°11.7'N011°47.8'E72°34.1'N016°25.4'E 0.935 18° 226° 415 km 04m57.8s
13:5275°36.2'N032°42.1'E70°38.8'N016°03.5'E73°01.9'N022°01.5'E 0.935 16° 232° 420 km 04m55.5s
13:5475°50.2'N043°21.0'E71°03.8'N020°51.4'E73°25.5'N028°34.6'E 0.935 14° 239° 427 km 04m52.8s
13:5675°37.9'N058°43.1'E71°25.5'N026°20.1'E73°42.7'N036°27.6'E 0.934 12° 247° 435 km 04m49.7s
13:58 - - 71°42.5'N032°43.1'E73°47.9'N046°28.5'E 0.933 257° 445 km 04m45.9s
14:00 - - 71°51.9'N040°24.8'E73°22.9'N061°27.8'E 0.932 272° 461 km 04m40.4s
Limits74°10.5'N081°07.6'E70°14.8'N075°06.2'E72°10.2'N077°48.0'E 0.931 - 479 km 04m34.4s

ΔT = 15.9 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse12:55:13.012:54:57.057°08.7'N039°34.4'W 34.2° 147.4° 394.1 km05m21.48s
Greatest Duration12:57:42.912:57:27.057°48.6'N038°13.7'W 34.2° 149.8° 392.1 km05m21.52s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Annular Solar Eclipse of 1791 Apr 03

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 1791 Apr 03 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 15.9 seconds for this eclipse. The uncertainty in ΔT is 1.3 seconds corresponding to a standard error in longitude of the eclipse path of ± 0.01°.

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.