Path of the Annular Solar Eclipse of 1780 May 04

Fred Espenak

Introduction

The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of 1780 May 04 . 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 1780 May 04
UT1 Northern Limit Southern Limit Central Line M:S Sun Sun Path Central
Latitude Longitude Latitude Longitude Latitude Longitude Ratio Alt. Azm. Width Duration
Limits68°44.5'S040°52.1'W69°32.6'S038°29.5'W69°08.7'S039°42.8'W 0.976 - 130 km 01m40.7s
11:5661°43.0'S027°35.7'W65°46.9'S031°21.7'W63°23.4'S028°54.4'W 0.978 28° 114 km 01m37.6s
11:5859°13.1'S023°51.7'W61°47.5'S025°08.3'W60°24.3'S024°23.5'W 0.979 11° 23° 108 km 01m35.9s
12:0057°14.8'S021°09.2'W59°17.4'S021°42.7'W58°12.9'S021°23.4'W 0.980 14° 20° 103 km 01m34.5s
12:0255°34.0'S018°59.0'W57°18.5'S019°11.9'W56°24.2'S019°04.3'W 0.981 16° 18° 99 km 01m33.3s
12:0454°04.9'S017°09.3'W55°37.4'S017°10.4'W54°49.6'S017°09.3'W 0.981 18° 15° 96 km 01m32.3s
12:0652°44.3'S015°33.9'W54°08.0'S015°27.4'W53°24.9'S015°30.3'W 0.982 19° 13° 94 km 01m31.4s
12:0851°30.3'S014°09.0'W52°47.2'S013°57.4'W52°07.7'S014°03.0'W 0.982 21° 11° 92 km 01m30.5s
12:1050°21.5'S012°52.2'W51°32.9'S012°37.0'W50°56.4'S012°44.5'W 0.982 22° 10° 90 km 01m29.7s
12:1249°17.1'S011°41.9'W50°24.1'S011°24.0'W49°49.9'S011°33.0'W 0.983 24° 88 km 01m28.9s
12:1448°16.3'S010°36.8'W49°19.6'S010°17.0'W48°47.3'S010°27.0'W 0.983 25° 87 km 01m28.2s
12:1647°18.7'S009°36.1'W48°18.8'S009°14.9'W47°48.2'S009°25.6'W 0.983 26° 85 km 01m27.6s
12:1846°24.0'S008°39.0'W47°21.3'S008°16.7'W46°52.1'S008°28.0'W 0.984 27° 84 km 01m26.9s
12:2045°31.6'S007°45.1'W46°26.5'S007°21.9'W45°58.6'S007°33.6'W 0.984 28° 83 km 01m26.4s
12:2244°41.5'S006°53.8'W45°34.3'S006°29.9'W45°07.5'S006°42.0'W 0.984 29° 82 km 01m25.8s
12:2443°53.3'S006°04.9'W44°44.3'S005°40.4'W44°18.4'S005°52.8'W 0.984 29° 359° 81 km 01m25.3s
12:2643°07.0'S005°17.9'W43°56.3'S004°53.0'W43°31.3'S005°05.6'W 0.984 30° 357° 81 km 01m24.8s
12:2842°22.3'S004°32.7'W43°10.2'S004°07.5'W42°45.9'S004°20.3'W 0.985 31° 356° 80 km 01m24.3s
12:3041°39.2'S003°49.0'W42°25.7'S003°23.5'W42°02.1'S003°36.4'W 0.985 32° 355° 80 km 01m23.9s
12:3240°57.4'S003°06.7'W41°42.8'S002°40.9'W41°19.8'S002°54.0'W 0.985 32° 353° 79 km 01m23.5s
12:3440°17.0'S002°25.5'W41°01.4'S001°59.5'W40°38.9'S002°12.7'W 0.985 33° 352° 79 km 01m23.1s
12:3639°37.9'S001°45.3'W40°21.3'S001°19.2'W39°59.3'S001°32.4'W 0.985 33° 350° 79 km 01m22.8s
12:3838°59.9'S001°06.1'W39°42.5'S000°39.7'W39°20.9'S000°53.1'W 0.985 34° 349° 79 km 01m22.4s
12:4038°23.0'S000°27.6'W39°04.8'S000°01.1'W38°43.7'S000°14.5'W 0.985 34° 348° 79 km 01m22.1s
12:4237°47.2'S000°10.2'E38°28.3'S000°36.9'E38°07.5'S000°23.4'E 0.986 35° 346° 78 km 01m21.9s
12:4437°12.4'S000°47.5'E37°52.9'S001°14.3'E37°32.4'S001°00.7'E 0.986 35° 345° 79 km 01m21.6s
12:4636°38.5'S001°24.3'E37°18.5'S001°51.2'E36°58.2'S001°37.6'E 0.986 35° 343° 79 km 01m21.4s
12:4836°05.6'S002°00.6'E36°45.0'S002°27.7'E36°25.1'S002°14.0'E 0.986 35° 342° 79 km 01m21.2s
12:5035°33.5'S002°36.7'E36°12.6'S003°03.9'E35°52.8'S002°50.2'E 0.986 36° 341° 79 km 01m21.0s
12:5235°02.3'S003°12.5'E35°41.0'S003°39.9'E35°21.4'S003°26.0'E 0.986 36° 339° 79 km 01m20.9s
12:5434°31.9'S003°48.1'E35°10.3'S004°15.7'E34°50.9'S004°01.8'E 0.986 36° 338° 80 km 01m20.8s
12:5634°02.3'S004°23.6'E34°40.4'S004°51.4'E34°21.1'S004°37.4'E 0.986 36° 337° 80 km 01m20.7s
12:5833°33.5'S004°59.1'E34°11.4'S005°27.1'E33°52.2'S005°13.0'E 0.986 36° 335° 80 km 01m20.6s
13:0033°05.4'S005°34.6'E33°43.2'S006°02.9'E33°24.1'S005°48.6'E 0.986 36° 334° 81 km 01m20.6s
13:0232°38.1'S006°10.2'E33°15.8'S006°38.7'E32°56.8'S006°24.3'E 0.986 36° 333° 81 km 01m20.5s
13:0432°11.6'S006°45.9'E32°49.2'S007°14.8'E32°30.2'S007°00.2'E 0.986 36° 331° 82 km 01m20.5s
13:0631°45.7'S007°21.9'E32°23.3'S007°51.0'E32°04.3'S007°36.3'E 0.986 36° 330° 83 km 01m20.5s
13:0831°20.6'S007°58.1'E31°58.2'S008°27.6'E31°39.2'S008°12.6'E 0.986 36° 329° 83 km 01m20.6s
13:1030°56.2'S008°34.6'E31°33.9'S009°04.5'E31°14.8'S008°49.4'E 0.986 36° 327° 84 km 01m20.7s
13:1230°32.5'S009°11.6'E31°10.3'S009°41.9'E30°51.2'S009°26.5'E 0.986 36° 326° 85 km 01m20.7s
13:1430°09.5'S009°49.0'E30°47.5'S010°19.7'E30°28.3'S010°04.2'E 0.986 35° 325° 85 km 01m20.9s
13:1629°47.2'S010°26.9'E30°25.4'S010°58.2'E30°06.1'S010°42.4'E 0.986 35° 323° 86 km 01m21.0s
13:1829°25.7'S011°05.5'E30°04.1'S011°37.3'E29°44.6'S011°21.2'E 0.986 35° 322° 87 km 01m21.1s
13:2029°04.8'S011°44.7'E29°43.5'S012°17.2'E29°23.9'S012°00.8'E 0.986 34° 321° 88 km 01m21.3s
13:2228°44.7'S012°24.8'E29°23.7'S012°57.9'E29°04.0'S012°41.1'E 0.986 34° 320° 89 km 01m21.5s
13:2428°25.3'S013°05.7'E29°04.7'S013°39.6'E28°44.8'S013°22.4'E 0.986 34° 318° 90 km 01m21.8s
13:2628°06.7'S013°47.6'E28°46.6'S014°22.3'E28°26.4'S014°04.7'E 0.986 33° 317° 91 km 01m22.0s
13:2827°48.9'S014°30.5'E28°29.2'S015°06.1'E28°08.8'S014°48.1'E 0.985 33° 316° 91 km 01m22.3s
13:3027°31.8'S015°14.7'E28°12.8'S015°51.3'E27°52.0'S015°32.7'E 0.985 32° 315° 92 km 01m22.6s
13:3227°15.6'S016°00.2'E27°57.2'S016°37.9'E27°36.1'S016°18.8'E 0.985 31° 313° 93 km 01m22.9s
13:3427°00.3'S016°47.2'E27°42.6'S017°26.1'E27°21.1'S017°06.4'E 0.985 31° 312° 94 km 01m23.3s
13:3626°45.8'S017°35.8'E27°28.9'S018°16.2'E27°07.1'S017°55.7'E 0.985 30° 311° 95 km 01m23.6s
13:3826°32.4'S018°26.3'E27°16.3'S019°08.3'E26°54.0'S018°46.9'E 0.985 29° 310° 96 km 01m24.0s
13:4026°19.9'S019°18.9'E27°04.9'S020°02.6'E26°42.1'S019°40.4'E 0.984 28° 309° 97 km 01m24.5s
13:4226°08.5'S020°13.8'E26°54.6'S020°59.6'E26°31.2'S020°36.3'E 0.984 27° 308° 98 km 01m24.9s
13:4425°58.3'S021°11.4'E26°45.7'S021°59.6'E26°21.6'S021°35.0'E 0.984 26° 307° 99 km 01m25.4s
13:4625°49.4'S022°12.0'E26°38.2'S023°03.0'E26°13.4'S022°37.0'E 0.984 25° 305° 100 km 01m25.9s
13:4825°42.0'S023°16.2'E26°32.4'S024°10.4'E26°06.7'S023°42.7'E 0.984 24° 304° 101 km 01m26.5s
13:5025°36.1'S024°24.6'E26°28.4'S025°22.6'E26°01.8'S024°52.9'E 0.983 23° 303° 102 km 01m27.0s
13:5225°32.0'S025°37.8'E26°26.6'S026°40.7'E25°58.8'S026°08.4'E 0.983 22° 302° 103 km 01m27.7s
13:5425°30.1'S026°57.0'E26°27.4'S028°05.8'E25°58.2'S027°30.4'E 0.983 20° 301° 104 km 01m28.3s
13:5625°30.8'S028°23.5'E26°31.4'S029°40.1'E26°00.4'S029°00.5'E 0.982 19° 300° 106 km 01m29.1s
13:5825°34.6'S029°59.5'E26°39.5'S031°26.6'E26°06.2'S030°41.4'E 0.982 17° 298° 107 km 01m29.9s
14:0025°42.6'S031°48.2'E26°53.4'S033°30.6'E26°16.8'S032°36.9'E 0.981 15° 297° 109 km 01m30.8s
14:0225°56.3'S033°55.2'E27°16.2'S036°02.3'E26°34.5'S034°54.5'E 0.980 13° 296° 111 km 01m31.8s
14:0426°19.1'S036°31.5'E27°56.4'S039°29.6'E27°04.3'S037°51.0'E 0.980 10° 294° 114 km 01m33.0s
14:0627°00.3'S040°08.8'E - - 28°05.5'S042°31.0'E 0.978 291° 118 km 01m34.9s
Limits28°58.3'S047°54.5'E30°09.2'S047°54.3'E29°33.5'S047°54.4'E 0.977 - 124 km 01m36.8s

ΔT = 16.6 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse13:00:41.213:00:24.633°18.4'S005°51.7'E 36.2° 333.6° 81.0 km01m20.55s
Greatest Duration11:54:44.511:54:27.969°08.7'S039°42.8'W 0.0° 38.3° 129.5 km01m40.75s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Annular Solar Eclipse of 1780 May 04

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 1780 May 04 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 16.6 seconds for this eclipse. The uncertainty in ΔT is 1.8 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.