Path of the Annular Solar Eclipse of 1757 Aug 14

Fred Espenak

Introduction

The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of 1757 Aug 14 . 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 1757 Aug 14
UT1 Northern Limit Southern Limit Central Line M:S Sun Sun Path Central
Latitude Longitude Latitude Longitude Latitude Longitude Ratio Alt. Azm. Width Duration
Limits71°25.7'N080°54.1'E68°05.0'N092°57.4'E69°45.4'N087°33.8'E 0.934 - 590 km 04m07.1s
21:22 - - 75°18.1'N121°01.3'E72°45.1'N096°50.1'E 0.935 54° 571 km 04m11.0s
21:24 - - 76°28.1'N128°17.0'E75°33.9'N107°29.2'E 0.936 65° 550 km 04m14.9s
21:2672°11.7'N082°58.8'E77°22.3'N135°21.0'E77°17.6'N115°56.2'E 0.936 11° 74° 536 km 04m17.6s
21:2876°55.3'N097°54.2'E78°04.2'N142°22.6'E78°34.4'N123°59.8'E 0.937 13° 82° 526 km 04m19.7s
21:3079°01.1'N106°59.3'E78°35.8'N149°23.4'E79°33.4'N132°06.9'E 0.937 15° 91° 516 km 04m21.5s
21:3280°32.3'N115°50.1'E78°58.3'N156°22.1'E80°18.3'N140°26.4'E 0.938 16° 100° 509 km 04m23.0s
21:3481°42.2'N125°12.5'E79°12.5'N163°15.3'E80°50.9'N148°58.7'E 0.938 17° 109° 502 km 04m24.5s
21:3682°35.1'N135°24.6'E79°19.3'N169°58.5'E81°12.3'N157°37.7'E 0.938 18° 118° 496 km 04m25.7s
21:3883°12.3'N146°30.1'E79°19.5'N176°27.3'E81°23.5'N166°13.4'E 0.939 20° 128° 490 km 04m26.9s
21:4083°34.5'N158°12.6'E79°13.8'N177°22.3'W81°25.4'N174°33.9'E 0.939 20° 137° 486 km 04m28.0s
21:4283°42.4'N170°00.2'E79°02.9'N171°33.2'W81°19.2'N177°31.5'W 0.939 21° 145° 482 km 04m29.0s
21:4483°37.4'N178°44.3'W78°47.5'N166°06.9'W81°06.0'N170°10.5'W 0.939 22° 154° 478 km 04m29.9s
21:4683°21.6'N168°30.6'W78°28.3'N161°04.2'W80°46.9'N163°27.2'W 0.939 23° 161° 475 km 04m30.7s
21:4882°57.4'N159°32.4'W78°05.9'N156°24.4'W80°23.2'N157°22.5'W 0.940 24° 168° 472 km 04m31.4s
21:5082°26.9'N151°50.2'W77°40.8'N152°06.8'W79°55.7'N151°54.9'W 0.940 24° 174° 470 km 04m32.1s
21:5281°52.0'N145°16.4'W77°13.4'N148°09.7'W79°25.1'N147°01.2'W 0.940 25° 180° 468 km 04m32.7s
21:5481°13.9'N139°40.6'W76°44.2'N144°31.6'W78°52.3'N142°38.1'W 0.940 25° 185° 466 km 04m33.3s
21:5680°33.7'N134°52.6'W76°13.4'N141°10.7'W78°17.6'N138°41.7'W 0.940 26° 190° 465 km 04m33.8s
21:5879°52.0'N130°43.4'W75°41.3'N138°05.3'W77°41.5'N135°08.6'W 0.940 26° 194° 464 km 04m34.2s
22:0079°09.3'N127°05.7'W75°08.1'N135°13.8'W77°04.4'N131°55.6'W 0.940 26° 199° 463 km 04m34.6s
22:0278°25.9'N123°53.5'W74°34.0'N132°34.7'W76°26.3'N129°00.1'W 0.940 27° 202° 463 km 04m34.9s
22:0477°42.1'N121°02.1'W73°59.2'N130°06.6'W75°47.6'N126°19.4'W 0.940 27° 206° 463 km 04m35.2s
22:0676°58.0'N118°27.7'W73°23.7'N127°48.5'W75°08.4'N123°51.7'W 0.941 27° 209° 463 km 04m35.5s
22:0876°13.7'N116°07.4'W72°47.7'N125°39.0'W74°28.7'N121°35.1'W 0.941 27° 212° 463 km 04m35.6s
22:1075°29.3'N113°58.9'W72°11.3'N123°37.3'W73°48.8'N119°28.1'W 0.941 28° 215° 464 km 04m35.8s
22:1274°44.9'N112°00.1'W71°34.4'N121°42.6'W73°08.5'N117°29.4'W 0.941 28° 218° 465 km 04m35.8s
22:1474°00.5'N110°09.6'W70°57.2'N119°53.9'W72°28.0'N115°38.0'W 0.941 28° 221° 466 km 04m35.9s
22:1673°16.1'N108°25.9'W70°19.7'N118°10.7'W71°47.3'N113°52.8'W 0.941 28° 224° 467 km 04m35.8s
22:1872°31.6'N106°48.1'W69°41.9'N116°32.3'W71°06.5'N112°13.1'W 0.941 28° 226° 469 km 04m35.8s
22:2071°47.2'N105°15.1'W69°03.8'N114°58.2'W70°25.4'N110°38.1'W 0.941 28° 229° 471 km 04m35.7s
22:2271°02.7'N103°46.3'W68°25.5'N113°27.8'W69°44.3'N109°07.2'W 0.941 28° 231° 473 km 04m35.5s
22:2470°18.2'N102°20.9'W67°46.9'N112°00.8'W69°02.9'N107°39.8'W 0.941 28° 234° 475 km 04m35.3s
22:2669°33.5'N100°58.3'W67°08.0'N110°36.6'W68°21.4'N106°15.4'W 0.941 27° 236° 478 km 04m35.0s
22:2868°48.8'N099°38.1'W66°28.9'N109°15.0'W67°39.7'N104°53.5'W 0.941 27° 238° 480 km 04m34.7s
22:3068°04.0'N098°19.6'W65°49.6'N107°55.5'W66°57.8'N103°33.7'W 0.940 27° 240° 484 km 04m34.3s
22:3267°18.9'N097°02.5'W65°09.9'N106°37.8'W66°15.6'N102°15.7'W 0.940 27° 242° 487 km 04m33.9s
22:3466°33.6'N095°46.3'W64°30.0'N105°21.7'W65°33.2'N100°59.0'W 0.940 26° 244° 490 km 04m33.5s
22:3665°48.1'N094°30.6'W63°49.8'N104°06.7'W64°50.5'N099°43.3'W 0.940 26° 247° 494 km 04m33.0s
22:3865°02.2'N093°15.1'W63°09.2'N102°52.7'W64°07.5'N098°28.3'W 0.940 26° 249° 498 km 04m32.4s
22:4064°15.8'N091°59.1'W62°28.3'N101°39.3'W63°24.0'N097°13.5'W 0.940 25° 251° 502 km 04m31.8s
22:4263°29.0'N090°42.4'W61°46.9'N100°26.2'W62°40.2'N095°58.7'W 0.940 25° 253° 507 km 04m31.2s
22:4462°41.5'N089°24.5'W61°05.1'N099°13.2'W61°55.8'N094°43.4'W 0.940 24° 255° 512 km 04m30.5s
22:4661°53.4'N088°04.7'W60°22.8'N097°59.8'W61°10.9'N093°27.3'W 0.940 23° 257° 517 km 04m29.7s
22:4861°04.3'N086°42.4'W59°39.9'N096°45.9'W60°25.3'N092°09.9'W 0.940 23° 258° 522 km 04m28.9s
22:5060°14.2'N085°17.0'W58°56.4'N095°30.9'W59°38.9'N090°50.7'W 0.939 22° 260° 527 km 04m28.0s
22:5259°22.8'N083°47.3'W58°12.1'N094°14.6'W58°51.6'N089°29.2'W 0.939 21° 262° 532 km 04m27.0s
22:5458°29.8'N082°12.3'W57°27.1'N092°56.4'W58°03.2'N088°04.7'W 0.939 20° 264° 538 km 04m26.0s
22:5657°34.7'N080°30.2'W56°41.0'N091°35.8'W57°13.5'N086°36.2'W 0.939 19° 266° 544 km 04m24.8s
22:5856°37.0'N078°38.7'W55°53.8'N090°12.1'W56°22.2'N085°02.7'W 0.938 18° 268° 550 km 04m23.6s
23:0055°35.7'N076°33.8'W55°05.3'N088°44.6'W55°29.0'N083°22.7'W 0.938 17° 270° 555 km 04m22.3s
23:0254°28.9'N074°09.3'W54°15.1'N087°12.1'W54°33.2'N081°34.0'W 0.938 16° 273° 561 km 04m20.9s
23:0453°13.2'N071°10.9'W53°22.9'N085°33.2'W53°34.0'N079°33.5'W 0.937 14° 275° 567 km 04m19.3s
23:0651°37.8'N066°57.7'W52°28.2'N083°45.9'W52°30.0'N077°15.7'W 0.937 12° 277° 573 km 04m17.5s
23:08 - - 51°30.1'N081°47.1'W51°18.3'N074°30.2'W 0.936 10° 280° 578 km 04m15.3s
23:10 - - 50°27.3'N079°31.9'W49°51.9'N070°49.9'W 0.936 283° 582 km 04m12.6s
23:12 - - 49°17.1'N076°51.1'W47°08.8'N062°19.8'W 0.934 290° 584 km 04m06.8s
Limits49°11.5'N058°51.8'W44°45.4'N063°35.2'W46°53.6'N061°22.6'W 0.934 - 584 km 04m06.3s

ΔT = 13.9 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse22:16:44.722:16:30.871°36.9'N113°30.2'W 27.9° 224.4° 467.5 km04m35.82s
Greatest Duration22:14:22.322:14:08.572°25.1'N115°30.4'W 27.8° 221.3° 465.8 km04m35.86s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Annular Solar Eclipse of 1757 Aug 14

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 1757 Aug 14 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 13.9 seconds for this eclipse. The uncertainty in ΔT is 2.7 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.