Path of the Annular Solar Eclipse of -1759 Jan 31

Fred Espenak

Introduction

The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of -1759 Jan 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 -1759 Jan 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
Limits48°30.7'S045°07.0'W52°13.2'S051°02.4'W50°20.3'S047°55.3'W 0.915 - 576 km 05m15.6s
07:4055°54.3'S028°15.8'W - - 53°56.7'S039°45.4'W 0.916 118° 563 km 05m24.3s
07:4257°18.9'S024°52.5'W - - 56°23.9'S034°10.6'W 0.918 10° 113° 551 km 05m30.6s
07:4458°31.5'S021°51.5'W55°58.9'S042°33.1'W58°07.3'S030°08.4'W 0.918 13° 109° 541 km 05m35.2s
07:4659°35.5'S019°04.6'W58°28.7'S036°53.2'W59°31.7'S026°43.4'W 0.919 16° 105° 533 km 05m39.0s
07:4860°33.2'S016°26.9'W60°14.2'S032°46.1'W60°44.4'S023°39.1'W 0.919 18° 102° 525 km 05m42.4s
07:5061°25.8'S013°55.7'W61°40.3'S029°16.0'W61°48.9'S020°47.4'W 0.920 20° 98° 519 km 05m45.5s
07:5262°14.2'S011°29.1'W62°54.7'S026°05.8'W62°47.1'S018°04.1'W 0.920 21° 95° 512 km 05m48.3s
07:5462°58.8'S009°05.6'W64°00.8'S023°07.8'W63°40.3'S015°26.3'W 0.920 23° 92° 507 km 05m51.0s
07:5663°40.2'S006°44.4'W65°00.6'S020°17.1'W64°29.2'S012°52.3'W 0.921 24° 89° 501 km 05m53.4s
07:5864°18.7'S004°24.6'W65°55.2'S017°31.2'W65°14.5'S010°20.6'W 0.921 25° 86° 496 km 05m55.7s
08:0064°54.5'S002°05.6'W66°45.4'S014°48.0'W65°56.4'S007°50.3'W 0.921 26° 83° 491 km 05m57.9s
08:0265°27.7'S000°12.9'E67°31.8'S012°06.1'W66°35.3'S005°20.5'W 0.922 27° 80° 487 km 06m00.0s
08:0465°58.6'S002°31.5'E68°14.8'S009°24.5'W67°11.4'S002°50.7'W 0.922 28° 76° 483 km 06m01.9s
08:0666°27.3'S004°50.2'E68°54.7'S006°42.2'W67°44.9'S000°20.5'W 0.922 29° 73° 479 km 06m03.8s
08:0866°53.7'S007°09.4'E69°31.6'S003°58.8'W68°15.9'S002°10.6'E 0.922 30° 70° 475 km 06m05.6s
08:1067°18.1'S009°29.1'E70°05.8'S001°13.6'W68°44.5'S004°42.8'E 0.922 31° 67° 472 km 06m07.2s
08:1267°40.5'S011°49.5'E70°37.3'S001°33.6'E69°10.8'S007°16.2'E 0.923 32° 63° 469 km 06m08.8s
08:1468°00.9'S014°10.6'E71°06.2'S004°23.2'E69°34.9'S009°50.9'E 0.923 33° 60° 466 km 06m10.3s
08:1668°19.4'S016°32.3'E71°32.6'S007°15.2'E69°56.8'S012°27.0'E 0.923 33° 56° 463 km 06m11.7s
08:1868°35.9'S018°54.6'E71°56.5'S010°09.8'E70°16.5'S015°04.5'E 0.923 34° 53° 461 km 06m13.1s
08:2068°50.6'S021°17.5'E72°18.0'S013°06.8'E70°34.0'S017°43.2'E 0.923 35° 49° 458 km 06m14.3s
08:2269°03.4'S023°40.8'E72°37.0'S016°06.2'E70°49.5'S020°23.0'E 0.923 35° 46° 456 km 06m15.5s
08:2469°14.4'S026°04.4'E72°53.6'S019°07.6'E71°02.8'S023°03.7'E 0.923 36° 42° 454 km 06m16.6s
08:2669°23.6'S028°28.1'E73°07.7'S022°10.8'E71°14.1'S025°45.1'E 0.923 36° 38° 452 km 06m17.6s
08:2869°31.0'S030°51.7'E73°19.5'S025°15.5'E71°23.3'S028°26.9'E 0.924 37° 35° 451 km 06m18.6s
08:3069°36.7'S033°15.0'E73°28.8'S028°21.0'E71°30.5'S031°08.8'E 0.924 37° 31° 449 km 06m19.5s
08:3269°40.7'S035°37.8'E73°35.8'S031°26.9'E71°35.7'S033°50.5'E 0.924 38° 27° 448 km 06m20.3s
08:3469°42.9'S037°59.9'E73°40.5'S034°32.7'E71°38.9'S036°31.6'E 0.924 38° 23° 447 km 06m21.0s
08:3669°43.5'S040°21.1'E73°42.9'S037°37.7'E71°40.2'S039°11.7'E 0.924 39° 20° 446 km 06m21.7s
08:3869°42.4'S042°41.1'E73°43.0'S040°41.4'E71°39.6'S041°50.6'E 0.924 39° 16° 445 km 06m22.3s
08:4069°39.7'S044°59.7'E73°40.8'S043°43.3'E71°37.1'S044°27.9'E 0.924 39° 12° 444 km 06m22.8s
08:4269°35.5'S047°16.8'E73°36.6'S046°42.8'E71°32.8'S047°03.3'E 0.924 39° 443 km 06m23.3s
08:4469°29.7'S049°32.1'E73°30.2'S049°39.4'E71°26.8'S049°36.4'E 0.924 40° 443 km 06m23.6s
08:4669°22.5'S051°45.4'E73°21.8'S052°32.6'E71°19.0'S052°07.1'E 0.924 40° 443 km 06m24.0s
08:4869°13.8'S053°56.7'E73°11.5'S055°22.1'E71°09.6'S054°35.0'E 0.924 40° 357° 442 km 06m24.2s
08:5069°03.7'S056°05.8'E72°59.3'S058°07.6'E70°58.5'S057°00.0'E 0.924 40° 354° 442 km 06m24.4s
08:5268°52.2'S058°12.5'E72°45.3'S060°48.9'E70°45.9'S059°21.9'E 0.924 40° 350° 442 km 06m24.5s
08:5468°39.4'S060°16.9'E72°29.6'S063°25.6'E70°31.8'S061°40.6'E 0.924 40° 347° 443 km 06m24.5s
08:5668°25.3'S062°18.8'E72°12.3'S065°57.8'E70°16.3'S063°56.0'E 0.924 40° 344° 443 km 06m24.5s
08:5868°09.9'S064°18.1'E71°53.4'S068°25.4'E69°59.4'S066°08.1'E 0.924 40° 340° 444 km 06m24.4s
09:0067°53.4'S066°14.9'E71°33.1'S070°48.4'E69°41.1'S068°16.8'E 0.924 40° 337° 444 km 06m24.3s
09:0267°35.7'S068°09.2'E71°11.3'S073°06.9'E69°21.6'S070°22.2'E 0.924 40° 334° 445 km 06m24.0s
09:0467°16.8'S070°00.9'E70°48.2'S075°20.8'E69°00.9'S072°24.2'E 0.924 40° 330° 446 km 06m23.8s
09:0666°56.9'S071°50.1'E70°23.8'S077°30.4'E68°38.9'S074°23.0'E 0.924 40° 327° 447 km 06m23.4s
09:0866°35.8'S073°36.9'E69°58.2'S079°35.8'E68°15.8'S076°18.6'E 0.924 40° 324° 448 km 06m23.0s
09:1066°13.8'S075°21.3'E69°31.4'S081°37.2'E67°51.6'S078°11.1'E 0.924 39° 321° 449 km 06m22.5s
09:1265°50.7'S077°03.3'E69°03.4'S083°34.8'E67°26.4'S080°00.6'E 0.924 39° 318° 451 km 06m21.9s
09:1465°26.7'S078°43.1'E68°34.4'S085°28.7'E67°00.1'S081°47.3'E 0.924 39° 316° 452 km 06m21.3s
09:1665°01.6'S080°20.7'E68°04.4'S087°19.3'E66°32.8'S083°31.4'E 0.924 38° 313° 454 km 06m20.6s
09:1864°35.7'S081°56.3'E67°33.3'S089°06.6'E66°04.4'S085°12.8'E 0.924 38° 310° 456 km 06m19.8s
09:2064°08.8'S083°30.0'E67°01.2'S090°51.1'E65°35.2'S086°51.9'E 0.924 38° 307° 458 km 06m19.0s
09:2263°41.0'S085°01.8'E66°28.1'S092°32.9'E65°04.9'S088°28.8'E 0.924 37° 305° 460 km 06m18.1s
09:2463°12.2'S086°31.9'E65°54.0'S094°12.2'E64°33.7'S090°03.6'E 0.924 37° 302° 463 km 06m17.2s
09:2662°42.6'S088°00.5'E65°18.9'S095°49.4'E64°01.6'S091°36.6'E 0.923 36° 300° 465 km 06m16.1s
09:2862°12.1'S089°27.6'E64°42.8'S097°24.6'E63°28.5'S093°07.9'E 0.923 36° 297° 468 km 06m15.1s
09:3061°40.6'S090°53.4'E64°05.8'S098°58.1'E62°54.5'S094°37.7'E 0.923 35° 295° 471 km 06m13.9s
09:3261°08.2'S092°18.1'E63°27.7'S100°30.2'E62°19.5'S096°06.2'E 0.923 35° 292° 473 km 06m12.7s
09:3460°34.9'S093°41.9'E62°48.5'S102°01.2'E61°43.5'S097°33.6'E 0.923 34° 290° 477 km 06m11.4s
09:3660°00.7'S095°04.8'E62°08.2'S103°31.4'E61°06.4'S099°00.2'E 0.923 33° 288° 480 km 06m10.0s
09:3859°25.4'S096°27.1'E61°26.8'S105°01.0'E60°28.3'S100°26.1'E 0.923 33° 285° 483 km 06m08.6s
09:4058°49.1'S097°48.9'E60°44.2'S106°30.5'E59°49.2'S101°51.7'E 0.922 32° 283° 487 km 06m07.0s
09:4258°11.8'S099°10.5'E60°00.2'S108°00.1'E59°08.8'S103°17.2'E 0.922 31° 281° 491 km 06m05.4s
09:4457°33.4'S100°32.1'E59°14.8'S109°30.3'E58°27.2'S104°42.8'E 0.922 30° 279° 495 km 06m03.8s
09:4656°53.7'S101°54.0'E58°27.9'S111°01.5'E57°44.3'S106°09.0'E 0.922 29° 277° 499 km 06m02.0s
09:4856°12.8'S103°16.3'E57°39.2'S112°34.2'E56°59.9'S107°36.1'E 0.922 28° 275° 503 km 06m00.2s
09:5055°30.6'S104°39.5'E56°48.5'S114°09.2'E56°14.0'S109°04.4'E 0.921 27° 273° 508 km 05m58.2s
09:5254°46.9'S106°03.9'E55°55.6'S115°47.1'E55°26.2'S110°34.6'E 0.921 26° 270° 512 km 05m56.2s
09:5454°01.6'S107°29.9'E55°00.1'S117°29.0'E54°36.5'S112°07.3'E 0.921 25° 268° 517 km 05m54.0s
09:5653°14.4'S108°57.9'E54°01.4'S119°16.2'E53°44.6'S113°43.1'E 0.921 24° 266° 522 km 05m51.8s
09:5852°25.3'S110°28.7'E52°58.9'S121°10.5'E52°50.0'S115°23.1'E 0.920 22° 264° 528 km 05m49.4s
10:0051°33.8'S112°02.9'E51°51.4'S123°14.6'E51°52.2'S117°08.5'E 0.920 21° 262° 533 km 05m46.8s
10:0250°39.5'S113°41.6'E50°37.2'S125°32.8'E50°50.5'S119°01.2'E 0.920 19° 260° 539 km 05m44.0s
10:0449°42.0'S115°26.1'E49°13.1'S128°12.9'E49°43.8'S121°03.8'E 0.919 17° 258° 545 km 05m41.0s
10:0648°40.4'S117°18.1'E47°31.8'S131°32.5'E48°30.4'S123°20.6'E 0.919 15° 255° 551 km 05m37.7s
10:0847°33.7'S119°20.7'E45°06.5'S136°36.9'E47°06.9'S125°59.3'E 0.918 13° 253° 557 km 05m33.9s
10:1046°19.8'S121°38.1'E - - 45°26.3'S129°17.4'E 0.917 10° 250° 564 km 05m29.4s
10:1244°55.3'S124°18.9'E - - 43°01.7'S134°19.6'E 0.916 246° 571 km 05m22.9s
Limits38°26.1'S138°09.9'E42°24.0'S142°54.1'E40°22.7'S140°25.6'E 0.915 - 576 km 05m15.8s

ΔT = 40749.1 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse20:14:56.808:55:47.870°17.9'S106°32.7'W 40.2° 343.9° 443.0 km06m24.52s
Greatest Duration20:13:27.408:54:18.470°29.5'S062°01.5'E 40.1° 346.4° 442.7 km06m24.54s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Annular Solar Eclipse of -1759 Jan 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 -1759 Jan 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 40749.1 seconds for this eclipse. The uncertainty in ΔT is 2781.5 seconds corresponding to a standard error in longitude of the eclipse path of ± 11.62°.

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.