Path of the Annular Solar Eclipse of 2759 Oct 13

Fred Espenak

Introduction

The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of 2759 Oct 13 . 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 2759 Oct 13
UT1 Northern Limit Southern Limit Central Line M:S Sun Sun Path Central
Latitude Longitude Latitude Longitude Latitude Longitude Ratio Alt. Azm. Width Duration
Limits76°32.2'N057°07.0'E72°01.4'N049°51.1'E74°14.6'N052°41.7'E 0.923 - 544 km 05m44.8s
04:10 - - 65°18.7'N080°15.2'E70°24.9'N071°56.9'E 0.925 138° 514 km 05m58.9s
04:12 - - 64°07.2'N083°51.5'E68°28.7'N078°54.9'E 0.925 10° 145° 503 km 06m05.7s
04:1473°13.0'N073°10.6'E63°03.0'N086°51.1'E66°58.3'N083°36.4'E 0.926 12° 150° 495 km 06m11.0s
04:1670°44.2'N081°47.3'E62°04.3'N089°25.5'E65°41.2'N087°13.6'E 0.926 14° 154° 490 km 06m15.5s
04:1868°59.3'N086°53.3'E61°09.8'N091°41.4'E64°32.9'N090°12.2'E 0.927 16° 157° 485 km 06m19.5s
04:2067°33.2'N090°39.2'E60°18.7'N093°43.0'E63°30.8'N092°44.9'E 0.927 17° 160° 482 km 06m23.1s
04:2266°18.4'N093°41.0'E59°30.4'N095°33.5'E62°33.5'N094°58.9'E 0.928 19° 163° 480 km 06m26.4s
04:2465°11.3'N096°14.4'E58°44.5'N097°14.8'E61°40.0'N096°58.6'E 0.928 20° 166° 478 km 06m29.4s
04:2664°10.0'N098°27.8'E58°00.8'N098°48.6'E60°49.8'N098°47.1'E 0.928 21° 168° 476 km 06m32.2s
04:2863°13.3'N100°26.5'E57°18.9'N100°16.1'E60°02.2'N100°26.6'E 0.928 22° 170° 475 km 06m34.8s
04:3062°20.4'N102°13.8'E56°38.6'N101°38.2'E59°17.0'N101°58.7'E 0.928 23° 172° 475 km 06m37.3s
04:3261°30.5'N103°52.1'E55°59.8'N102°55.6'E58°33.8'N103°24.7'E 0.929 24° 174° 475 km 06m39.5s
04:3460°43.4'N105°23.0'E55°22.4'N104°09.0'E57°52.4'N104°45.4'E 0.929 24° 176° 475 km 06m41.7s
04:3659°58.5'N106°47.8'E54°46.2'N105°19.0'E57°12.6'N106°01.7'E 0.929 25° 178° 475 km 06m43.7s
04:3859°15.7'N108°07.5'E54°11.1'N106°25.8'E56°34.3'N107°14.1'E 0.929 26° 180° 476 km 06m45.5s
04:4058°34.7'N109°22.9'E53°37.0'N107°30.0'E55°57.4'N108°23.2'E 0.929 26° 182° 477 km 06m47.3s
04:4257°55.4'N110°34.7'E53°04.0'N108°31.8'E55°21.6'N109°29.4'E 0.929 27° 184° 478 km 06m48.9s
04:4457°17.5'N111°43.2'E52°31.8'N109°31.4'E54°47.1'N110°33.0'E 0.930 28° 185° 479 km 06m50.4s
04:4656°41.0'N112°49.1'E52°00.4'N110°29.2'E54°13.5'N111°34.4'E 0.930 28° 187° 481 km 06m51.7s
04:4856°05.8'N113°52.5'E51°29.9'N111°25.3'E53°40.9'N112°33.9'E 0.930 28° 189° 483 km 06m53.0s
04:5055°31.7'N114°54.0'E51°00.1'N112°20.0'E53°09.3'N113°31.7'E 0.930 29° 191° 485 km 06m54.1s
04:5254°58.7'N115°53.6'E50°31.1'N113°13.4'E52°38.5'N114°27.9'E 0.930 29° 192° 487 km 06m55.2s
04:5454°26.7'N116°51.8'E50°02.7'N114°05.6'E52°08.6'N115°22.9'E 0.930 29° 194° 489 km 06m56.1s
04:5653°55.7'N117°48.6'E49°34.9'N114°56.8'E51°39.4'N116°16.7'E 0.930 30° 196° 492 km 06m56.9s
04:5853°25.6'N118°44.3'E49°07.8'N115°47.1'E51°11.0'N117°09.5'E 0.930 30° 197° 494 km 06m57.6s
05:0052°56.3'N119°39.0'E48°41.3'N116°36.7'E50°43.2'N118°01.4'E 0.930 30° 199° 497 km 06m58.2s
05:0252°27.9'N120°33.0'E48°15.4'N117°25.6'E50°16.2'N118°52.7'E 0.930 30° 200° 500 km 06m58.7s
05:0452°00.2'N121°26.3'E47°50.0'N118°14.0'E49°49.8'N119°43.4'E 0.930 30° 202° 503 km 06m59.1s
05:0651°33.3'N122°19.1'E47°25.2'N119°01.9'E49°24.0'N120°33.6'E 0.930 30° 204° 506 km 06m59.4s
05:0851°07.1'N123°11.6'E47°00.9'N119°49.5'E48°58.9'N121°23.4'E 0.930 30° 205° 509 km 06m59.5s
05:1050°41.6'N124°03.9'E46°37.1'N120°36.9'E48°34.3'N122°13.0'E 0.930 30° 207° 512 km 06m59.6s
05:1250°16.8'N124°56.1'E46°13.8'N121°24.1'E48°10.4'N123°02.5'E 0.930 30° 208° 515 km 06m59.5s
05:1449°52.6'N125°48.3'E45°51.0'N122°11.2'E47°47.0'N123°51.9'E 0.930 30° 210° 519 km 06m59.4s
05:1649°29.2'N126°40.6'E45°28.7'N122°58.4'E47°24.1'N124°41.5'E 0.930 30° 211° 522 km 06m59.1s
05:1849°06.3'N127°33.3'E45°06.8'N123°45.7'E47°01.8'N125°31.2'E 0.930 30° 213° 525 km 06m58.7s
05:2048°44.1'N128°26.4'E44°45.5'N124°33.2'E46°40.0'N126°21.2'E 0.930 30° 214° 528 km 06m58.2s
05:2248°22.5'N129°20.0'E44°24.5'N125°21.0'E46°18.8'N127°11.6'E 0.930 29° 216° 531 km 06m57.6s
05:2448°01.6'N130°14.4'E44°04.1'N126°09.3'E45°58.1'N128°02.6'E 0.930 29° 217° 535 km 06m56.9s
05:2647°41.2'N131°09.6'E43°44.1'N126°58.0'E45°38.0'N128°54.2'E 0.930 29° 219° 538 km 06m56.0s
05:2847°21.5'N132°05.8'E43°24.6'N127°47.4'E45°18.3'N129°46.5'E 0.930 28° 220° 540 km 06m55.1s
05:3047°02.5'N133°03.3'E43°05.6'N128°37.5'E44°59.3'N130°39.8'E 0.930 28° 222° 543 km 06m54.0s
05:3246°44.1'N134°02.2'E42°47.0'N129°28.4'E44°40.8'N131°34.2'E 0.929 28° 223° 546 km 06m52.8s
05:3446°26.4'N135°02.8'E42°28.9'N130°20.4'E44°22.8'N132°29.9'E 0.929 27° 225° 548 km 06m51.4s
05:3646°09.4'N136°05.3'E42°11.3'N131°13.4'E44°05.4'N133°26.9'E 0.929 27° 226° 550 km 06m49.9s
05:3845°53.1'N137°10.1'E41°54.2'N132°07.8'E43°48.6'N134°25.7'E 0.929 26° 228° 552 km 06m48.3s
05:4045°37.6'N138°17.5'E41°37.6'N133°03.7'E43°32.5'N135°26.4'E 0.929 25° 229° 554 km 06m46.6s
05:4245°22.9'N139°28.0'E41°21.6'N134°01.3'E43°16.9'N136°29.3'E 0.929 25° 231° 555 km 06m44.7s
05:4445°09.1'N140°42.1'E41°06.1'N135°00.8'E43°02.1'N137°34.7'E 0.929 24° 232° 556 km 06m42.6s
05:4644°56.3'N142°00.6'E40°51.2'N136°02.6'E42°48.0'N138°43.1'E 0.928 23° 234° 557 km 06m40.4s
05:4844°44.6'N143°24.2'E40°36.9'N137°06.9'E42°34.7'N139°55.0'E 0.928 22° 235° 558 km 06m38.0s
05:5044°34.2'N144°54.3'E40°23.4'N138°14.2'E42°22.3'N141°10.9'E 0.928 21° 237° 558 km 06m35.5s
05:5244°25.3'N146°32.4'E40°10.5'N139°24.9'E42°10.9'N142°31.8'E 0.928 20° 239° 558 km 06m32.7s
05:5444°18.2'N148°21.0'E39°58.5'N140°39.6'E42°00.6'N143°58.6'E 0.927 19° 240° 557 km 06m29.7s
05:5644°13.6'N150°24.0'E39°47.4'N141°59.2'E41°51.6'N145°32.9'E 0.927 18° 242° 556 km 06m26.4s
05:5844°12.2'N152°48.2'E39°37.3'N143°24.6'E41°44.3'N147°16.6'E 0.927 16° 244° 555 km 06m22.8s
06:0044°16.3'N155°47.7'E39°28.5'N144°57.3'E41°38.9'N149°13.0'E 0.926 15° 245° 553 km 06m18.8s
06:0244°32.0'N160°06.7'E39°21.1'N146°39.1'E41°36.4'N151°27.4'E 0.926 13° 247° 551 km 06m14.2s
06:04 - - 39°15.6'N148°33.0'E41°38.0'N154°10.1'E 0.925 11° 250° 549 km 06m08.9s
06:06 - - 39°12.6'N150°44.0'E41°47.3'N157°47.2'E 0.925 253° 546 km 06m02.1s
06:08 - - 39°13.3'N153°21.2'E42°28.5'N165°17.1'E 0.923 258° 543 km 05m49.6s
Limits45°25.9'N168°03.7'E40°17.7'N167°04.1'E42°45.9'N167°33.3'E 0.923 - 543 km 05m46.2s

ΔT = 2534.0 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse05:50:12.705:07:58.748°59.2'N110°47.6'E 30.3° 205.1° 508.9 km06m59.52s
Greatest Duration05:52:16.705:10:02.648°33.8'N122°14.1'E 30.3° 206.7° 512.2 km06m59.58s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Annular Solar Eclipse of 2759 Oct 13

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 2759 Oct 13 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 2534.0 seconds for this eclipse. The uncertainty in ΔT is 588.0 seconds corresponding to a standard error in longitude of the eclipse path of ± 2.46°.

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.