Path of the Annular Solar Eclipse of 1176 Oct 04

Fred Espenak

Introduction

The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of 1176 Oct 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 1176 Oct 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
Limits39°45.6'S142°54.2'W44°07.1'S145°51.9'W41°52.2'S144°18.6'W 0.933 - 515 km 04m20.8s
15:0043°00.3'S127°35.3'W - - 43°25.5'S135°14.6'W 0.934 93° 516 km 04m28.1s
15:0243°45.4'S125°11.5'W - - 44°22.4'S131°18.9'W 0.935 10° 90° 515 km 04m31.7s
15:0444°27.7'S123°07.8'W45°37.6'S136°44.1'W45°11.1'S128°26.5'W 0.936 13° 87° 514 km 04m34.5s
15:0645°08.2'S121°17.9'W46°34.6'S132°43.9'W45°55.9'S126°05.0'W 0.936 15° 85° 511 km 04m36.8s
15:0845°47.3'S119°38.1'W47°23.5'S129°49.3'W46°38.1'S124°02.6'W 0.937 16° 83° 509 km 04m38.9s
15:1046°25.4'S118°06.0'W48°08.5'S127°26.3'W47°18.7'S122°13.5'W 0.937 18° 81° 506 km 04m40.7s
15:1247°02.6'S116°40.0'W48°51.1'S125°22.8'W47°58.0'S120°34.0'W 0.937 19° 79° 503 km 04m42.4s
15:1447°39.1'S115°18.9'W49°32.2'S123°32.5'W48°36.3'S119°01.9'W 0.938 20° 77° 499 km 04m44.0s
15:1648°15.1'S114°01.9'W50°12.0'S121°52.1'W49°13.9'S117°35.8'W 0.938 21° 76° 496 km 04m45.4s
15:1848°50.6'S112°48.2'W50°51.0'S120°19.1'W49°50.9'S116°14.4'W 0.938 22° 74° 492 km 04m46.8s
15:2049°25.7'S111°37.3'W51°29.4'S118°52.0'W50°27.4'S114°56.9'W 0.938 23° 72° 488 km 04m48.0s
15:2250°00.5'S110°28.7'W52°07.1'S117°29.6'W51°03.6'S113°42.6'W 0.939 24° 70° 484 km 04m49.2s
15:2450°35.1'S109°22.1'W52°44.5'S116°11.0'W51°39.4'S112°31.0'W 0.939 25° 69° 480 km 04m50.3s
15:2651°09.4'S108°17.1'W53°21.6'S114°55.7'W52°15.0'S111°21.6'W 0.939 26° 67° 477 km 04m51.3s
15:2851°43.6'S107°13.5'W53°58.4'S113°42.9'W52°50.4'S110°14.0'W 0.939 26° 65° 473 km 04m52.3s
15:3052°17.6'S106°10.9'W54°35.0'S112°32.2'W53°25.6'S109°07.9'W 0.939 27° 63° 469 km 04m53.2s
15:3252°51.5'S105°09.3'W55°11.5'S111°23.3'W54°00.6'S108°03.0'W 0.939 28° 62° 465 km 04m54.0s
15:3453°25.2'S104°08.3'W55°47.9'S110°15.7'W54°35.6'S106°59.0'W 0.939 28° 60° 462 km 04m54.8s
15:3653°58.9'S103°07.7'W56°24.2'S109°09.3'W55°10.6'S105°55.8'W 0.940 28° 58° 458 km 04m55.5s
15:3854°32.6'S102°07.5'W57°00.5'S108°03.6'W55°45.4'S104°53.1'W 0.940 29° 56° 455 km 04m56.2s
15:4055°06.2'S101°07.4'W57°36.9'S106°58.6'W56°20.3'S103°50.6'W 0.940 29° 54° 451 km 04m56.8s
15:4255°39.8'S100°07.3'W58°13.2'S105°53.8'W56°55.2'S102°48.3'W 0.940 30° 53° 448 km 04m57.3s
15:4456°13.4'S099°07.0'W58°49.7'S104°49.2'W57°30.1'S101°45.9'W 0.940 30° 51° 445 km 04m57.8s
15:4656°47.0'S098°06.3'W59°26.2'S103°44.4'W58°05.1'S100°43.2'W 0.940 30° 49° 442 km 04m58.3s
15:4857°20.6'S097°05.1'W60°02.8'S102°39.4'W58°40.2'S099°40.1'W 0.940 30° 47° 440 km 04m58.6s
15:5057°54.3'S096°03.3'W60°39.6'S101°33.7'W59°15.3'S098°36.4'W 0.940 31° 45° 437 km 04m59.0s
15:5258°28.0'S095°00.6'W61°16.5'S100°27.4'W59°50.5'S097°31.8'W 0.940 31° 43° 435 km 04m59.2s
15:5459°01.8'S093°57.0'W61°53.7'S099°20.0'W60°25.8'S096°26.3'W 0.940 31° 41° 432 km 04m59.5s
15:5659°35.7'S092°52.2'W62°31.0'S098°11.4'W61°01.3'S095°19.5'W 0.940 31° 39° 430 km 04m59.6s
15:5860°09.6'S091°46.0'W63°08.6'S097°01.3'W61°36.9'S094°11.3'W 0.940 31° 37° 428 km 04m59.7s
16:0060°43.7'S090°38.4'W63°46.4'S095°49.5'W62°12.7'S093°01.4'W 0.940 31° 35° 426 km 04m59.8s
16:0261°17.8'S089°28.9'W64°24.4'S094°35.7'W62°48.7'S091°49.7'W 0.940 31° 33° 425 km 04m59.8s
16:0461°52.1'S088°17.6'W65°02.8'S093°19.5'W63°24.8'S090°35.8'W 0.940 31° 31° 423 km 04m59.8s
16:0662°26.4'S087°04.0'W65°41.5'S092°00.6'W64°01.1'S089°19.5'W 0.940 31° 29° 422 km 04m59.7s
16:0863°00.9'S085°47.9'W66°20.4'S090°38.6'W64°37.7'S088°00.4'W 0.940 30° 26° 421 km 04m59.5s
16:1063°35.5'S084°29.1'W66°59.8'S089°13.1'W65°14.4'S086°38.1'W 0.940 30° 24° 420 km 04m59.3s
16:1264°10.2'S083°07.3'W67°39.5'S087°43.4'W65°51.4'S085°12.4'W 0.940 30° 22° 419 km 04m59.0s
16:1464°45.0'S081°42.0'W68°19.5'S086°09.2'W66°28.6'S083°42.6'W 0.940 30° 19° 419 km 04m58.7s
16:1665°19.9'S080°12.9'W69°00.0'S084°29.6'W67°06.0'S082°08.4'W 0.940 29° 17° 419 km 04m58.3s
16:1865°55.0'S078°39.6'W69°40.9'S082°43.9'W67°43.6'S080°29.2'W 0.939 29° 14° 419 km 04m57.9s
16:2066°30.1'S077°01.6'W70°22.1'S080°51.1'W68°21.5'S078°44.2'W 0.939 28° 12° 419 km 04m57.3s
16:2267°05.4'S075°18.3'W71°03.8'S078°50.2'W68°59.6'S076°52.8'W 0.939 28° 419 km 04m56.8s
16:2467°40.7'S073°29.0'W71°45.9'S076°39.7'W69°37.9'S074°53.9'W 0.939 27° 420 km 04m56.1s
16:2668°16.0'S071°33.1'W72°28.4'S074°18.1'W70°16.3'S072°46.6'W 0.939 27° 421 km 04m55.4s
16:2868°51.3'S069°29.7'W73°11.2'S071°43.3'W70°54.9'S070°29.7'W 0.939 26° 422 km 04m54.6s
16:3069°26.6'S067°17.9'W73°54.4'S068°52.8'W71°33.5'S068°01.5'W 0.939 26° 357° 423 km 04m53.8s
16:3270°01.7'S064°56.4'W74°37.6'S065°43.6'W72°12.2'S065°20.5'W 0.938 25° 354° 425 km 04m52.9s
16:3470°36.7'S062°24.1'W75°21.0'S062°11.6'W72°50.7'S062°24.3'W 0.938 24° 350° 427 km 04m51.9s
16:3671°11.3'S059°39.3'W76°04.0'S058°11.8'W73°28.9'S059°10.5'W 0.938 23° 346° 429 km 04m50.8s
16:3871°45.5'S056°40.3'W76°46.5'S053°37.7'W74°06.6'S055°35.7'W 0.938 22° 342° 432 km 04m49.6s
16:4072°19.0'S053°24.8'W77°27.7'S048°20.6'W74°43.5'S051°36.2'W 0.938 21° 337° 435 km 04m48.3s
16:4272°51.6'S049°50.2'W78°06.9'S042°09.3'W75°19.2'S047°06.9'W 0.937 20° 332° 439 km 04m46.9s
16:4473°23.0'S045°53.5'W78°42.4'S034°48.9'W75°52.9'S042°01.9'W 0.937 19° 326° 443 km 04m45.4s
16:4673°52.6'S041°30.7'W79°12.0'S026°00.1'W76°24.0'S036°13.3'W 0.937 18° 320° 448 km 04m43.7s
16:4874°20.0'S036°37.2'W79°31.6'S015°16.8'W76°51.0'S029°31.3'W 0.936 16° 312° 454 km 04m41.8s
16:5074°44.1'S031°07.1'W79°33.9'S002°00.6'W77°11.9'S021°43.0'W 0.936 15° 304° 461 km 04m39.7s
16:5275°03.9'S024°52.9'W79°01.1'S015°16.1'E77°23.5'S012°30.2'W 0.935 13° 294° 469 km 04m37.3s
16:5475°17.4'S017°44.0'W - - 77°19.9'S001°21.8'W 0.935 10° 283° 479 km 04m34.5s
16:5675°21.7'S009°24.6'W - - 76°47.0'S013°00.6'E 0.934 268° 493 km 04m30.7s
Limits72°18.4'S034°47.3'E76°14.2'S044°30.9'E74°14.5'S039°00.9'E 0.932 - 523 km 04m23.2s

ΔT = 798.0 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse16:11:26.815:58:08.861°39.6'S097°26.3'W 30.9° 36.9° 428.0 km04m59.75s
Greatest Duration16:14:34.316:01:16.462°35.6'S092°16.0'W 30.8° 33.7° 425.3 km04m59.82s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Annular Solar Eclipse of 1176 Oct 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 1176 Oct 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 798.0 seconds for this eclipse. The uncertainty in ΔT is 33.1 seconds corresponding to a standard error in longitude of the eclipse path of ± 0.14°.

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.