Path of the Annular Solar Eclipse of -1178 Oct 20

Fred Espenak

Introduction

The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of -1178 Oct 20 . 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 -1178 Oct 20
UT1 Northern Limit Southern Limit Central Line M:S Sun Sun Path Central
Latitude Longitude Latitude Longitude Latitude Longitude Ratio Alt. Azm. Width Duration
Limits36°00.7'N113°18.4'W32°49.1'N113°47.1'W34°24.8'N113°32.5'W 0.907 - 357 km 06m40.5s
13:44 - - 32°16.5'N109°39.1'W33°54.4'N109°45.2'W 0.908 100° 354 km 06m46.6s
13:4633°46.9'N100°42.3'W30°49.4'N101°51.6'W32°16.9'N101°11.4'W 0.910 11° 105° 345 km 07m02.3s
13:4832°35.5'N096°11.4'W29°46.8'N097°41.8'W31°10.3'N096°53.3'W 0.911 15° 108° 341 km 07m11.2s
13:5031°34.1'N092°54.4'W28°51.8'N094°35.7'W30°12.3'N093°42.8'W 0.912 19° 110° 338 km 07m18.3s
13:5230°38.1'N090°15.8'W28°00.9'N092°04.1'W29°19.0'N091°08.2'W 0.912 21° 111° 336 km 07m24.5s
13:5429°45.6'N088°01.6'W27°12.9'N089°54.9'W28°28.8'N088°56.9'W 0.913 24° 113° 333 km 07m30.0s
13:5628°55.7'N086°04.7'W26°27.0'N088°01.8'W27°41.0'N087°02.1'W 0.913 26° 114° 331 km 07m35.0s
13:5828°07.9'N084°20.9'W25°42.7'N086°20.8'W26°55.0'N085°20.0'W 0.914 28° 115° 330 km 07m39.7s
14:0027°21.7'N082°47.3'W24°59.8'N084°49.6'W26°10.5'N083°47.7'W 0.914 30° 116° 328 km 07m44.1s
14:0226°37.0'N081°22.1'W24°18.0'N083°26.3'W25°27.3'N082°23.6'W 0.915 32° 117° 327 km 07m48.2s
14:0425°53.4'N080°03.8'W23°37.3'N082°09.6'W24°45.2'N081°06.1'W 0.915 34° 118° 325 km 07m52.1s
14:0625°10.9'N078°51.5'W22°57.4'N080°58.5'W24°04.0'N079°54.5'W 0.915 35° 118° 324 km 07m55.8s
14:0824°29.4'N077°44.1'W22°18.2'N079°52.2'W23°23.7'N078°47.7'W 0.916 37° 119° 323 km 07m59.4s
14:1023°48.6'N076°41.2'W21°39.8'N078°50.1'W22°44.1'N077°45.3'W 0.916 39° 120° 322 km 08m02.8s
14:1223°08.6'N075°42.1'W21°01.9'N077°51.7'W22°05.2'N076°46.6'W 0.916 40° 120° 320 km 08m06.0s
14:1422°29.3'N074°46.4'W20°24.7'N076°56.7'W21°27.0'N075°51.3'W 0.917 42° 121° 319 km 08m09.2s
14:1621°50.7'N073°53.8'W19°47.9'N076°04.5'W20°49.3'N074°58.9'W 0.917 43° 122° 318 km 08m12.2s
14:1821°12.6'N073°04.0'W19°11.7'N075°15.1'W20°12.1'N074°09.3'W 0.917 44° 122° 317 km 08m15.1s
14:2020°35.1'N072°16.6'W18°35.9'N074°28.0'W19°35.5'N073°22.1'W 0.917 46° 123° 316 km 08m17.9s
14:2219°58.1'N071°31.4'W18°00.5'N073°43.1'W18°59.3'N072°37.1'W 0.918 47° 123° 315 km 08m20.6s
14:2419°21.5'N070°48.3'W17°25.5'N073°00.2'W18°23.5'N071°54.0'W 0.918 48° 124° 314 km 08m23.2s
14:2618°45.4'N070°07.0'W16°50.8'N072°19.0'W17°48.1'N071°12.9'W 0.918 50° 125° 313 km 08m25.7s
14:2818°09.7'N069°27.5'W16°16.6'N071°39.6'W17°13.1'N070°33.4'W 0.918 51° 125° 313 km 08m28.2s
14:3017°34.5'N068°49.5'W15°42.6'N071°01.7'W16°38.5'N069°55.5'W 0.918 52° 126° 312 km 08m30.5s
14:3216°59.6'N068°13.0'W15°08.9'N070°25.2'W16°04.2'N069°18.9'W 0.919 53° 126° 311 km 08m32.8s
14:3416°25.0'N067°37.8'W14°35.6'N069°50.0'W15°30.3'N068°43.7'W 0.919 54° 127° 310 km 08m35.0s
14:3615°50.8'N067°03.8'W14°02.5'N069°16.0'W14°56.6'N068°09.8'W 0.919 56° 127° 309 km 08m37.2s
14:3815°16.9'N066°30.9'W13°29.6'N068°43.1'W14°23.3'N067°36.9'W 0.919 57° 128° 309 km 08m39.3s
14:4014°43.4'N065°59.2'W12°57.1'N068°11.3'W13°50.2'N067°05.1'W 0.919 58° 128° 308 km 08m41.3s
14:4214°10.1'N065°28.4'W12°24.7'N067°40.4'W13°17.4'N066°34.3'W 0.919 59° 129° 307 km 08m43.2s
14:4413°37.1'N064°58.5'W11°52.6'N067°10.4'W12°44.9'N066°04.4'W 0.919 60° 129° 306 km 08m45.1s
14:4613°04.4'N064°29.4'W11°20.8'N066°41.3'W12°12.6'N065°35.3'W 0.920 61° 130° 306 km 08m47.0s
14:4812°31.9'N064°01.2'W10°49.1'N066°12.9'W11°40.5'N065°06.9'W 0.920 62° 130° 305 km 08m48.7s
14:5011°59.7'N063°33.6'W10°17.6'N065°45.2'W11°08.6'N064°39.4'W 0.920 63° 131° 304 km 08m50.4s
14:5211°27.7'N063°06.8'W09°46.3'N065°18.3'W10°37.0'N064°12.4'W 0.920 64° 132° 304 km 08m52.1s
14:5410°56.0'N062°40.5'W09°15.2'N064°51.9'W10°05.6'N063°46.2'W 0.920 65° 132° 303 km 08m53.7s
14:5610°24.5'N062°14.9'W08°44.3'N064°26.2'W09°34.4'N063°20.5'W 0.920 66° 133° 303 km 08m55.3s
14:5809°53.2'N061°49.8'W08°13.6'N064°00.9'W09°03.4'N062°55.3'W 0.920 67° 134° 302 km 08m56.8s
15:0009°22.2'N061°25.2'W07°43.0'N063°36.2'W08°32.6'N062°30.6'W 0.920 68° 134° 302 km 08m58.2s
15:0208°51.3'N061°01.1'W07°12.6'N063°11.9'W08°01.9'N062°06.4'W 0.920 69° 135° 301 km 08m59.6s
15:0408°20.7'N060°37.4'W06°42.4'N062°48.1'W07°31.4'N061°42.7'W 0.921 70° 136° 301 km 09m01.0s
15:0607°50.2'N060°14.1'W06°12.2'N062°24.6'W07°01.1'N061°19.3'W 0.921 71° 137° 301 km 09m02.3s
15:0807°19.9'N059°51.1'W05°42.3'N062°01.6'W06°31.0'N060°56.3'W 0.921 72° 138° 300 km 09m03.6s
15:1006°49.8'N059°28.5'W05°12.5'N061°38.8'W06°01.0'N060°33.6'W 0.921 73° 139° 300 km 09m04.8s
15:1206°19.9'N059°06.2'W04°42.8'N061°16.4'W05°31.2'N060°11.2'W 0.921 74° 141° 300 km 09m05.9s
15:1405°50.1'N058°44.1'W04°13.2'N060°54.2'W05°01.6'N059°49.1'W 0.921 75° 142° 299 km 09m07.1s
15:1605°20.6'N058°22.3'W03°43.8'N060°32.3'W04°32.1'N059°27.3'W 0.921 76° 144° 299 km 09m08.1s
15:1804°51.1'N058°00.8'W03°14.5'N060°10.6'W04°02.7'N059°05.6'W 0.921 77° 145° 299 km 09m09.2s
15:2004°21.9'N057°39.4'W02°45.3'N059°49.1'W03°33.5'N058°44.2'W 0.921 78° 148° 299 km 09m10.1s
15:2203°52.8'N057°18.2'W02°16.3'N059°27.7'W03°04.4'N058°22.9'W 0.921 79° 150° 299 km 09m11.1s
15:2403°23.8'N056°57.1'W01°47.3'N059°06.6'W02°35.4'N058°01.8'W 0.921 80° 153° 299 km 09m12.0s
15:2602°55.1'N056°36.2'W01°18.5'N058°45.5'W02°06.6'N057°40.8'W 0.921 80° 156° 299 km 09m12.8s
15:2802°26.4'N056°15.3'W00°49.8'N058°24.5'W01°37.9'N057°19.9'W 0.921 81° 159° 299 km 09m13.6s
15:3001°57.9'N055°54.5'W00°21.1'N058°03.7'W01°09.3'N056°59.1'W 0.921 82° 164° 299 km 09m14.3s
15:3201°29.5'N055°33.8'W00°07.4'S057°42.8'W00°40.9'N056°38.3'W 0.921 82° 169° 299 km 09m15.0s
15:3401°01.3'N055°13.1'W00°35.8'S057°22.1'W00°12.5'N056°17.6'W 0.921 83° 175° 299 km 09m15.7s
15:3600°33.2'N054°52.5'W01°04.1'S057°01.3'W00°15.7'S055°56.8'W 0.921 84° 182° 299 km 09m16.3s
15:3800°05.3'N054°31.8'W01°32.4'S056°40.5'W00°43.8'S055°36.1'W 0.921 84° 190° 299 km 09m16.8s
15:4000°22.6'S054°11.1'W02°00.5'S056°19.7'W01°11.8'S055°15.4'W 0.921 84° 199° 299 km 09m17.3s
15:4200°50.3'S053°50.4'W02°28.5'S055°58.8'W01°39.6'S054°54.6'W 0.921 84° 209° 299 km 09m17.8s
15:4401°17.8'S053°29.5'W02°56.5'S055°37.9'W02°07.4'S054°33.7'W 0.921 84° 218° 299 km 09m18.2s
15:4601°45.3'S053°08.6'W03°24.3'S055°16.9'W02°35.1'S054°12.7'W 0.921 84° 227° 300 km 09m18.5s
15:4802°12.6'S052°47.6'W03°52.1'S054°55.8'W03°02.6'S053°51.6'W 0.921 84° 235° 300 km 09m18.8s
15:5002°39.8'S052°26.4'W04°19.8'S054°34.5'W03°30.1'S053°30.4'W 0.921 83° 242° 300 km 09m19.1s
15:5203°06.8'S052°05.1'W04°47.4'S054°13.1'W03°57.4'S053°09.0'W 0.921 82° 248° 301 km 09m19.2s
15:5403°33.8'S051°43.6'W05°14.9'S053°51.5'W04°24.6'S052°47.5'W 0.921 82° 253° 301 km 09m19.4s
15:5604°00.6'S051°21.9'W05°42.3'S053°29.7'W04°51.8'S052°25.7'W 0.921 81° 258° 301 km 09m19.4s
15:5804°27.3'S051°00.0'W06°09.7'S053°07.6'W05°18.8'S052°03.8'W 0.921 80° 261° 302 km 09m19.4s
16:0004°53.9'S050°37.9'W06°36.9'S052°45.4'W05°45.8'S051°41.6'W 0.921 80° 264° 302 km 09m19.4s
16:0205°20.4'S050°15.4'W07°04.1'S052°22.8'W06°12.6'S051°19.1'W 0.921 79° 267° 303 km 09m19.3s
16:0405°46.8'S049°52.7'W07°31.2'S052°00.0'W06°39.3'S050°56.3'W 0.921 78° 269° 303 km 09m19.1s
16:0606°13.0'S049°29.7'W07°58.3'S051°36.8'W07°06.0'S050°33.2'W 0.921 77° 271° 304 km 09m18.9s
16:0806°39.1'S049°06.4'W08°25.2'S051°13.3'W07°32.5'S050°09.8'W 0.921 76° 272° 304 km 09m18.6s
16:1007°05.1'S048°42.7'W08°52.1'S050°49.4'W07°59.0'S049°46.0'W 0.921 75° 274° 305 km 09m18.2s
16:1207°31.0'S048°18.6'W09°18.9'S050°25.2'W08°25.3'S049°21.8'W 0.921 74° 275° 306 km 09m17.8s
16:1407°56.8'S047°54.1'W09°45.6'S050°00.5'W08°51.6'S048°57.2'W 0.921 73° 276° 306 km 09m17.3s
16:1608°22.5'S047°29.1'W10°12.2'S049°35.3'W09°17.7'S048°32.2'W 0.921 72° 277° 307 km 09m16.7s
16:1808°48.0'S047°03.7'W10°38.7'S049°09.7'W09°43.7'S048°06.7'W 0.920 71° 278° 307 km 09m16.0s
16:2009°13.4'S046°37.8'W11°05.2'S048°43.6'W10°09.7'S047°40.6'W 0.920 70° 279° 308 km 09m15.3s
16:2209°38.7'S046°11.3'W11°31.5'S048°16.9'W10°35.5'S047°14.0'W 0.920 69° 279° 309 km 09m14.5s
16:2410°03.9'S045°44.3'W11°57.8'S047°49.6'W11°01.2'S046°46.9'W 0.920 68° 280° 309 km 09m13.6s
16:2610°28.9'S045°16.7'W12°24.0'S047°21.7'W11°26.8'S046°19.1'W 0.920 67° 280° 310 km 09m12.6s
16:2810°53.8'S044°48.4'W12°50.1'S046°53.1'W11°52.3'S045°50.7'W 0.920 66° 281° 311 km 09m11.6s
16:3011°18.6'S044°19.5'W13°16.1'S046°23.9'W12°17.7'S045°21.7'W 0.920 65° 281° 312 km 09m10.4s
16:3211°43.2'S043°49.9'W13°42.0'S045°53.9'W12°43.0'S044°51.8'W 0.920 64° 281° 312 km 09m09.2s
16:3412°07.7'S043°19.5'W14°07.8'S045°23.1'W13°08.2'S044°21.2'W 0.920 63° 281° 313 km 09m07.9s
16:3612°32.1'S042°48.2'W14°33.5'S044°51.5'W13°33.2'S043°49.8'W 0.920 62° 281° 314 km 09m06.5s
16:3812°56.3'S042°16.2'W14°59.1'S044°19.0'W13°58.1'S043°17.6'W 0.919 61° 282° 315 km 09m05.0s
16:4013°20.4'S041°43.2'W15°24.6'S043°45.5'W14°22.9'S042°44.4'W 0.919 60° 282° 315 km 09m03.4s
16:4213°44.3'S041°09.3'W15°50.0'S043°11.1'W14°47.5'S042°10.2'W 0.919 59° 282° 316 km 09m01.7s
16:4414°08.1'S040°34.3'W16°15.2'S042°35.6'W15°12.0'S041°35.0'W 0.919 58° 282° 317 km 08m59.9s
16:4614°31.6'S039°58.3'W16°40.3'S041°59.0'W15°36.4'S040°58.6'W 0.919 57° 282° 318 km 08m58.0s
16:4814°55.1'S039°21.1'W17°05.3'S041°21.1'W16°00.6'S040°21.1'W 0.919 56° 282° 318 km 08m55.9s
16:5015°18.3'S038°42.7'W17°30.1'S040°42.0'W16°24.6'S039°42.3'W 0.918 54° 282° 319 km 08m53.8s
16:5215°41.3'S038°02.9'W17°54.8'S040°01.5'W16°48.5'S039°02.2'W 0.918 53° 282° 320 km 08m51.6s
16:5416°04.2'S037°21.7'W18°19.3'S039°19.5'W17°12.1'S038°20.7'W 0.918 52° 281° 321 km 08m49.2s
16:5616°26.8'S036°39.0'W18°43.7'S038°36.0'W17°35.6'S037°37.6'W 0.918 51° 281° 321 km 08m46.8s
16:5816°49.2'S035°54.7'W19°07.8'S037°50.7'W17°58.9'S036°52.8'W 0.918 50° 281° 322 km 08m44.2s
17:0017°11.3'S035°08.6'W19°31.8'S037°03.6'W18°21.9'S036°06.2'W 0.917 48° 281° 323 km 08m41.5s
17:0217°33.2'S034°20.6'W19°55.6'S036°14.6'W18°44.8'S035°17.8'W 0.917 47° 281° 324 km 08m38.6s
17:0417°54.8'S033°30.6'W20°19.1'S035°23.4'W19°07.3'S034°27.2'W 0.917 46° 280° 324 km 08m35.6s
17:0618°16.1'S032°38.3'W20°42.3'S034°29.9'W19°29.6'S033°34.3'W 0.917 44° 280° 325 km 08m32.5s
17:0818°37.1'S031°43.6'W21°05.3'S033°33.9'W19°51.5'S032°39.0'W 0.917 43° 280° 326 km 08m29.2s
17:1018°57.7'S030°46.2'W21°28.0'S032°35.1'W20°13.2'S031°40.9'W 0.916 42° 279° 327 km 08m25.8s
17:1219°18.0'S029°45.8'W21°50.3'S031°33.3'W20°34.5'S030°39.9'W 0.916 40° 279° 328 km 08m22.2s
17:1419°37.7'S028°42.2'W22°12.3'S030°28.0'W20°55.3'S029°35.5'W 0.916 39° 278° 329 km 08m18.4s
17:1619°57.0'S027°34.9'W22°33.8'S029°19.0'W21°15.7'S028°27.4'W 0.915 37° 278° 330 km 08m14.5s
17:1820°15.8'S026°23.4'W22°54.8'S028°05.7'W21°35.6'S027°15.1'W 0.915 35° 277° 330 km 08m10.3s
17:2020°33.9'S025°07.3'W23°15.3'S026°47.5'W21°54.9'S025°58.0'W 0.915 34° 277° 332 km 08m05.9s
17:2220°51.3'S023°45.6'W23°35.2'S025°23.8'W22°13.5'S024°35.5'W 0.914 32° 276° 333 km 08m01.3s
17:2421°07.9'S022°17.7'W23°54.3'S023°53.5'W22°31.4'S023°06.5'W 0.914 30° 275° 334 km 07m56.5s
17:2621°23.5'S020°42.1'W24°12.5'S022°15.6'W22°48.3'S021°29.9'W 0.913 28° 275° 335 km 07m51.3s
17:2821°37.9'S018°57.3'W24°29.7'S020°28.2'W23°04.0'S019°44.0'W 0.913 26° 274° 336 km 07m45.8s
17:3021°50.7'S017°00.9'W24°45.5'S018°29.1'W23°18.3'S017°46.5'W 0.913 24° 273° 338 km 07m39.8s
17:3222°01.5'S014°49.1'W24°59.5'S016°14.7'W23°30.8'S015°33.8'W 0.912 21° 272° 340 km 07m33.3s
17:3422°09.5'S012°15.9'W25°11.0'S013°38.9'W23°40.6'S012°59.9'W 0.911 19° 271° 342 km 07m26.1s
17:3622°13.2'S009°09.4'W25°18.8'S010°30.7'W23°46.4'S009°53.3'W 0.910 15° 269° 345 km 07m17.7s
17:3822°08.7'S004°58.9'W25°19.7'S006°22.5'W23°44.8'S005°45.9'W 0.909 11° 267° 348 km 07m07.4s
17:4021°23.2'S004°33.0'E24°57.1'S001°13.1'E23°15.5'S002°11.2'E 0.908 264° 356 km 06m49.5s
Limits21°16.9'S005°25.9'E24°30.1'S005°49.1'E22°53.6'S005°36.7'E 0.907 - 359 km 06m42.6s

ΔT = 28570.8 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse23:38:08.615:41:57.801°39.1'S174°17.2'W 84.2° 208.6° 299.2 km09m17.77s
Greatest Duration23:53:33.415:57:22.605°10.4'S052°10.6'W 80.6° 260.1° 301.8 km09m19.44s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Annular Solar Eclipse of -1178 Oct 20

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Eclipse Predictions

Predictions for the Annular Solar Eclipse of -1178 Oct 20 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 28570.8 seconds for this eclipse. The uncertainty in ΔT is 1008.9 seconds corresponding to a standard error in longitude of the eclipse path of ± 4.22°.

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.