Path of the Annular Solar Eclipse of 1178 Mar 21

Fred Espenak

Introduction

The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of 1178 Mar 21 . 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 Mar 21
UT1 Northern Limit Southern Limit Central Line M:S Sun Sun Path Central
Latitude Longitude Latitude Longitude Latitude Longitude Ratio Alt. Azm. Width Duration
Limits68°14.5'S031°30.0'E70°49.6'S031°31.5'E69°31.0'S031°29.1'E 0.951 - 286 km 03m16.9s
04:3066°12.5'S054°33.0'E - - 68°40.7'S043°33.5'E 0.952 71° 274 km 03m19.3s
04:3265°08.5'S061°33.6'E69°55.2'S044°03.3'E67°13.4'S056°04.7'E 0.954 58° 261 km 03m22.1s
04:3464°11.1'S066°45.4'E68°18.0'S057°24.9'E66°04.8'S063°11.0'E 0.954 13° 51° 254 km 03m23.9s
04:3663°17.9'S070°56.8'E67°04.0'S064°43.8'E65°03.8'S068°25.4'E 0.955 15° 46° 248 km 03m25.4s
04:3862°27.9'S074°28.9'E65°59.0'S070°03.7'E64°07.7'S072°38.0'E 0.956 17° 41° 244 km 03m26.7s
04:4061°40.2'S077°32.9'E64°59.6'S074°18.9'E63°15.2'S076°10.3'E 0.956 19° 37° 240 km 03m27.8s
04:4260°54.6'S080°15.6'E64°04.4'S077°52.5'E62°25.4'S079°14.1'E 0.957 21° 34° 237 km 03m28.8s
04:4460°10.7'S082°41.6'E63°12.2'S080°56.5'E61°37.9'S081°56.2'E 0.957 22° 31° 234 km 03m29.7s
04:4659°28.3'S084°54.2'E62°22.7'S083°38.6'E60°52.3'S084°21.6'E 0.957 23° 28° 232 km 03m30.6s
04:4858°47.3'S086°55.8'E61°35.4'S086°03.5'E60°08.4'S086°33.4'E 0.958 25° 25° 230 km 03m31.4s
04:5058°07.4'S088°48.0'E60°49.9'S088°14.7'E59°26.0'S088°34.1'E 0.958 26° 23° 228 km 03m32.1s
04:5257°28.6'S090°32.3'E60°06.0'S090°14.7'E58°44.9'S090°25.5'E 0.958 27° 20° 226 km 03m32.8s
04:5456°50.8'S092°09.8'E59°23.7'S092°05.3'E58°05.0'S092°09.0'E 0.958 28° 18° 225 km 03m33.4s
04:5656°13.9'S093°41.4'E58°42.6'S093°48.0'E57°26.2'S093°45.7'E 0.959 29° 16° 224 km 03m34.0s
04:5855°37.8'S095°07.9'E58°02.7'S095°24.0'E56°48.3'S095°16.5'E 0.959 30° 13° 223 km 03m34.6s
05:0055°02.5'S096°29.8'E57°23.9'S096°54.0'E56°11.4'S096°42.2'E 0.959 30° 11° 222 km 03m35.1s
05:0254°27.9'S097°47.6'E56°46.1'S098°19.0'E55°35.3'S098°03.4'E 0.959 31° 221 km 03m35.6s
05:0453°54.0'S099°01.8'E56°09.2'S099°39.5'E54°59.9'S099°20.5'E 0.959 32° 220 km 03m36.1s
05:0653°20.7'S100°12.9'E55°33.1'S100°56.1'E54°25.4'S100°34.2'E 0.960 33° 220 km 03m36.5s
05:0852°48.0'S101°21.0'E54°57.9'S102°09.1'E53°51.5'S101°44.7'E 0.960 33° 219 km 03m36.9s
05:1052°15.9'S102°26.6'E54°23.3'S103°19.1'E53°18.2'S102°52.3'E 0.960 34° 219 km 03m37.3s
05:1251°44.3'S103°29.8'E53°49.5'S104°26.3'E52°45.5'S103°57.4'E 0.960 34° 359° 219 km 03m37.6s
05:1451°13.2'S104°30.9'E53°16.3'S105°31.0'E52°13.5'S105°00.2'E 0.960 35° 357° 219 km 03m37.9s
05:1650°42.6'S105°30.0'E52°43.8'S106°33.5'E51°41.9'S106°01.0'E 0.960 35° 356° 219 km 03m38.2s
05:1850°12.4'S106°27.5'E52°11.8'S107°33.9'E51°10.9'S106°59.9'E 0.960 36° 354° 219 km 03m38.4s
05:2049°42.7'S107°23.4'E51°40.4'S108°32.6'E50°40.4'S107°57.1'E 0.960 36° 352° 219 km 03m38.6s
05:2249°13.4'S108°17.8'E51°09.5'S109°29.7'E50°10.3'S108°52.8'E 0.961 37° 350° 219 km 03m38.8s
05:2448°44.5'S109°11.0'E50°39.1'S110°25.3'E49°40.7'S109°47.2'E 0.961 37° 348° 220 km 03m39.0s
05:2648°16.0'S110°03.1'E50°09.3'S111°19.6'E49°11.6'S110°40.4'E 0.961 37° 346° 220 km 03m39.1s
05:2847°47.9'S110°54.1'E49°39.8'S112°12.8'E48°42.8'S111°32.4'E 0.961 37° 345° 221 km 03m39.3s
05:3047°20.1'S111°44.2'E49°10.8'S113°05.0'E48°14.5'S112°23.5'E 0.961 38° 343° 221 km 03m39.3s
05:3246°52.7'S112°33.4'E48°42.3'S113°56.2'E47°46.5'S113°13.7'E 0.961 38° 341° 222 km 03m39.4s
05:3446°25.6'S113°21.9'E48°14.1'S114°46.7'E47°18.9'S114°03.2'E 0.961 38° 339° 223 km 03m39.4s
05:3645°58.8'S114°09.8'E47°46.4'S115°36.5'E46°51.7'S114°52.0'E 0.961 38° 338° 224 km 03m39.5s
05:3845°32.4'S114°57.2'E47°19.0'S116°25.6'E46°24.8'S115°40.2'E 0.961 38° 336° 224 km 03m39.4s
05:4045°06.2'S115°44.1'E46°52.0'S117°14.3'E45°58.2'S116°28.0'E 0.961 38° 334° 225 km 03m39.4s
05:4244°40.4'S116°30.6'E46°25.4'S118°02.6'E45°32.0'S117°15.4'E 0.961 38° 332° 226 km 03m39.3s
05:4444°14.8'S117°16.8'E45°59.1'S118°50.6'E45°06.1'S118°02.4'E 0.961 38° 331° 228 km 03m39.3s
05:4643°49.5'S118°02.7'E45°33.1'S119°38.4'E44°40.5'S118°49.3'E 0.961 38° 329° 229 km 03m39.1s
05:4843°24.5'S118°48.6'E45°07.5'S120°26.1'E44°15.2'S119°36.0'E 0.961 38° 327° 230 km 03m39.0s
05:5042°59.8'S119°34.3'E44°42.2'S121°13.7'E43°50.2'S120°22.6'E 0.961 38° 326° 231 km 03m38.8s
05:5242°35.3'S120°20.1'E44°17.2'S122°01.3'E43°25.4'S121°09.3'E 0.961 37° 324° 232 km 03m38.6s
05:5442°11.1'S121°05.9'E43°52.6'S122°49.1'E43°01.0'S121°56.1'E 0.961 37° 322° 234 km 03m38.4s
05:5641°47.1'S121°51.9'E43°28.2'S123°37.1'E42°36.9'S122°43.0'E 0.961 37° 321° 235 km 03m38.2s
05:5841°23.4'S122°38.1'E43°04.2'S124°25.4'E42°13.0'S123°30.2'E 0.961 37° 319° 237 km 03m37.9s
06:0041°00.0'S123°24.6'E42°40.4'S125°14.1'E41°49.4'S124°17.8'E 0.961 36° 318° 238 km 03m37.6s
06:0240°36.7'S124°11.6'E42°17.0'S126°03.3'E41°26.0'S125°05.9'E 0.961 36° 316° 239 km 03m37.3s
06:0440°13.8'S124°59.0'E41°53.8'S126°53.2'E41°03.0'S125°54.4'E 0.961 36° 315° 241 km 03m36.9s
06:0639°51.0'S125°47.1'E41°31.0'S127°43.8'E40°40.2'S126°43.7'E 0.960 35° 313° 242 km 03m36.5s
06:0839°28.5'S126°35.8'E41°08.4'S128°35.2'E40°17.6'S127°33.7'E 0.960 35° 311° 244 km 03m36.1s
06:1039°06.3'S127°25.3'E40°46.1'S129°27.6'E39°55.4'S128°24.6'E 0.960 34° 310° 245 km 03m35.7s
06:1238°44.2'S128°15.8'E40°24.1'S130°21.2'E39°33.3'S129°16.5'E 0.960 33° 308° 247 km 03m35.2s
06:1438°22.5'S129°07.3'E40°02.4'S131°16.0'E39°11.6'S130°09.6'E 0.960 33° 307° 249 km 03m34.7s
06:1638°00.9'S130°00.0'E39°41.0'S132°12.4'E38°50.1'S131°04.0'E 0.960 32° 305° 250 km 03m34.2s
06:1837°39.6'S130°54.0'E39°20.0'S133°10.4'E38°28.9'S131°59.9'E 0.960 31° 304° 252 km 03m33.6s
06:2037°18.6'S131°49.6'E38°59.2'S134°10.4'E38°08.0'S132°57.5'E 0.960 31° 303° 253 km 03m33.1s
06:2236°57.8'S132°46.9'E38°38.8'S135°12.5'E37°47.4'S133°57.1'E 0.959 30° 301° 255 km 03m32.4s
06:2436°37.2'S133°46.2'E38°18.7'S136°17.2'E37°27.0'S134°58.9'E 0.959 29° 300° 256 km 03m31.8s
06:2636°17.0'S134°47.8'E37°58.9'S137°24.8'E37°07.0'S136°03.2'E 0.959 28° 298° 257 km 03m31.1s
06:2835°57.0'S135°51.9'E37°39.5'S138°35.8'E36°47.3'S137°10.5'E 0.959 27° 297° 259 km 03m30.3s
06:3035°37.3'S136°59.0'E37°20.6'S139°50.8'E36°27.9'S138°21.2'E 0.959 26° 295° 260 km 03m29.5s
06:3235°17.9'S138°09.6'E37°02.1'S141°10.5'E36°09.0'S139°35.8'E 0.958 25° 294° 261 km 03m28.7s
06:3434°58.9'S139°24.2'E36°44.1'S142°35.9'E35°50.4'S140°55.3'E 0.958 24° 292° 263 km 03m27.8s
06:3634°40.2'S140°43.5'E36°26.6'S144°08.4'E35°32.2'S142°20.4'E 0.958 22° 291° 264 km 03m26.9s
06:3834°21.9'S142°08.6'E36°09.9'S145°49.7'E35°14.6'S143°52.5'E 0.957 21° 289° 265 km 03m25.8s
06:4034°04.1'S143°40.8'E35°53.9'S147°42.7'E34°57.6'S145°33.5'E 0.957 19° 288° 266 km 03m24.7s
06:4233°46.9'S145°22.0'E35°39.0'S149°51.7'E34°41.4'S147°26.1'E 0.956 17° 286° 268 km 03m23.5s
06:4433°30.4'S147°14.8'E35°25.7'S152°25.1'E34°26.1'S149°34.8'E 0.956 15° 284° 269 km 03m22.2s
06:4633°14.7'S149°23.9'E35°14.8'S155°41.2'E34°12.2'S152°07.5'E 0.955 13° 283° 271 km 03m20.7s
06:4833°00.2'S151°57.4'E35°10.4'S160°49.6'E34°00.5'S155°22.5'E 0.955 10° 280° 272 km 03m18.8s
06:5032°47.9'S155°14.0'E - - 33°54.5'S160°27.1'E 0.953 277° 275 km 03m16.2s
Limits32°48.7'S166°21.2'E35°22.8'S167°09.9'E34°04.6'S166°45.0'E 0.952 - 279 km 03m13.3s

ΔT = 793.4 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse05:53:11.005:39:57.645°58.7'S113°08.2'E 38.1° 334.2° 225.4 km03m39.41s
Greatest Duration05:49:11.805:35:58.446°52.0'S114°51.3'E 38.0° 337.6° 223.6 km03m39.46s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Annular Solar Eclipse of 1178 Mar 21

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 1178 Mar 21 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 793.4 seconds for this eclipse. The uncertainty in ΔT is 32.9 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.