Path of the Annular Solar Eclipse of 1540 Sep 30

Fred Espenak

Introduction

The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of 1540 Sep 30 . 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 1540 Sep 30
UT1 Northern Limit Southern Limit Central Line M:S Sun Sun Path Central
Latitude Longitude Latitude Longitude Latitude Longitude Ratio Alt. Azm. Width Duration
Limits30°56.2'S006°07.4'W31°41.2'S006°33.5'W31°18.6'S006°20.3'W 0.988 - 88 km 00m41.4s
05:5832°39.8'S002°25.4'E32°39.0'S000°31.2'W32°40.3'S001°08.1'E 0.990 93° 77 km 00m36.2s
06:0033°41.2'S005°32.7'E33°46.6'S003°46.5'E33°44.0'S004°42.7'E 0.991 10° 91° 71 km 00m33.4s
06:0234°36.8'S007°51.5'E34°43.9'S006°31.1'E34°40.4'S007°12.9'E 0.992 13° 89° 66 km 00m31.4s
06:0435°29.5'S009°44.8'E35°37.2'S008°38.9'E35°33.3'S009°12.8'E 0.992 15° 88° 62 km 00m29.7s
06:0636°20.3'S011°21.6'E36°28.3'S010°25.3'E36°24.2'S010°54.2'E 0.993 16° 86° 58 km 00m28.2s
06:0837°09.9'S012°47.0'E37°17.9'S011°57.4'E37°13.9'S012°22.7'E 0.993 18° 85° 55 km 00m26.9s
06:1037°58.6'S014°03.5'E38°06.6'S013°19.2'E38°02.6'S013°41.8'E 0.993 19° 83° 52 km 00m25.8s
06:1238°46.7'S015°13.3'E38°54.6'S014°33.0'E38°50.6'S014°53.5'E 0.994 21° 82° 50 km 00m24.7s
06:1439°34.3'S016°17.5'E39°42.1'S015°40.5'E39°38.2'S015°59.3'E 0.994 22° 80° 47 km 00m23.7s
06:1640°21.6'S017°17.1'E40°29.3'S016°42.8'E40°25.4'S017°00.3'E 0.994 23° 79° 45 km 00m22.9s
06:1841°08.6'S018°12.9'E41°16.2'S017°40.9'E41°12.4'S017°57.1'E 0.995 24° 78° 43 km 00m22.1s
06:2041°55.5'S019°05.4'E42°03.0'S018°35.3'E41°59.2'S018°50.6'E 0.995 24° 76° 41 km 00m21.3s
06:2242°42.3'S019°55.1'E42°49.7'S019°26.7'E42°46.0'S019°41.1'E 0.995 25° 75° 39 km 00m20.7s
06:2443°29.1'S020°42.4'E43°36.4'S020°15.3'E43°32.7'S020°29.0'E 0.995 26° 73° 37 km 00m20.1s
06:2644°15.9'S021°27.5'E44°23.1'S021°01.7'E44°19.5'S021°14.8'E 0.995 26° 72° 36 km 00m19.5s
06:2845°02.8'S022°10.8'E45°10.0'S021°46.0'E45°06.4'S021°58.5'E 0.995 27° 71° 34 km 00m19.0s
06:3045°49.9'S022°52.5'E45°57.0'S022°28.5'E45°53.4'S022°40.6'E 0.996 28° 69° 33 km 00m18.6s
06:3246°37.0'S023°32.7'E46°44.1'S023°09.5'E46°40.5'S023°21.2'E 0.996 28° 68° 32 km 00m18.2s
06:3447°24.4'S024°11.7'E47°31.5'S023°49.0'E47°27.9'S024°00.5'E 0.996 28° 67° 31 km 00m17.9s
06:3648°12.1'S024°49.6'E48°19.1'S024°27.4'E48°15.6'S024°38.6'E 0.996 29° 65° 30 km 00m17.6s
06:3849°00.0'S025°26.5'E49°07.1'S025°04.8'E49°03.5'S025°15.7'E 0.996 29° 64° 30 km 00m17.3s
06:4049°48.2'S026°02.6'E49°55.4'S025°41.2'E49°51.8'S025°52.0'E 0.996 29° 62° 29 km 00m17.1s
06:4250°36.8'S026°38.0'E50°44.0'S026°16.8'E50°40.4'S026°27.5'E 0.996 30° 61° 28 km 00m17.0s
06:4451°25.8'S027°12.9'E51°33.1'S026°51.7'E51°29.4'S027°02.4'E 0.996 30° 59° 28 km 00m16.9s
06:4652°15.2'S027°47.3'E52°22.6'S027°26.2'E52°18.9'S027°36.8'E 0.996 30° 58° 27 km 00m16.8s
06:4853°05.1'S028°21.3'E53°12.6'S028°00.1'E53°08.8'S028°10.8'E 0.996 30° 57° 27 km 00m16.8s
06:5053°55.5'S028°55.1'E54°03.2'S028°33.7'E53°59.3'S028°44.5'E 0.996 30° 55° 27 km 00m16.8s
06:5254°46.4'S029°28.7'E54°54.4'S029°07.1'E54°50.4'S029°18.0'E 0.996 30° 54° 27 km 00m16.8s
06:5455°38.0'S030°02.3'E55°46.2'S029°40.3'E55°42.0'S029°51.4'E 0.996 30° 52° 27 km 00m16.9s
06:5656°30.2'S030°36.0'E56°38.6'S030°13.5'E56°34.4'S030°24.8'E 0.996 30° 51° 27 km 00m17.1s
06:5857°23.1'S031°09.8'E57°31.9'S030°46.7'E57°27.5'S030°58.4'E 0.996 30° 49° 27 km 00m17.3s
07:0058°16.8'S031°43.9'E58°25.9'S031°20.1'E58°21.3'S031°32.1'E 0.996 30° 48° 27 km 00m17.5s
07:0259°11.4'S032°18.4'E59°20.9'S031°53.8'E59°16.1'S032°06.3'E 0.996 29° 46° 28 km 00m17.8s
07:0460°06.8'S032°53.5'E60°16.8'S032°27.9'E60°11.8'S032°40.9'E 0.996 29° 45° 28 km 00m18.1s
07:0661°03.2'S033°29.2'E61°13.7'S033°02.6'E61°08.4'S033°16.1'E 0.996 29° 43° 29 km 00m18.5s
07:0862°00.7'S034°05.8'E62°11.8'S033°37.9'E62°06.2'S033°52.1'E 0.996 29° 42° 29 km 00m18.9s
07:1062°59.4'S034°43.5'E63°11.2'S034°14.1'E63°05.2'S034°29.0'E 0.995 28° 40° 30 km 00m19.3s
07:1263°59.4'S035°22.4'E64°11.9'S034°51.3'E64°05.6'S035°07.1'E 0.995 28° 38° 31 km 00m19.8s
07:1465°00.7'S036°02.8'E65°14.1'S035°29.8'E65°07.3'S035°46.5'E 0.995 27° 37° 31 km 00m20.4s
07:1666°03.7'S036°45.0'E66°18.0'S036°09.8'E66°10.7'S036°27.6'E 0.995 27° 35° 32 km 00m21.0s
07:1867°08.3'S037°29.3'E67°23.7'S036°51.5'E67°15.9'S037°10.7'E 0.995 26° 34° 34 km 00m21.6s
07:2068°14.9'S038°16.2'E68°31.6'S037°35.4'E68°23.1'S037°56.2'E 0.995 25° 32° 35 km 00m22.3s
07:2269°23.6'S039°06.2'E69°41.8'S038°21.9'E69°32.6'S038°44.5'E 0.994 25° 30° 36 km 00m23.1s
07:2470°34.8'S040°00.0'E70°54.7'S039°11.6'E70°44.6'S039°36.3'E 0.994 24° 29° 38 km 00m23.9s
07:2671°48.7'S040°58.6'E72°10.7'S040°05.2'E71°59.6'S040°32.5'E 0.994 23° 27° 39 km 00m24.8s
07:2873°05.9'S042°03.2'E73°30.3'S041°03.8'E73°17.9'S041°34.2'E 0.994 22° 25° 41 km 00m25.8s
07:3074°26.8'S043°15.6'E74°54.1'S042°08.8'E74°40.3'S042°43.2'E 0.993 21° 23° 43 km 00m26.8s
07:3275°52.2'S044°38.5'E76°23.1'S043°22.5'E76°07.4'S044°01.8'E 0.993 20° 21° 46 km 00m27.9s
07:3477°23.0'S046°16.4'E77°58.5'S044°48.5'E77°40.4'S045°34.3'E 0.993 18° 19° 49 km 00m29.2s
07:3679°00.5'S048°16.8'E79°42.0'S046°33.4'E79°20.8'S047°27.8'E 0.992 17° 16° 52 km 00m30.5s
07:3880°46.6'S050°54.8'E81°36.4'S048°50.8'E81°10.8'S049°57.1'E 0.992 15° 13° 55 km 00m32.0s
07:4082°44.3'S054°45.9'E83°46.6'S052°17.5'E83°14.3'S053°39.4'E 0.991 13° 60 km 00m33.7s
07:4284°58.3'S061°45.3'E86°21.5'S059°36.5'E85°37.7'S060°52.4'E 0.990 11° 65 km 00m35.7s
07:4487°32.3'S083°57.2'E89°10.7'S141°21.4'E88°25.2'S095°05.7'E 0.990 326° 73 km 00m38.2s
07:4687°14.4'S163°10.5'W - - 84°50.0'S140°17.3'W 0.988 200° 90 km 00m42.9s
Limits83°01.4'S138°51.6'W83°14.5'S132°02.5'W83°08.6'S135°31.3'W 0.987 - 94 km 00m44.1s

ΔT = 156.9 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse06:54:09.806:51:32.854°38.8'S028°31.1'E 30.1° 53.9° 26.9 km00m16.82s
Greatest Duration07:48:43.107:46:06.283°08.6'S135°31.3'W 0.0° 195.7° 94.3 km00m44.12s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Annular Solar Eclipse of 1540 Sep 30

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 1540 Sep 30 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 156.9 seconds for this eclipse. The uncertainty in ΔT is 20.0 seconds corresponding to a standard error in longitude of the eclipse path of ± 0.08°.

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.