Path of the Hybrid Solar Eclipse of 1645 Aug 21

Fred Espenak

Introduction

The following table delineates the path of the Moon's umbral shadow during the Hybrid Solar Eclipse of 1645 Aug 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 .

Hybrid Solar Eclipse of 1645 Aug 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
Limits71°27.8'N108°50.9'W71°16.7'N108°14.8'W71°22.2'N108°32.8'W 0.996 - 30 km 00m12.6s
10:4275°44.2'N089°30.2'W75°51.3'N087°59.1'W75°48.0'N088°42.7'W 0.998 69° 13 km 00m06.0s
10:4477°31.6'N077°08.1'W77°32.2'N076°32.8'W77°31.9'N076°50.0'W 0.999 10° 81° 6 km 00m02.9s
10:4678°36.4'N066°15.0'W78°36.3'N066°09.3'W78°36.4'N066°12.0'W 1.000 13° 92° 1 km 00m00.5s
10:4879°16.9'N055°58.3'W79°17.8'N056°11.7'W79°17.3'N056°05.1'W 1.000 15° 103° 3 km 00m01.4s
10:5079°39.7'N046°10.3'W79°42.3'N046°35.2'W79°41.0'N046°22.9'W 1.001 16° 113° 6 km 00m03.1s
10:5279°48.5'N036°54.7'W79°53.0'N037°25.0'W79°50.8'N037°10.0'W 1.001 18° 123° 9 km 00m04.7s
10:5479°46.0'N028°17.8'W79°52.5'N028°48.5'W79°49.3'N028°33.2'W 1.002 19° 132° 11 km 00m06.0s
10:5679°34.6'N020°23.9'W79°42.7'N020°51.6'W79°38.7'N020°37.8'W 1.002 20° 141° 13 km 00m07.2s
10:5879°15.9'N013°14.9'W79°25.6'N013°37.3'W79°20.8'N013°26.1'W 1.002 21° 149° 15 km 00m08.4s
11:0078°51.7'N006°49.4'W79°02.6'N007°05.7'W78°57.2'N006°57.6'W 1.002 22° 156° 17 km 00m09.4s
11:0278°23.2'N001°04.6'W78°35.0'N001°14.6'W78°29.1'N001°09.6'W 1.003 23° 163° 18 km 00m10.3s
11:0477°51.4'N004°03.5'E78°03.9'N003°59.7'E77°57.7'N004°01.6'E 1.003 24° 169° 20 km 00m11.2s
11:0677°17.0'N008°39.4'E77°30.0'N008°41.0'E77°23.6'N008°40.2'E 1.003 25° 174° 21 km 00m12.0s
11:0876°40.8'N012°47.1'E76°54.1'N012°53.6'E76°47.5'N012°50.3'E 1.003 25° 179° 22 km 00m12.7s
11:1076°03.2'N016°30.4'E76°16.7'N016°41.2'E76°10.0'N016°35.8'E 1.003 26° 184° 23 km 00m13.3s
11:1275°24.4'N019°52.8'E75°38.1'N020°07.2'E75°31.3'N020°00.0'E 1.003 26° 188° 24 km 00m13.9s
11:1474°44.9'N022°57.3'E74°58.6'N023°14.6'E74°51.8'N023°05.9'E 1.004 27° 192° 25 km 00m14.4s
11:1674°04.8'N025°46.2'E74°18.4'N026°06.0'E74°11.7'N025°56.1'E 1.004 27° 196° 25 km 00m14.8s
11:1873°24.3'N028°21.7'E73°37.7'N028°43.6'E73°31.1'N028°32.7'E 1.004 28° 199° 26 km 00m15.2s
11:2072°43.5'N030°45.8'E72°56.7'N031°09.4'E72°50.1'N030°57.6'E 1.004 28° 203° 27 km 00m15.6s
11:2272°02.4'N032°59.8'E72°15.4'N033°24.8'E72°08.9'N033°12.3'E 1.004 28° 206° 27 km 00m15.8s
11:2471°21.2'N035°05.2'E71°33.9'N035°31.2'E71°27.6'N035°18.2'E 1.004 29° 209° 27 km 00m16.1s
11:2670°39.8'N037°03.1'E70°52.2'N037°29.9'E70°46.1'N037°16.5'E 1.004 29° 212° 28 km 00m16.2s
11:2869°58.4'N038°54.4'E70°10.5'N039°21.9'E70°04.5'N039°08.2'E 1.004 29° 215° 28 km 00m16.3s
11:3069°16.9'N040°40.0'E69°28.6'N041°08.0'E69°22.8'N040°54.0'E 1.004 29° 217° 28 km 00m16.4s
11:3268°35.4'N042°20.7'E68°46.7'N042°48.9'E68°41.1'N042°34.8'E 1.004 29° 220° 28 km 00m16.4s
11:3467°53.8'N043°57.1'E68°04.7'N044°25.4'E67°59.3'N044°11.3'E 1.004 29° 222° 28 km 00m16.4s
11:3667°12.1'N045°29.7'E67°22.7'N045°58.0'E67°17.5'N045°43.9'E 1.004 29° 225° 28 km 00m16.3s
11:3866°30.5'N046°59.1'E66°40.6'N047°27.4'E66°35.6'N047°13.3'E 1.004 29° 227° 28 km 00m16.1s
11:4065°48.7'N048°25.8'E65°58.4'N048°53.8'E65°53.6'N048°39.9'E 1.004 29° 230° 28 km 00m15.9s
11:4265°06.9'N049°50.2'E65°16.1'N050°17.9'E65°11.6'N050°04.1'E 1.004 29° 232° 28 km 00m15.6s
11:4464°25.0'N051°12.6'E64°33.8'N051°39.9'E64°29.4'N051°26.3'E 1.004 28° 234° 27 km 00m15.3s
11:4663°43.0'N052°33.5'E63°51.3'N053°00.3'E63°47.2'N052°46.9'E 1.004 28° 236° 27 km 00m14.9s
11:4863°00.8'N053°53.2'E63°08.6'N054°19.4'E63°04.7'N054°06.3'E 1.004 28° 239° 26 km 00m14.5s
11:5062°18.4'N055°12.0'E62°25.8'N055°37.5'E62°22.1'N055°24.8'E 1.003 27° 241° 26 km 00m14.0s
11:5261°35.9'N056°30.3'E61°42.7'N056°55.1'E61°39.3'N056°42.7'E 1.003 27° 243° 25 km 00m13.5s
11:5460°53.0'N057°48.4'E60°59.4'N058°12.4'E60°56.2'N058°00.4'E 1.003 27° 245° 24 km 00m12.9s
11:5660°09.9'N059°06.6'E60°15.7'N059°29.7'E60°12.8'N059°18.2'E 1.003 26° 247° 23 km 00m12.3s
11:5859°26.4'N060°25.4'E59°31.7'N060°47.4'E59°29.1'N060°36.5'E 1.003 26° 249° 22 km 00m11.5s
12:0058°42.5'N061°45.1'E58°47.2'N062°06.0'E58°44.9'N061°55.6'E 1.003 25° 251° 21 km 00m10.8s
12:0257°58.1'N063°06.2'E58°02.3'N063°25.8'E58°00.2'N063°16.1'E 1.003 24° 253° 19 km 00m09.9s
12:0457°13.1'N064°29.1'E57°16.7'N064°47.3'E57°15.0'N064°38.2'E 1.002 23° 255° 18 km 00m09.0s
12:0656°27.4'N065°54.4'E56°30.5'N066°11.0'E56°29.0'N066°02.7'E 1.002 23° 257° 16 km 00m08.0s
12:0855°40.9'N067°22.7'E55°43.4'N067°37.6'E55°42.2'N067°30.2'E 1.002 22° 259° 14 km 00m06.9s
12:1054°53.3'N068°55.1'E54°55.3'N069°07.9'E54°54.3'N069°01.5'E 1.001 21° 261° 12 km 00m05.8s
12:1254°04.5'N070°32.4'E54°05.9'N070°42.8'E54°05.2'N070°37.7'E 1.001 20° 263° 9 km 00m04.5s
12:1453°14.2'N072°16.1'E53°15.1'N072°23.8'E53°14.6'N072°20.0'E 1.001 18° 265° 7 km 00m03.1s
12:1652°21.9'N074°08.4'E52°22.2'N074°12.5'E52°22.1'N074°10.5'E 1.000 17° 268° 3 km 00m01.6s
12:1851°26.9'N076°12.0'E51°26.9'N076°11.8'E51°26.9'N076°11.9'E 1.000 16° 270° 0 km 00m00.1s
12:2050°28.3'N078°31.9'E50°28.0'N078°25.7'E50°28.1'N078°28.8'E 0.999 14° 272° 4 km 00m02.0s
12:2249°24.0'N081°17.2'E49°24.0'N081°01.8'E49°24.0'N081°09.3'E 0.999 12° 275° 9 km 00m04.2s
12:2448°09.5'N084°48.7'E48°11.0'N084°16.5'E48°10.3'N084°32.0'E 0.998 278° 16 km 00m06.9s
12:2646°25.7'N090°35.9'E46°37.0'N089°04.1'E46°32.2'N089°45.4'E 0.997 282° 25 km 00m10.8s
Limits45°04.5'N096°16.7'E44°47.6'N096°01.8'E44°56.1'N096°09.2'E 0.995 - 35 km 00m15.1s

ΔT = 55.1 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse11:34:17.211:33:22.168°12.5'N043°27.4'E 29.0° 221.6° 28.3 km00m16.38s
Greatest Duration11:32:04.511:31:09.468°58.7'N041°52.9'E 29.0° 218.8° 28.2 km00m16.41s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Hybrid Solar Eclipse of 1645 Aug 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 Hybrid Solar Eclipse of 1645 Aug 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 55.1 seconds for this eclipse. The uncertainty in ΔT is 13.2 seconds corresponding to a standard error in longitude of the eclipse path of ± 0.05°.

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.