Path of the Annular Solar Eclipse of 1657 Jun 11

Fred Espenak

Introduction

The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of 1657 Jun 11 . 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 1657 Jun 11
UT1 Northern Limit Southern Limit Central Line M:S Sun Sun Path Central
Latitude Longitude Latitude Longitude Latitude Longitude Ratio Alt. Azm. Width Duration
Limits52°38.5'N087°37.0'E51°43.5'N089°23.6'E52°10.9'N088°31.2'E 0.980 - 156 km 01m05.2s
21:52 - - 57°01.2'N098°57.5'E55°57.0'N095°30.1'E 0.981 56° 143 km 01m02.4s
21:5458°03.8'N097°37.1'E59°20.8'N102°56.6'E58°48.4'N100°29.8'E 0.982 10° 61° 133 km 01m00.2s
21:5660°24.7'N101°42.5'E61°11.3'N106°04.9'E60°50.8'N104°00.2'E 0.983 12° 64° 126 km 00m58.7s
21:5862°15.6'N104°54.8'E62°46.5'N108°49.0'E62°32.7'N106°56.3'E 0.984 15° 68° 120 km 00m57.4s
22:0063°50.8'N107°42.2'E64°11.7'N111°19.4'E64°02.4'N109°34.1'E 0.984 16° 71° 115 km 00m56.3s
22:0265°16.1'N110°15.7'E65°29.7'N113°41.6'E65°23.8'N112°01.4'E 0.985 18° 74° 111 km 00m55.3s
22:0466°34.2'N112°41.1'E66°42.2'N115°59.1'E66°38.9'N114°22.5'E 0.985 19° 76° 107 km 00m54.4s
22:0667°46.7'N115°02.0'E67°50.2'N118°14.1'E67°49.0'N116°40.5'E 0.986 21° 79° 104 km 00m53.6s
22:0868°54.8'N117°21.1'E68°54.4'N120°29.5'E68°55.1'N118°57.4'E 0.986 22° 82° 100 km 00m52.8s
22:1069°59.1'N119°40.4'E69°55.4'N122°45.9'E69°57.6'N121°15.2'E 0.986 23° 85° 98 km 00m52.1s
22:1271°00.1'N122°01.6'E70°53.4'N125°05.0'E70°57.1'N123°35.4'E 0.986 24° 88° 95 km 00m51.5s
22:1471°58.2'N124°26.3'E71°48.8'N127°28.3'E71°53.8'N125°59.3'E 0.987 25° 92° 93 km 00m50.8s
22:1672°53.6'N126°56.0'E72°41.7'N129°56.8'E72°47.9'N128°28.5'E 0.987 26° 95° 90 km 00m50.3s
22:1873°46.6'N129°32.1'E73°32.2'N132°32.1'E73°39.6'N131°04.2'E 0.987 27° 98° 88 km 00m49.7s
22:2074°37.0'N132°16.2'E74°20.4'N135°15.3'E74°28.9'N133°47.9'E 0.987 27° 102° 86 km 00m49.2s
22:2275°25.1'N135°09.9'E75°06.2'N138°07.8'E75°15.8'N136°41.1'E 0.988 28° 106° 85 km 00m48.7s
22:2476°10.8'N138°14.7'E75°49.7'N141°11.1'E76°00.4'N139°45.3'E 0.988 29° 110° 83 km 00m48.3s
22:2676°54.0'N141°32.5'E76°30.7'N144°26.4'E76°42.4'N143°01.9'E 0.988 29° 114° 82 km 00m47.9s
22:2877°34.6'N145°04.8'E77°09.1'N147°55.3'E77°21.9'N146°32.6'E 0.988 30° 118° 80 km 00m47.5s
22:3078°12.4'N148°53.5'E77°44.8'N151°38.9'E77°58.6'N150°18.9'E 0.988 30° 123° 79 km 00m47.2s
22:3278°47.2'N153°00.0'E78°17.5'N155°38.4'E78°32.4'N154°21.9'E 0.988 31° 128° 78 km 00m46.8s
22:3479°18.7'N157°25.7'E78°47.1'N159°54.7'E79°02.8'N158°42.9'E 0.988 31° 134° 77 km 00m46.5s
22:3679°46.6'N162°11.2'E79°13.1'N164°27.9'E79°29.8'N163°22.2'E 0.988 31° 139° 76 km 00m46.3s
22:3880°10.6'N167°16.6'E79°35.4'N169°17.7'E79°52.9'N168°19.7'E 0.989 32° 145° 76 km 00m46.0s
22:4080°30.4'N172°40.8'E79°53.6'N174°23.0'E80°11.8'N173°34.1'E 0.989 32° 151° 75 km 00m45.8s
22:4280°45.5'N178°21.4'E80°07.5'N179°41.4'E80°26.3'N179°03.2'E 0.989 32° 158° 74 km 00m45.6s
22:4480°55.7'N175°45.3'W80°16.8'N174°50.1'W80°36.0'N175°16.4'W 0.989 32° 165° 74 km 00m45.4s
22:4681°00.8'N169°44.3'W80°21.5'N169°15.6'W80°40.9'N169°29.3'W 0.989 32° 172° 74 km 00m45.3s
22:4881°00.8'N163°41.3'W80°21.4'N163°39.8'W80°40.8'N163°40.5'W 0.989 33° 178° 73 km 00m45.2s
22:5080°55.6'N157°42.4'W80°16.5'N158°07.3'W80°35.8'N157°55.4'W 0.989 33° 185° 73 km 00m45.1s
22:5280°45.5'N151°53.1'W80°07.1'N152°42.6'W80°26.1'N152°19.0'W 0.989 33° 192° 73 km 00m45.0s
22:5480°30.6'N146°18.2'W79°53.3'N147°29.5'W80°11.8'N146°55.4'W 0.989 33° 198° 73 km 00m45.0s
22:5680°11.4'N141°00.9'W79°35.4'N142°30.8'W79°53.2'N141°47.7'W 0.989 32° 205° 73 km 00m45.0s
22:5879°48.2'N136°03.2'W79°13.7'N137°48.5'W79°30.8'N136°57.9'W 0.989 32° 210° 73 km 00m45.0s
23:0079°21.4'N131°25.9'W78°48.6'N133°23.4'W79°04.9'N132°26.8'W 0.989 32° 216° 74 km 00m45.0s
23:0278°51.4'N127°08.9'W78°20.3'N129°15.7'W78°35.8'N128°14.5'W 0.989 32° 221° 74 km 00m45.1s
23:0478°18.5'N123°11.3'W77°49.1'N125°24.9'W78°03.8'N124°20.3'W 0.989 32° 226° 74 km 00m45.2s
23:0677°43.0'N119°31.6'W77°15.4'N121°50.2'W77°29.2'N120°43.1'W 0.989 32° 231° 75 km 00m45.3s
23:0877°05.2'N116°08.5'W76°39.4'N118°30.5'W76°52.3'N117°21.5'W 0.989 31° 235° 76 km 00m45.4s
23:1076°25.2'N113°00.2'W76°01.2'N115°24.4'W76°13.2'N114°14.2'W 0.989 31° 239° 76 km 00m45.6s
23:1275°43.3'N110°05.1'W75°21.0'N112°30.6'W75°32.2'N111°19.7'W 0.988 30° 243° 77 km 00m45.8s
23:1474°59.6'N107°21.6'W74°39.0'N109°47.9'W74°49.3'N108°36.5'W 0.988 30° 247° 78 km 00m46.0s
23:1674°14.1'N104°48.3'W73°55.2'N107°15.0'W74°04.7'N106°03.3'W 0.988 29° 250° 79 km 00m46.3s
23:1873°26.9'N102°23.7'W73°09.7'N104°50.6'W73°18.4'N103°38.8'W 0.988 29° 254° 81 km 00m46.6s
23:2072°38.1'N100°06.7'W72°22.6'N102°33.6'W72°30.4'N101°21.7'W 0.988 28° 257° 82 km 00m46.9s
23:2271°47.6'N097°55.9'W71°33.8'N100°23.0'W71°40.8'N099°11.0'W 0.988 28° 260° 83 km 00m47.3s
23:2470°55.4'N095°50.4'W70°43.3'N098°17.9'W70°49.5'N097°05.7'W 0.988 27° 263° 85 km 00m47.6s
23:2670°01.3'N093°49.1'W69°51.1'N096°17.1'W69°56.4'N095°04.6'W 0.988 26° 266° 87 km 00m48.1s
23:2869°05.4'N091°50.9'W68°57.1'N094°19.9'W69°01.5'N093°06.9'W 0.987 25° 269° 89 km 00m48.5s
23:3068°07.3'N089°54.9'W68°01.2'N092°25.3'W68°04.5'N091°11.6'W 0.987 25° 271° 91 km 00m49.0s
23:3267°06.9'N088°00.0'W67°03.1'N090°32.4'W67°05.3'N089°17.8'W 0.987 24° 274° 93 km 00m49.6s
23:3466°03.9'N086°05.0'W66°02.7'N088°40.2'W66°03.7'N087°24.3'W 0.987 23° 277° 96 km 00m50.2s
23:3664°57.9'N084°08.8'W64°59.6'N086°47.6'W64°59.2'N085°30.0'W 0.986 21° 279° 99 km 00m50.8s
23:3863°48.2'N082°09.7'W63°53.4'N084°53.4'W63°51.3'N083°33.6'W 0.986 20° 282° 102 km 00m51.5s
23:4062°34.1'N080°05.8'W62°43.5'N082°56.5'W62°39.5'N081°33.3'W 0.986 19° 284° 105 km 00m52.3s
23:4261°14.3'N077°54.4'W61°29.2'N080°54.4'W61°22.6'N079°27.0'W 0.985 17° 287° 109 km 00m53.2s
23:4459°46.9'N075°31.3'W60°09.0'N078°44.7'W59°59.1'N077°11.3'W 0.985 16° 290° 114 km 00m54.1s
23:4658°08.3'N072°49.1'W58°41.1'N076°23.2'W58°26.5'N074°40.8'W 0.984 14° 292° 119 km 00m55.2s
23:4856°10.7'N069°32.4'W57°01.9'N073°42.8'W56°39.6'N071°45.3'W 0.984 11° 295° 125 km 00m56.6s
23:5053°28.5'N064°48.8'W55°03.5'N070°28.0'W54°25.5'N067°59.0'W 0.983 299° 132 km 00m58.3s
23:52 - - 52°19.9'N065°47.1'W50°08.1'N060°08.8'W 0.981 306° 147 km 01m01.8s
Limits49°43.7'N057°37.9'W48°48.8'N059°11.6'W49°16.0'N058°25.4'W 0.981 - 149 km 01m02.5s

ΔT = 38.3 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse22:52:08.622:51:30.480°28.9'N153°50.6'W 32.6° 190.3° 73.1 km00m45.04s
Greatest Duration21:51:37.021:50:58.752°10.9'N088°31.2'E 0.0° 50.1° 156.0 km01m05.20s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Annular Solar Eclipse of 1657 Jun 11

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 1657 Jun 11 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 38.3 seconds for this eclipse. The uncertainty in ΔT is 11.4 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.