Path of the Annular Solar Eclipse of -1693 Dec 13

Fred Espenak

Introduction

The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of -1693 Dec 13 . 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 -1693 Dec 13
UT1 Northern Limit Southern Limit Central Line M:S Sun Sun Path Central
Latitude Longitude Latitude Longitude Latitude Longitude Ratio Alt. Azm. Width Duration
Limits40°16.1'S090°20.7'W41°01.9'S091°15.4'W40°39.0'S090°47.8'W 0.982 - 112 km 00m58.3s
10:4043°35.1'S083°13.4'W - - 42°42.1'S086°13.7'W 0.983 117° 105 km 00m56.0s
10:4246°03.9'S078°17.9'W45°25.5'S081°40.1'W45°47.5'S079°51.4'W 0.985 10° 112° 95 km 00m52.5s
10:4447°51.2'S074°52.9'W47°33.6'S077°22.9'W47°43.4'S076°04.7'W 0.985 13° 108° 88 km 00m50.3s
10:4649°20.7'S072°03.8'W49°12.5'S074°10.0'W49°17.2'S073°05.5'W 0.986 16° 106° 83 km 00m48.5s
10:4850°39.6'S069°38.2'W50°37.0'S071°27.6'W50°38.6'S070°31.5'W 0.987 18° 103° 79 km 00m47.0s
10:5051°51.1'S067°25.0'W51°52.2'S069°03.5'W51°51.8'S068°13.2'W 0.987 20° 100° 75 km 00m45.6s
10:5252°57.1'S065°21.3'W53°00.9'S066°51.5'W52°59.1'S066°05.5'W 0.988 22° 98° 71 km 00m44.3s
10:5453°58.8'S063°24.4'W54°04.6'S064°48.0'W54°01.8'S064°05.4'W 0.988 23° 96° 68 km 00m43.2s
10:5654°56.9'S061°32.5'W55°04.3'S062°50.7'W55°00.6'S062°10.9'W 0.989 25° 93° 66 km 00m42.1s
10:5855°52.0'S059°44.3'W56°00.7'S060°57.9'W55°56.4'S060°20.5'W 0.989 26° 91° 63 km 00m41.1s
11:0056°44.5'S057°58.7'W56°54.2'S059°08.5'W56°49.4'S058°33.1'W 0.990 28° 89° 61 km 00m40.1s
11:0257°34.7'S056°15.1'W57°45.3'S057°21.4'W57°40.0'S056°47.8'W 0.990 29° 86° 58 km 00m39.2s
11:0458°22.8'S054°32.8'W58°34.2'S055°35.9'W58°28.5'S055°03.9'W 0.990 30° 84° 56 km 00m38.4s
11:0659°09.1'S052°51.2'W59°21.1'S053°51.5'W59°15.1'S053°20.9'W 0.990 31° 81° 54 km 00m37.6s
11:0859°53.6'S051°09.8'W60°06.2'S052°07.6'W59°59.9'S051°38.3'W 0.991 32° 79° 53 km 00m36.8s
11:1060°36.5'S049°28.3'W60°49.6'S050°23.7'W60°43.1'S049°55.7'W 0.991 33° 76° 51 km 00m36.1s
11:1261°17.9'S047°46.3'W61°31.4'S048°39.5'W61°24.6'S048°12.6'W 0.991 34° 74° 49 km 00m35.4s
11:1461°57.8'S046°03.5'W62°11.7'S046°54.6'W62°04.7'S046°28.7'W 0.991 34° 71° 48 km 00m34.7s
11:1662°36.3'S044°19.6'W62°50.6'S045°08.6'W62°43.4'S044°43.8'W 0.992 35° 69° 47 km 00m34.1s
11:1863°13.4'S042°34.3'W63°28.1'S043°21.4'W63°20.7'S042°57.5'W 0.992 36° 66° 46 km 00m33.6s
11:2063°49.2'S040°47.3'W64°04.2'S041°32.5'W63°56.6'S041°09.6'W 0.992 37° 63° 44 km 00m33.0s
11:2264°23.6'S038°58.4'W64°38.9'S039°41.8'W64°31.2'S039°19.8'W 0.992 37° 60° 43 km 00m32.5s
11:2464°56.8'S037°07.4'W65°12.4'S037°49.0'W65°04.5'S037°27.9'W 0.992 38° 57° 42 km 00m32.0s
11:2665°28.6'S035°14.1'W65°44.4'S035°53.9'W65°36.5'S035°33.8'W 0.992 38° 54° 41 km 00m31.6s
11:2865°59.0'S033°18.4'W66°15.2'S033°56.2'W66°07.1'S033°37.1'W 0.993 39° 51° 41 km 00m31.1s
11:3066°28.2'S031°19.9'W66°44.6'S031°55.9'W66°36.3'S031°37.7'W 0.993 39° 48° 40 km 00m30.8s
11:3266°55.9'S029°18.6'W67°12.6'S029°52.7'W67°04.2'S029°35.5'W 0.993 40° 45° 39 km 00m30.4s
11:3467°22.3'S027°14.4'W67°39.2'S027°46.5'W67°30.7'S027°30.3'W 0.993 40° 42° 39 km 00m30.1s
11:3667°47.2'S025°07.1'W68°04.4'S025°37.2'W67°55.8'S025°21.9'W 0.993 40° 38° 38 km 00m29.8s
11:3868°10.7'S022°56.6'W68°28.1'S023°24.6'W68°19.4'S023°10.4'W 0.993 41° 35° 37 km 00m29.5s
11:4068°32.7'S020°43.0'W68°50.3'S021°08.8'W68°41.5'S020°55.7'W 0.993 41° 32° 37 km 00m29.3s
11:4268°53.1'S018°26.0'W69°11.0'S018°49.6'W69°02.0'S018°37.6'W 0.993 41° 28° 37 km 00m29.1s
11:4469°12.0'S016°05.9'W69°30.0'S016°27.0'W69°20.9'S016°16.3'W 0.993 41° 25° 36 km 00m28.9s
11:4669°29.1'S013°42.5'W69°47.4'S014°01.2'W69°38.2'S013°51.7'W 0.993 41° 21° 36 km 00m28.7s
11:4869°44.6'S011°16.1'W70°03.1'S011°32.1'W69°53.8'S011°24.0'W 0.993 41° 17° 36 km 00m28.6s
11:5069°58.4'S008°46.6'W70°17.0'S008°59.9'W70°07.6'S008°53.2'W 0.993 41° 13° 36 km 00m28.5s
11:5270°10.3'S006°14.3'W70°29.0'S006°24.8'W70°19.6'S006°19.5'W 0.993 41° 10° 35 km 00m28.4s
11:5470°20.4'S003°39.4'W70°39.3'S003°47.0'W70°29.7'S003°43.2'W 0.993 41° 35 km 00m28.4s
11:5670°28.5'S001°02.2'W70°47.5'S001°06.6'W70°38.0'S001°04.4'W 0.993 41° 35 km 00m28.4s
11:5870°34.7'S001°37.2'E70°53.9'S001°35.9'E70°44.2'S001°36.6'E 0.993 41° 358° 35 km 00m28.4s
12:0070°39.0'S004°18.4'E70°58.2'S004°20.3'E70°48.5'S004°19.3'E 0.993 41° 354° 36 km 00m28.5s
12:0270°41.2'S007°01.0'E71°00.4'S007°06.2'E70°50.7'S007°03.6'E 0.993 41° 350° 36 km 00m28.5s
12:0470°41.3'S009°44.7'E71°00.6'S009°53.3'E70°50.9'S009°48.9'E 0.993 41° 346° 36 km 00m28.6s
12:0670°39.3'S012°29.1'E70°58.6'S012°41.1'E70°48.9'S012°35.0'E 0.993 40° 342° 36 km 00m28.8s
12:0870°35.2'S015°13.8'E70°54.5'S015°29.3'E70°44.8'S015°21.4'E 0.993 40° 338° 37 km 00m28.9s
12:1070°29.0'S017°58.4'E70°48.2'S018°17.4'E70°38.6'S018°07.8'E 0.993 40° 334° 37 km 00m29.1s
12:1270°20.7'S020°42.7'E70°39.8'S021°05.1'E70°30.2'S020°53.7'E 0.993 39° 330° 37 km 00m29.4s
12:1470°10.1'S023°26.2'E70°29.1'S023°52.1'E70°19.6'S023°39.0'E 0.993 39° 326° 38 km 00m29.6s
12:1669°57.5'S026°08.6'E70°16.3'S026°38.0'E70°06.8'S026°23.1'E 0.993 39° 322° 39 km 00m29.9s
12:1869°42.6'S028°49.7'E70°01.3'S029°22.5'E69°51.9'S029°05.9'E 0.993 38° 319° 39 km 00m30.2s
12:2069°25.6'S031°29.3'E69°44.1'S032°05.4'E69°34.8'S031°47.1'E 0.993 38° 315° 40 km 00m30.6s
12:2269°06.4'S034°07.1'E69°24.6'S034°46.6'E69°15.5'S034°26.5'E 0.992 37° 311° 41 km 00m31.0s
12:2468°45.1'S036°43.0'E69°03.0'S037°25.8'E68°54.0'S037°04.1'E 0.992 36° 308° 42 km 00m31.4s
12:2668°21.6'S039°17.0'E68°39.1'S040°03.1'E68°30.3'S039°39.7'E 0.992 36° 304° 42 km 00m31.9s
12:2867°55.9'S041°49.0'E68°13.1'S042°38.4'E68°04.4'S042°13.3'E 0.992 35° 300° 44 km 00m32.4s
12:3067°28.0'S044°19.1'E67°44.7'S045°11.7'E67°36.3'S044°45.0'E 0.992 34° 297° 45 km 00m32.9s
12:3266°57.8'S046°47.3'E67°14.1'S047°43.3'E67°05.9'S047°14.9'E 0.992 33° 294° 46 km 00m33.4s
12:3466°25.4'S049°13.9'E66°41.1'S050°13.2'E66°33.2'S049°43.1'E 0.991 32° 290° 47 km 00m34.0s
12:3665°50.6'S051°39.0'E66°05.7'S052°41.7'E65°58.1'S052°09.9'E 0.991 31° 287° 49 km 00m34.7s
12:3865°13.4'S054°02.9'E65°27.8'S055°09.2'E65°20.6'S054°35.5'E 0.991 30° 284° 50 km 00m35.4s
12:4064°33.6'S056°26.0'E64°47.2'S057°36.1'E64°40.4'S057°00.5'E 0.991 29° 281° 52 km 00m36.1s
12:4263°51.2'S058°48.8'E64°03.8'S060°02.8'E63°57.5'S059°25.2'E 0.990 28° 277° 54 km 00m36.9s
12:4463°05.8'S061°11.8'E63°17.4'S062°30.2'E63°11.6'S061°50.3'E 0.990 27° 274° 56 km 00m37.7s
12:4662°17.3'S063°35.7'E62°27.6'S064°59.0'E62°22.5'S064°16.6'E 0.990 26° 271° 58 km 00m38.6s
12:4861°25.3'S066°01.5'E61°33.9'S067°30.2'E61°29.7'S066°45.1'E 0.989 24° 268° 61 km 00m39.6s
12:5060°29.3'S068°30.4'E60°35.9'S070°05.4'E60°32.7'S069°17.0'E 0.989 23° 265° 63 km 00m40.6s
12:5259°28.5'S071°03.8'E59°32.7'S072°46.6'E59°30.8'S071°54.1'E 0.989 21° 262° 66 km 00m41.8s
12:5458°22.1'S073°44.2'E58°22.9'S075°36.6'E58°22.8'S074°39.1'E 0.988 19° 259° 70 km 00m43.0s
12:5657°08.5'S076°34.8'E57°04.5'S078°40.1'E57°06.9'S077°35.8'E 0.988 17° 256° 73 km 00m44.4s
12:5855°45.0'S079°41.2'E55°33.7'S082°05.6'E55°40.1'S080°51.0'E 0.987 15° 253° 78 km 00m45.9s
13:0054°06.9'S083°14.1'E53°42.2'S086°11.4'E53°56.0'S084°38.5'E 0.986 12° 249° 84 km 00m47.8s
13:0252°01.7'S087°39.7'E51°00.6'S092°02.2'E51°36.7'S089°37.3'E 0.985 244° 91 km 00m50.3s
Limits46°45.2'S098°53.6'E47°26.7'S099°53.1'E47°05.9'S099°23.0'E 0.983 - 106 km 00m55.1s

ΔT = 39239.6 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse22:45:37.211:51:37.570°17.5'S170°45.2'W 41.5° 10.3° 35.5 km00m28.44s
Greatest Duration21:33:35.110:39:35.540°39.0'S269°12.2'E 0.0° 119.6° 111.6 km00m58.30s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Annular Solar Eclipse of -1693 Dec 13

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 -1693 Dec 13 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 39239.6 seconds for this eclipse. The uncertainty in ΔT is 2540.0 seconds corresponding to a standard error in longitude of the eclipse path of ± 10.61°.

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.