Path of the Annular Solar Eclipse of -1786 Dec 21

Fred Espenak

Introduction

The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of -1786 Dec 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 -1786 Dec 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
Limits01°31.7'N085°32.2'W00°20.5'S086°32.0'W00°35.6'N086°01.9'W 0.938 - 234 km 04m01.8s
11:4600°38.1'S080°40.4'W - - 00°25.1'S083°41.6'W 0.939 113° 231 km 04m03.8s
11:4803°14.9'S075°05.6'W04°10.3'S077°51.5'W03°44.2'S076°23.9'W 0.941 11° 113° 223 km 04m11.0s
11:5004°51.2'S071°47.7'W05°59.5'S073°58.3'W05°26.0'S072°50.7'W 0.942 15° 112° 218 km 04m15.2s
11:5206°06.9'S069°15.3'W07°20.5'S071°09.5'W06°44.2'S070°10.8'W 0.943 19° 112° 215 km 04m18.7s
11:5407°11.0'S067°08.0'W08°27.7'S068°51.8'W07°49.6'S067°58.7'W 0.944 22° 112° 212 km 04m21.8s
11:5608°07.3'S065°17.1'W09°26.0'S066°53.5'W08°46.8'S066°04.3'W 0.945 24° 111° 209 km 04m24.7s
11:5808°57.9'S063°37.8'W10°18.0'S065°08.6'W09°38.1'S064°22.4'W 0.945 27° 111° 207 km 04m27.4s
12:0009°44.0'S062°07.5'W11°05.2'S063°33.6'W10°24.8'S062°49.8'W 0.946 29° 111° 205 km 04m30.0s
12:0210°26.6'S060°44.2'W11°48.7'S062°06.3'W11°07.8'S061°24.6'W 0.946 31° 110° 203 km 04m32.5s
12:0411°06.2'S059°26.5'W12°29.0'S060°45.3'W11°47.7'S060°05.3'W 0.946 33° 110° 201 km 04m35.0s
12:0611°43.3'S058°13.6'W13°06.6'S059°29.3'W12°25.0'S058°50.9'W 0.947 35° 110° 199 km 04m37.3s
12:0812°18.1'S057°04.7'W13°41.9'S058°17.7'W13°00.1'S057°40.7'W 0.947 36° 109° 198 km 04m39.6s
12:1012°51.0'S055°59.2'W14°15.3'S057°09.7'W13°33.2'S056°34.0'W 0.948 38° 109° 196 km 04m41.9s
12:1213°22.2'S054°56.7'W14°46.8'S056°04.9'W14°04.6'S055°30.4'W 0.948 40° 108° 195 km 04m44.1s
12:1413°51.7'S053°56.8'W15°16.8'S055°02.9'W14°34.3'S054°29.4'W 0.948 41° 108° 193 km 04m46.3s
12:1614°19.9'S052°59.2'W15°45.2'S054°03.2'W15°02.6'S053°30.8'W 0.948 43° 108° 192 km 04m48.4s
12:1814°46.7'S052°03.7'W16°12.4'S053°05.8'W15°29.6'S052°34.3'W 0.949 44° 107° 191 km 04m50.5s
12:2015°12.3'S051°10.0'W16°38.3'S052°10.2'W15°55.3'S051°39.7'W 0.949 45° 107° 189 km 04m52.6s
12:2215°36.8'S050°17.9'W17°03.0'S051°16.4'W16°19.9'S050°46.8'W 0.949 47° 106° 188 km 04m54.6s
12:2416°00.2'S049°27.3'W17°26.7'S050°24.1'W16°43.5'S049°55.4'W 0.949 48° 106° 187 km 04m56.6s
12:2616°22.6'S048°38.1'W17°49.4'S049°33.2'W17°06.0'S049°05.3'W 0.950 50° 106° 186 km 04m58.5s
12:2816°44.1'S047°50.1'W18°11.1'S048°43.6'W17°27.6'S048°16.5'W 0.950 51° 105° 185 km 05m00.5s
12:3017°04.7'S047°03.2'W18°31.9'S047°55.2'W17°48.3'S047°28.9'W 0.950 52° 105° 184 km 05m02.4s
12:3217°24.4'S046°17.4'W18°51.9'S047°07.8'W18°08.2'S046°42.3'W 0.950 53° 104° 184 km 05m04.2s
12:3417°43.4'S045°32.5'W19°11.1'S046°21.4'W18°27.3'S045°56.6'W 0.950 55° 104° 183 km 05m06.1s
12:3618°01.6'S044°48.4'W19°29.5'S045°35.8'W18°45.6'S045°11.9'W 0.951 56° 104° 182 km 05m07.9s
12:3818°19.0'S044°05.2'W19°47.2'S044°51.1'W19°03.1'S044°27.9'W 0.951 57° 103° 181 km 05m09.6s
12:4018°35.7'S043°22.7'W20°04.1'S044°07.2'W19°19.9'S043°44.7'W 0.951 58° 103° 180 km 05m11.4s
12:4218°51.8'S042°40.8'W20°20.4'S043°23.9'W19°36.1'S043°02.1'W 0.951 59° 102° 180 km 05m13.1s
12:4419°07.1'S041°59.6'W20°36.0'S042°41.3'W19°51.6'S042°20.3'W 0.951 61° 102° 179 km 05m14.7s
12:4619°21.9'S041°19.0'W20°51.0'S041°59.3'W20°06.4'S041°38.9'W 0.951 62° 101° 179 km 05m16.3s
12:4819°36.0'S040°38.9'W21°05.3'S041°17.8'W20°20.7'S040°58.2'W 0.952 63° 101° 178 km 05m17.9s
12:5019°49.5'S039°59.3'W21°19.0'S040°36.9'W20°34.3'S040°17.9'W 0.952 64° 101° 177 km 05m19.5s
12:5220°02.4'S039°20.2'W21°32.2'S039°56.4'W20°47.3'S039°38.1'W 0.952 65° 100° 177 km 05m21.0s
12:5420°14.8'S038°41.5'W21°44.7'S039°16.3'W20°59.8'S038°58.8'W 0.952 66° 100° 176 km 05m22.4s
12:5620°26.6'S038°03.3'W21°56.7'S038°36.7'W21°11.6'S038°19.8'W 0.952 67° 99° 176 km 05m23.8s
12:5820°37.8'S037°25.3'W22°08.1'S037°57.4'W21°23.0'S037°41.2'W 0.952 68° 99° 176 km 05m25.2s
13:0020°48.5'S036°47.7'W22°19.0'S037°18.5'W21°33.8'S037°02.9'W 0.952 69° 98° 175 km 05m26.5s
13:0220°58.7'S036°10.5'W22°29.4'S036°39.8'W21°44.1'S036°25.0'W 0.952 70° 98° 175 km 05m27.8s
13:0421°08.4'S035°33.5'W22°39.2'S036°01.5'W21°53.8'S035°47.4'W 0.952 72° 97° 175 km 05m29.0s
13:0621°17.5'S034°56.8'W22°48.5'S035°23.4'W22°03.0'S035°10.0'W 0.952 73° 97° 174 km 05m30.2s
13:0821°26.2'S034°20.3'W22°57.4'S034°45.6'W22°11.8'S034°32.8'W 0.953 74° 96° 174 km 05m31.4s
13:1021°34.3'S033°44.1'W23°05.7'S034°08.0'W22°20.0'S033°55.9'W 0.953 75° 96° 174 km 05m32.4s
13:1221°42.0'S033°08.1'W23°13.5'S033°30.6'W22°27.7'S033°19.2'W 0.953 76° 95° 173 km 05m33.5s
13:1421°49.1'S032°32.2'W23°20.8'S032°53.4'W22°35.0'S032°42.7'W 0.953 77° 95° 173 km 05m34.4s
13:1621°55.8'S031°56.6'W23°27.7'S032°16.4'W22°41.8'S032°06.4'W 0.953 78° 94° 173 km 05m35.3s
13:1822°02.1'S031°21.1'W23°34.1'S031°39.5'W22°48.1'S031°30.2'W 0.953 79° 93° 173 km 05m36.2s
13:2022°07.8'S030°45.7'W23°40.0'S031°02.8'W22°53.9'S030°54.1'W 0.953 80° 93° 173 km 05m37.0s
13:2222°13.1'S030°10.5'W23°45.4'S030°26.2'W22°59.3'S030°18.2'W 0.953 81° 92° 172 km 05m37.7s
13:2422°18.0'S029°35.3'W23°50.4'S029°49.6'W23°04.2'S029°42.4'W 0.953 82° 91° 172 km 05m38.4s
13:2622°22.3'S029°00.3'W23°54.9'S029°13.2'W23°08.6'S029°06.7'W 0.953 83° 90° 172 km 05m39.0s
13:2822°26.3'S028°25.3'W23°58.9'S028°36.9'W23°12.6'S028°31.0'W 0.953 84° 89° 172 km 05m39.5s
13:3022°29.7'S027°50.4'W24°02.5'S028°00.6'W23°16.1'S027°55.4'W 0.953 85° 88° 172 km 05m40.0s
13:3222°32.8'S027°15.5'W24°05.6'S027°24.3'W23°19.2'S027°19.9'W 0.953 86° 87° 172 km 05m40.4s
13:3422°35.3'S026°40.7'W24°08.3'S026°48.1'W23°21.8'S026°44.4'W 0.953 87° 84° 172 km 05m40.8s
13:3622°37.5'S026°05.9'W24°10.5'S026°11.9'W23°24.0'S026°08.9'W 0.953 88° 80° 172 km 05m41.1s
13:3822°39.1'S025°31.2'W24°12.2'S025°35.8'W23°25.7'S025°33.4'W 0.953 89° 70° 172 km 05m41.3s
13:4022°40.4'S024°56.4'W24°13.5'S024°59.6'W23°26.9'S024°58.0'W 0.953 90° 18° 172 km 05m41.5s
13:4222°41.1'S024°21.6'W24°14.4'S024°23.4'W23°27.7'S024°22.5'W 0.953 89° 298° 172 km 05m41.6s
13:4422°41.5'S023°46.8'W24°14.7'S023°47.2'W23°28.1'S023°47.0'W 0.953 88° 284° 172 km 05m41.6s
13:4622°41.4'S023°12.0'W24°14.7'S023°10.9'W23°28.0'S023°11.4'W 0.953 87° 278° 172 km 05m41.6s
13:4822°40.8'S022°37.1'W24°14.1'S022°34.6'W23°27.5'S022°35.8'W 0.953 86° 276° 172 km 05m41.5s
13:5022°39.8'S022°02.1'W24°13.2'S021°58.2'W23°26.5'S022°00.2'W 0.953 85° 274° 173 km 05m41.3s
13:5222°38.3'S021°27.0'W24°11.7'S021°21.8'W23°25.0'S021°24.4'W 0.953 84° 273° 173 km 05m41.1s
13:5422°36.4'S020°51.9'W24°09.8'S020°45.2'W23°23.1'S020°48.6'W 0.953 83° 272° 173 km 05m40.8s
13:5622°34.0'S020°16.7'W24°07.4'S020°08.6'W23°20.7'S020°12.7'W 0.953 82° 271° 173 km 05m40.4s
13:5822°31.2'S019°41.3'W24°04.6'S019°31.8'W23°17.9'S019°36.6'W 0.953 81° 270° 173 km 05m40.0s
14:0022°27.9'S019°05.8'W24°01.3'S018°54.9'W23°14.6'S019°00.4'W 0.953 80° 269° 173 km 05m39.5s
14:0222°24.2'S018°30.2'W23°57.5'S018°17.8'W23°10.8'S018°24.1'W 0.953 79° 269° 174 km 05m38.9s
14:0422°19.9'S017°54.4'W23°53.3'S017°40.6'W23°06.6'S017°47.6'W 0.952 78° 268° 174 km 05m38.3s
14:0622°15.2'S017°18.4'W23°48.5'S017°03.2'W23°01.9'S017°10.9'W 0.952 77° 267° 174 km 05m37.6s
14:0822°10.0'S016°42.3'W23°43.3'S016°25.6'W22°56.7'S016°34.0'W 0.952 76° 267° 175 km 05m36.9s
14:1022°04.4'S016°05.9'W23°37.6'S015°47.8'W22°51.0'S015°56.9'W 0.952 75° 266° 175 km 05m36.1s
14:1221°58.2'S015°29.3'W23°31.4'S015°09.8'W22°44.8'S015°19.6'W 0.952 74° 266° 175 km 05m35.2s
14:1421°51.6'S014°52.5'W23°24.6'S014°31.5'W22°38.1'S014°42.1'W 0.952 73° 265° 176 km 05m34.3s
14:1621°44.4'S014°15.3'W23°17.4'S013°52.9'W22°30.9'S014°04.2'W 0.952 72° 265° 176 km 05m33.3s
14:1821°36.7'S013°37.9'W23°09.7'S013°14.1'W22°23.2'S013°26.1'W 0.952 71° 264° 176 km 05m32.3s
14:2021°28.5'S013°00.2'W23°01.4'S012°34.9'W22°14.9'S012°47.7'W 0.952 70° 264° 177 km 05m31.2s
14:2221°19.8'S012°22.2'W22°52.6'S011°55.4'W22°06.2'S012°08.9'W 0.952 69° 263° 177 km 05m30.1s
14:2421°10.5'S011°43.7'W22°43.2'S011°15.5'W21°56.9'S011°29.8'W 0.952 68° 263° 178 km 05m28.9s
14:2621°00.7'S011°04.9'W22°33.3'S010°35.2'W21°47.0'S010°50.2'W 0.951 66° 262° 178 km 05m27.6s
14:2820°50.3'S010°25.7'W22°22.8'S009°54.5'W21°36.6'S010°10.3'W 0.951 65° 262° 179 km 05m26.3s
14:3020°39.4'S009°46.1'W22°11.7'S009°13.4'W21°25.5'S009°29.9'W 0.951 64° 261° 179 km 05m25.0s
14:3220°27.8'S009°06.0'W22°00.0'S008°31.8'W21°13.9'S008°49.0'W 0.951 63° 261° 180 km 05m23.6s
14:3420°15.7'S008°25.3'W21°47.8'S007°49.6'W21°01.7'S008°07.7'W 0.951 62° 260° 181 km 05m22.2s
14:3620°02.9'S007°44.1'W21°34.8'S007°06.9'W20°48.9'S007°25.7'W 0.951 61° 260° 181 km 05m20.7s
14:3819°49.5'S007°02.3'W21°21.3'S006°23.6'W20°35.4'S006°43.2'W 0.951 60° 259° 182 km 05m19.2s
14:4019°35.4'S006°19.9'W21°07.1'S005°39.7'W20°21.2'S006°00.0'W 0.950 59° 259° 183 km 05m17.6s
14:4219°20.6'S005°36.8'W20°52.1'S004°55.0'W20°06.4'S005°16.1'W 0.950 57° 258° 184 km 05m16.0s
14:4419°05.2'S004°53.0'W20°36.5'S004°09.6'W19°50.8'S004°31.5'W 0.950 56° 258° 184 km 05m14.3s
14:4618°48.9'S004°08.3'W20°20.1'S003°23.3'W19°34.5'S003°46.0'W 0.950 55° 258° 185 km 05m12.6s
14:4818°32.0'S003°22.8'W20°03.0'S002°36.1'W19°17.5'S002°59.7'W 0.950 54° 257° 186 km 05m10.9s
14:5018°14.2'S002°36.4'W19°45.0'S001°48.0'W18°59.6'S002°12.5'W 0.949 52° 257° 187 km 05m09.1s
14:5217°55.5'S001°48.9'W19°26.2'S000°58.9'W18°40.9'S001°24.1'W 0.949 51° 256° 188 km 05m07.3s
14:5417°36.0'S001°00.3'W19°06.5'S000°08.5'W18°21.2'S000°34.7'W 0.949 50° 256° 189 km 05m05.5s
14:5617°15.6'S000°10.5'W18°45.8'S000°43.1'E18°00.7'S000°16.0'E 0.949 49° 255° 190 km 05m03.6s
14:5816°54.2'S000°40.6'E18°24.1'S001°36.0'E17°39.2'S001°08.0'E 0.948 47° 255° 191 km 05m01.7s
15:0016°31.7'S001°33.2'E18°01.4'S002°30.5'E17°16.6'S002°01.5'E 0.948 46° 254° 193 km 04m59.7s
15:0216°08.1'S002°27.4'E17°37.6'S003°26.7'E16°52.9'S002°56.7'E 0.948 44° 254° 194 km 04m57.7s
15:0415°43.3'S003°23.4'E17°12.5'S004°24.8'E16°27.9'S003°53.7'E 0.948 43° 254° 195 km 04m55.6s
15:0615°17.2'S004°21.4'E16°46.1'S005°24.9'E16°01.7'S004°52.7'E 0.947 41° 253° 196 km 04m53.5s
15:0814°49.7'S005°21.6'E16°18.3'S006°27.4'E15°34.0'S005°54.1'E 0.947 40° 253° 198 km 04m51.4s
15:1014°20.7'S006°24.4'E15°48.9'S007°32.6'E15°04.8'S006°58.0'E 0.947 38° 252° 199 km 04m49.2s
15:1213°49.9'S007°30.0'E15°17.7'S008°40.9'E14°33.9'S008°04.9'E 0.946 37° 252° 201 km 04m47.0s
15:1413°17.3'S008°38.9'E14°44.6'S009°52.6'E14°01.0'S009°15.2'E 0.946 35° 252° 203 km 04m44.7s
15:1612°42.5'S009°51.6'E14°09.3'S011°08.5'E13°26.0'S010°29.5'E 0.945 33° 251° 204 km 04m42.3s
15:1812°05.3'S011°08.9'E13°31.4'S012°29.3'E12°48.4'S011°48.4'E 0.945 31° 251° 206 km 04m39.9s
15:2011°25.2'S012°31.5'E12°50.4'S013°55.9'E12°07.9'S013°13.0'E 0.945 29° 250° 208 km 04m37.4s
15:2210°41.7'S014°00.8'E12°05.9'S015°29.8'E11°24.0'S014°44.4'E 0.944 27° 250° 211 km 04m34.8s
15:2409°54.1'S015°38.2'E11°16.9'S017°12.9'E10°35.7'S016°24.6'E 0.943 25° 249° 213 km 04m32.0s
15:2609°01.2'S017°26.5'E10°22.1'S019°08.2'E09°41.9'S018°16.2'E 0.943 22° 249° 216 km 04m29.1s
15:2808°01.2'S019°29.4'E09°19.4'S021°20.8'E08°40.7'S020°23.7'E 0.942 20° 249° 218 km 04m26.0s
15:3006°51.1'S021°54.1'E08°04.6'S024°00.2'E07°28.4'S022°55.1'E 0.941 16° 248° 222 km 04m22.5s
15:3205°23.9'S024°56.0'E06°27.6'S027°29.9'E05°57.0'S026°09.3'E 0.940 12° 248° 226 km 04m18.4s
15:3403°17.5'S029°26.1'E03°34.2'S033°57.6'E03°34.4'S031°20.3'E 0.939 247° 233 km 04m12.6s
Limits00°08.3'S036°28.9'E02°03.0'S037°30.2'E01°05.6'S036°59.4'E 0.937 - 239 km 04m07.3s

ΔT = 41346.3 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse01:09:23.313:40:17.023°27.1'S162°22.2'E 89.6° 0.6° 172.1 km05m41.50s
Greatest Duration01:12:59.113:43:52.823°28.1'S023°49.1'W 88.1° 284.0° 172.2 km05m41.61s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Annular Solar Eclipse of -1786 Dec 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 -1786 Dec 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 41346.3 seconds for this eclipse. The uncertainty in ΔT is 2878.4 seconds corresponding to a standard error in longitude of the eclipse path of ± 12.03°.

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.