Path of the Annular Solar Eclipse of -1768 Dec 31

Fred Espenak

Introduction

The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of -1768 Dec 31 . 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 -1768 Dec 31
UT1 Northern Limit Southern Limit Central Line M:S Sun Sun Path Central
Latitude Longitude Latitude Longitude Latitude Longitude Ratio Alt. Azm. Width Duration
Limits03°30.9'S149°58.6'E05°13.1'S149°01.2'E04°22.0'S149°30.1'E 0.943 - 215 km 03m40.5s
20:0208°12.1'S160°04.2'E08°58.6'S157°21.7'E08°37.1'S158°47.8'E 0.946 11° 113° 204 km 03m47.6s
20:0409°50.8'S163°31.0'E10°52.2'S161°27.1'E10°22.2'S162°31.2'E 0.947 15° 112° 200 km 03m51.1s
20:0611°06.7'S166°09.3'E12°14.2'S164°22.8'E11°40.9'S165°17.5'E 0.948 19° 111° 196 km 03m53.9s
20:0812°10.0'S168°21.6'E13°21.0'S166°46.0'E12°45.8'S167°34.9'E 0.949 22° 111° 193 km 03m56.5s
20:1013°05.0'S170°17.0'E14°18.2'S168°49.2'E13°41.8'S169°34.0'E 0.949 24° 110° 190 km 03m58.9s
20:1213°53.9'S172°00.5'E15°08.7'S170°38.7'E14°31.5'S171°20.3'E 0.950 26° 110° 188 km 04m01.2s
20:1414°38.1'S173°34.8'E15°54.1'S172°18.0'E15°16.2'S172°57.1'E 0.950 29° 109° 186 km 04m03.3s
20:1615°18.5'S175°02.1'E16°35.4'S173°49.4'E15°57.1'S174°26.4'E 0.951 31° 109° 184 km 04m05.4s
20:1815°55.7'S176°23.6'E17°13.4'S175°14.6'E16°34.6'S175°49.6'E 0.951 33° 108° 182 km 04m07.4s
20:2016°30.2'S177°40.3'E17°48.5'S176°34.5'E17°09.4'S177°07.9'E 0.952 34° 108° 180 km 04m09.3s
20:2217°02.3'S178°52.9'E18°21.2'S177°50.1'E17°41.8'S178°22.0'E 0.952 36° 107° 178 km 04m11.2s
20:2417°32.4'S179°58.0'W18°51.7'S179°02.0'E18°12.1'S179°32.4'E 0.952 38° 106° 177 km 04m13.1s
20:2618°00.6'S178°51.8'W19°20.3'S179°49.4'W18°40.5'S179°20.2'W 0.953 39° 106° 175 km 04m14.9s
20:2818°27.1'S177°48.4'W19°47.2'S178°43.6'W19°07.2'S178°15.6'W 0.953 41° 105° 174 km 04m16.7s
20:3018°52.1'S176°47.2'W20°12.5'S177°40.2'W19°32.3'S177°13.4'W 0.953 43° 105° 173 km 04m18.4s
20:3219°15.7'S175°48.2'W20°36.4'S176°39.0'W19°56.1'S176°13.3'W 0.954 44° 104° 171 km 04m20.2s
20:3419°38.0'S174°51.0'W20°59.0'S175°39.8'W20°18.5'S175°15.1'W 0.954 45° 104° 170 km 04m21.8s
20:3619°59.1'S173°55.6'W21°20.3'S174°42.4'W20°39.7'S174°18.7'W 0.954 47° 103° 169 km 04m23.5s
20:3820°19.0'S173°01.6'W21°40.4'S173°46.5'W20°59.7'S173°23.8'W 0.954 48° 103° 168 km 04m25.1s
20:4020°37.9'S172°09.1'W21°59.5'S172°52.1'W21°18.7'S172°30.3'W 0.955 49° 102° 167 km 04m26.7s
20:4220°55.7'S171°17.8'W22°17.6'S171°59.1'W21°36.7'S171°38.2'W 0.955 51° 102° 166 km 04m28.3s
20:4421°12.7'S170°27.6'W22°34.7'S171°07.2'W21°53.7'S170°47.2'W 0.955 52° 101° 165 km 04m29.8s
20:4621°28.7'S169°38.6'W22°50.8'S170°16.4'W22°09.8'S169°57.3'W 0.955 53° 101° 165 km 04m31.3s
20:4821°43.8'S168°50.5'W23°06.1'S169°26.7'W22°25.0'S169°08.4'W 0.955 55° 100° 164 km 04m32.8s
20:5021°58.1'S168°03.4'W23°20.6'S168°37.9'W22°39.4'S168°20.4'W 0.956 56° 99° 163 km 04m34.3s
20:5222°11.7'S167°17.1'W23°34.2'S167°50.0'W22°52.9'S167°33.3'W 0.956 57° 99° 162 km 04m35.7s
20:5422°24.4'S166°31.6'W23°47.1'S167°02.9'W23°05.8'S166°47.1'W 0.956 58° 98° 162 km 04m37.1s
20:5622°36.4'S165°46.8'W23°59.2'S166°16.6'W23°17.8'S166°01.5'W 0.956 59° 98° 161 km 04m38.4s
20:5822°47.7'S165°02.7'W24°10.6'S165°30.9'W23°29.2'S165°16.6'W 0.956 61° 97° 160 km 04m39.7s
21:0022°58.3'S164°19.2'W24°21.3'S164°45.9'W23°39.8'S164°32.4'W 0.956 62° 97° 160 km 04m41.0s
21:0223°08.3'S163°36.4'W24°31.4'S164°01.5'W23°49.8'S163°48.8'W 0.956 63° 96° 159 km 04m42.3s
21:0423°17.6'S162°54.1'W24°40.7'S163°17.7'W23°59.1'S163°05.7'W 0.957 64° 96° 159 km 04m43.5s
21:0623°26.2'S162°12.3'W24°49.5'S162°34.4'W24°07.8'S162°23.2'W 0.957 65° 95° 158 km 04m44.6s
21:0823°34.2'S161°31.0'W24°57.5'S161°51.7'W24°15.9'S161°41.2'W 0.957 66° 94° 158 km 04m45.8s
21:1023°41.7'S160°50.2'W25°05.0'S161°09.4'W24°23.3'S160°59.6'W 0.957 67° 94° 157 km 04m46.8s
21:1223°48.5'S160°09.8'W25°11.9'S160°27.5'W24°30.2'S160°18.5'W 0.957 68° 93° 157 km 04m47.9s
21:1423°54.8'S159°29.8'W25°18.2'S159°46.0'W24°36.5'S159°37.8'W 0.957 69° 93° 156 km 04m48.9s
21:1624°00.5'S158°50.2'W25°23.9'S159°05.0'W24°42.2'S158°57.5'W 0.957 70° 92° 156 km 04m49.9s
21:1824°05.6'S158°10.9'W25°29.1'S158°24.3'W24°47.3'S158°17.5'W 0.957 72° 91° 156 km 04m50.8s
21:2024°10.2'S157°32.0'W25°33.7'S157°44.0'W24°51.9'S157°37.9'W 0.957 73° 91° 156 km 04m51.6s
21:2224°14.2'S156°53.4'W25°37.7'S157°03.9'W24°55.9'S156°58.6'W 0.957 74° 90° 155 km 04m52.5s
21:2424°17.7'S156°15.1'W25°41.2'S156°24.2'W24°59.5'S156°19.6'W 0.957 75° 89° 155 km 04m53.2s
21:2624°20.7'S155°37.1'W25°44.2'S155°44.8'W25°02.4'S155°40.9'W 0.958 76° 88° 155 km 04m54.0s
21:2824°23.2'S154°59.3'W25°46.6'S155°05.6'W25°04.9'S155°02.4'W 0.958 77° 88° 155 km 04m54.7s
21:3024°25.1'S154°21.8'W25°48.6'S154°26.7'W25°06.8'S154°24.2'W 0.958 78° 87° 154 km 04m55.3s
21:3224°26.6'S153°44.5'W25°50.0'S153°48.1'W25°08.3'S153°46.2'W 0.958 79° 86° 154 km 04m55.9s
21:3424°27.5'S153°07.4'W25°50.9'S153°09.6'W25°09.2'S153°08.5'W 0.958 80° 85° 154 km 04m56.4s
21:3624°28.0'S152°30.6'W25°51.3'S152°31.4'W25°09.7'S152°30.9'W 0.958 81° 84° 154 km 04m56.9s
21:3824°28.0'S151°53.9'W25°51.2'S151°53.3'W25°09.6'S151°53.6'W 0.958 82° 82° 154 km 04m57.3s
21:4024°27.5'S151°17.4'W25°50.6'S151°15.4'W25°09.0'S151°16.4'W 0.958 83° 81° 154 km 04m57.7s
21:4224°26.5'S150°41.0'W25°49.6'S150°37.7'W25°08.0'S150°39.4'W 0.958 84° 79° 154 km 04m58.0s
21:4424°25.0'S150°04.8'W25°48.0'S150°00.2'W25°06.5'S150°02.5'W 0.958 85° 77° 154 km 04m58.3s
21:4624°23.0'S149°28.7'W25°45.9'S149°22.7'W25°04.5'S149°25.7'W 0.958 86° 74° 153 km 04m58.5s
21:4824°20.6'S148°52.8'W25°43.4'S148°45.5'W25°02.0'S148°49.1'W 0.958 87° 69° 153 km 04m58.7s
21:5024°17.7'S148°16.9'W25°40.4'S148°08.3'W24°59.1'S148°12.6'W 0.958 88° 60° 153 km 04m58.8s
21:5224°14.3'S147°41.2'W25°36.9'S147°31.2'W24°55.6'S147°36.2'W 0.958 89° 42° 153 km 04m58.8s
21:5424°10.5'S147°05.5'W25°33.0'S146°54.2'W24°51.7'S146°59.9'W 0.958 89° 358° 154 km 04m58.9s
21:5624°06.2'S146°29.9'W25°28.5'S146°17.3'W24°47.3'S146°23.6'W 0.958 89° 312° 154 km 04m58.8s
21:5824°01.4'S145°54.4'W25°23.6'S145°40.5'W24°42.5'S145°47.4'W 0.958 88° 293° 154 km 04m58.7s
22:0023°56.1'S145°18.9'W25°18.2'S145°03.7'W24°37.2'S145°11.3'W 0.958 87° 284° 154 km 04m58.6s
22:0223°50.4'S144°43.4'W25°12.4'S144°26.9'W24°31.4'S144°35.2'W 0.958 86° 279° 154 km 04m58.4s
22:0423°44.2'S144°07.9'W25°06.0'S143°50.2'W24°25.1'S143°59.1'W 0.958 85° 275° 154 km 04m58.1s
22:0623°37.6'S143°32.5'W24°59.2'S143°13.4'W24°18.4'S143°23.0'W 0.958 84° 273° 154 km 04m57.8s
22:0823°30.5'S142°57.0'W24°51.9'S142°36.7'W24°11.2'S142°46.9'W 0.958 83° 271° 154 km 04m57.5s
22:1023°22.8'S142°21.6'W24°44.1'S142°00.0'W24°03.5'S142°10.8'W 0.958 82° 270° 155 km 04m57.1s
22:1223°14.8'S141°46.1'W24°35.9'S141°23.2'W23°55.3'S141°34.7'W 0.958 81° 269° 155 km 04m56.6s
22:1423°06.2'S141°10.5'W24°27.2'S140°46.4'W23°46.7'S140°58.5'W 0.957 80° 267° 155 km 04m56.1s
22:1622°57.2'S140°34.9'W24°17.9'S140°09.5'W23°37.6'S140°22.3'W 0.957 79° 266° 155 km 04m55.6s
22:1822°47.7'S139°59.2'W24°08.2'S139°32.6'W23°27.9'S139°46.0'W 0.957 78° 266° 156 km 04m55.0s
22:2022°37.6'S139°23.4'W23°58.0'S138°55.6'W23°17.8'S139°09.5'W 0.957 77° 265° 156 km 04m54.4s
22:2222°27.1'S138°47.4'W23°47.3'S138°18.4'W23°07.2'S138°33.0'W 0.957 76° 264° 156 km 04m53.7s
22:2422°16.1'S138°11.4'W23°36.1'S137°41.1'W22°56.1'S137°56.4'W 0.957 75° 263° 156 km 04m53.0s
22:2622°04.6'S137°35.2'W23°24.4'S137°03.7'W22°44.5'S137°19.6'W 0.957 74° 263° 157 km 04m52.3s
22:2821°52.6'S136°58.8'W23°12.2'S136°26.1'W22°32.4'S136°42.6'W 0.957 73° 262° 157 km 04m51.5s
22:3021°40.1'S136°22.3'W22°59.5'S135°48.4'W22°19.8'S136°05.4'W 0.957 72° 261° 158 km 04m50.6s
22:3221°27.0'S135°45.5'W22°46.2'S135°10.4'W22°06.6'S135°28.1'W 0.957 71° 261° 158 km 04m49.8s
22:3421°13.5'S135°08.5'W22°32.4'S134°32.2'W21°52.9'S134°50.4'W 0.957 69° 260° 159 km 04m48.8s
22:3620°59.3'S134°31.2'W22°18.1'S133°53.7'W21°38.7'S134°12.6'W 0.956 68° 260° 159 km 04m47.9s
22:3820°44.6'S133°53.7'W22°03.2'S133°14.9'W21°23.9'S133°34.4'W 0.956 67° 259° 160 km 04m46.9s
22:4020°29.4'S133°15.8'W21°47.7'S132°35.8'W21°08.6'S132°56.0'W 0.956 66° 259° 160 km 04m45.9s
22:4220°13.6'S132°37.6'W21°31.7'S131°56.4'W20°52.6'S132°17.2'W 0.956 65° 258° 161 km 04m44.9s
22:4419°57.2'S131°59.0'W21°15.1'S131°16.6'W20°36.1'S131°38.0'W 0.956 64° 258° 161 km 04m43.8s
22:4619°40.2'S131°20.0'W20°57.9'S130°36.4'W20°19.0'S130°58.4'W 0.956 63° 257° 162 km 04m42.7s
22:4819°22.5'S130°40.6'W20°40.0'S129°55.7'W20°01.3'S130°18.3'W 0.956 62° 257° 163 km 04m41.5s
22:5019°04.3'S130°00.7'W20°21.5'S129°14.6'W19°42.9'S129°37.8'W 0.955 61° 256° 163 km 04m40.3s
22:5218°45.3'S129°20.2'W20°02.4'S128°32.8'W19°23.9'S128°56.7'W 0.955 59° 256° 164 km 04m39.1s
22:5418°25.7'S128°39.2'W19°42.6'S127°50.5'W19°04.1'S128°15.0'W 0.955 58° 255° 165 km 04m37.9s
22:5618°05.4'S127°57.5'W19°22.1'S127°07.6'W18°43.7'S127°32.8'W 0.955 57° 255° 166 km 04m36.7s
22:5817°44.4'S127°15.2'W19°00.8'S126°24.0'W18°22.6'S126°49.8'W 0.955 56° 254° 167 km 04m35.4s
23:0017°22.6'S126°32.1'W18°38.8'S125°39.5'W18°00.7'S126°06.0'W 0.955 55° 254° 168 km 04m34.1s
23:0217°00.1'S125°48.2'W18°16.0'S124°54.3'W17°38.0'S125°21.4'W 0.954 53° 254° 169 km 04m32.7s
23:0416°36.7'S125°03.4'W17°52.4'S124°08.1'W17°14.5'S124°36.0'W 0.954 52° 253° 169 km 04m31.4s
23:0616°12.4'S124°17.6'W17°27.9'S123°20.9'W16°50.2'S123°49.5'W 0.954 51° 253° 171 km 04m30.0s
23:0815°47.2'S123°30.8'W17°02.5'S122°32.6'W16°24.9'S123°01.9'W 0.954 50° 252° 172 km 04m28.6s
23:1015°21.1'S122°42.7'W16°36.1'S121°43.0'W15°58.6'S122°13.1'W 0.953 48° 252° 173 km 04m27.1s
23:1214°54.0'S121°53.4'W16°08.7'S120°52.1'W15°31.4'S121°23.0'W 0.953 47° 252° 174 km 04m25.7s
23:1414°25.7'S121°02.6'W15°40.2'S119°59.7'W15°03.0'S120°31.5'W 0.953 45° 251° 175 km 04m24.2s
23:1613°56.4'S120°10.2'W15°10.6'S119°05.7'W14°33.5'S119°38.2'W 0.953 44° 251° 176 km 04m22.7s
23:1813°25.7'S119°16.1'W14°39.7'S118°09.7'W14°02.7'S118°43.2'W 0.952 43° 250° 178 km 04m21.1s
23:2012°53.7'S118°19.9'W14°07.3'S117°11.6'W13°30.5'S117°46.1'W 0.952 41° 250° 179 km 04m19.6s
23:2212°20.2'S117°21.5'W13°33.5'S116°11.2'W12°56.9'S116°46.7'W 0.952 40° 250° 181 km 04m18.0s
23:2411°45.1'S116°20.5'W12°58.1'S115°08.0'W12°21.6'S115°44.6'W 0.951 38° 249° 182 km 04m16.3s
23:2611°08.2'S115°16.5'W12°20.7'S114°01.7'W11°44.5'S114°39.5'W 0.951 36° 249° 184 km 04m14.7s
23:2810°29.3'S114°09.2'W11°41.3'S112°51.8'W11°05.4'S113°30.9'W 0.951 34° 249° 186 km 04m13.0s
23:3009°48.1'S112°57.9'W10°59.6'S111°37.6'W10°23.9'S112°18.2'W 0.950 33° 248° 187 km 04m11.2s
23:3209°04.2'S111°41.9'W10°15.0'S110°18.3'W09°39.7'S111°00.6'W 0.950 31° 248° 189 km 04m09.4s
23:3408°17.3'S110°20.2'W09°27.2'S108°52.8'W08°52.3'S109°37.1'W 0.949 29° 248° 191 km 04m07.5s
23:3607°26.6'S108°51.5'W08°35.5'S107°19.5'W08°01.1'S108°06.2'W 0.949 27° 247° 194 km 04m05.6s
23:3806°31.3'S107°14.0'W07°38.7'S105°36.3'W07°05.2'S106°26.0'W 0.948 24° 247° 196 km 04m03.5s
23:4005°30.0'S105°24.6'W06°35.4'S103°39.6'W06°02.9'S104°33.1'W 0.947 22° 247° 199 km 04m01.3s
23:4204°20.6'S103°18.8'W05°22.8'S101°23.4'W04°52.1'S102°22.4'W 0.947 19° 246° 202 km 03m59.0s
23:4402°58.9'S100°47.5'W03°55.4'S098°35.4'W03°27.8'S099°43.5'W 0.946 15° 246° 205 km 03m56.3s
23:4601°15.2'S097°29.5'W01°57.7'S094°40.6'W01°38.1'S096°09.5'W 0.945 11° 246° 210 km 03m53.0s
23:4801°36.3'N091°44.0'W - - 02°17.1'N087°56.9'W 0.942 246° 219 km 03m46.8s
Limits03°40.7'N087°16.4'W01°55.9'N086°17.7'W02°48.4'N086°47.2'W 0.942 - 221 km 03m46.0s

ΔT = 40933.4 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse09:16:15.521:54:02.024°51.6'S041°59.4'E 89.0° 356.6° 153.5 km04m58.86s
Greatest Duration09:15:34.221:53:20.824°53.0'S147°11.7'W 88.9° 15.3° 153.5 km04m58.86s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Annular Solar Eclipse of -1768 Dec 31

Links to Additional Solar Eclipse Predictions

  • Home - home page of EclipseWise with predictions for both solar and lunar eclipses
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Eclipse Predictions

Predictions for the Annular Solar Eclipse of -1768 Dec 31 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 40933.4 seconds for this eclipse. The uncertainty in ΔT is 2811.4 seconds corresponding to a standard error in longitude of the eclipse path of ± 11.75°.

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.