Path of the Annular Solar Eclipse of -1051 Dec 24

Fred Espenak

Introduction

The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of -1051 Dec 24 . 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 -1051 Dec 24
UT1 Northern Limit Southern Limit Central Line M:S Sun Sun Path Central
Latitude Longitude Latitude Longitude Latitude Longitude Ratio Alt. Azm. Width Duration
Limits22°22.8'S031°39.7'E23°42.4'S030°28.8'E23°02.4'S031°04.6'E 0.962 - 185 km 02m08.2s
03:1625°58.3'S038°59.8'E - - 24°49.8'S034°54.8'E 0.963 114° 181 km 02m07.7s
03:1828°16.6'S043°14.0'E27°26.9'S038°18.5'E27°58.1'S041°02.0'E 0.965 11° 111° 172 km 02m06.9s
03:2029°58.6'S046°11.0'E29°41.2'S042°30.5'E29°52.2'S044°27.2'E 0.966 15° 109° 167 km 02m06.4s
03:2231°24.2'S048°34.2'E31°21.2'S045°27.7'E31°24.0'S047°04.8'E 0.967 18° 107° 163 km 02m06.0s
03:2432°39.9'S050°37.3'E32°45.5'S047°51.5'E32°43.5'S049°17.1'E 0.968 20° 106° 159 km 02m05.7s
03:2633°48.6'S052°26.9'E34°00.1'S049°55.5'E33°54.9'S051°13.3'E 0.968 22° 104° 156 km 02m05.5s
03:2834°52.1'S054°06.8'E35°07.9'S051°46.1'E35°00.4'S052°58.2'E 0.969 25° 103° 153 km 02m05.3s
03:3035°51.5'S055°39.3'E36°10.7'S053°27.0'E36°01.4'S054°34.6'E 0.969 26° 101° 150 km 02m05.1s
03:3236°47.5'S057°06.0'E37°09.5'S055°00.5'E36°58.7'S056°04.6'E 0.970 28° 100° 148 km 02m05.0s
03:3437°40.7'S058°28.1'E38°04.9'S056°28.4'E37°53.0'S057°29.4'E 0.970 30° 98° 145 km 02m04.8s
03:3638°31.5'S059°46.4'E38°57.7'S057°51.6'E38°44.7'S058°50.1'E 0.970 31° 97° 143 km 02m04.7s
03:3839°20.2'S061°01.7'E39°48.1'S059°11.1'E39°34.2'S060°07.4'E 0.971 33° 95° 140 km 02m04.6s
03:4040°06.9'S062°14.4'E40°36.3'S060°27.6'E40°21.7'S061°21.9'E 0.971 34° 93° 138 km 02m04.5s
03:4240°52.0'S063°24.9'E41°22.8'S061°41.5'E41°07.5'S062°34.0'E 0.971 36° 92° 136 km 02m04.5s
03:4441°35.6'S064°33.6'E42°07.6'S062°53.3'E41°51.6'S063°44.3'E 0.971 37° 90° 134 km 02m04.4s
03:4642°17.7'S065°40.9'E42°50.9'S064°03.4'E42°34.3'S064°52.9'E 0.972 38° 89° 133 km 02m04.4s
03:4842°58.6'S066°47.0'E43°32.8'S065°12.0'E43°15.7'S066°00.2'E 0.972 39° 87° 131 km 02m04.3s
03:5043°38.2'S067°52.0'E44°13.5'S066°19.4'E43°55.8'S067°06.4'E 0.972 40° 85° 129 km 02m04.3s
03:5244°16.7'S068°56.2'E44°52.9'S067°25.9'E44°34.8'S068°11.7'E 0.972 41° 83° 128 km 02m04.3s
03:5444°54.2'S069°59.8'E45°31.3'S068°31.6'E45°12.7'S069°16.3'E 0.973 42° 82° 126 km 02m04.3s
03:5645°30.6'S071°02.9'E46°08.6'S069°36.7'E45°49.6'S070°20.4'E 0.973 43° 80° 125 km 02m04.3s
03:5846°06.1'S072°05.6'E46°44.9'S070°41.4'E46°25.4'S071°24.1'E 0.973 44° 78° 124 km 02m04.3s
04:0046°40.6'S073°08.1'E47°20.2'S071°45.7'E47°00.4'S072°27.5'E 0.973 45° 76° 122 km 02m04.3s
04:0247°14.2'S074°10.4'E47°54.6'S072°49.9'E47°34.4'S073°30.8'E 0.973 46° 74° 121 km 02m04.3s
04:0447°47.0'S075°12.8'E48°28.2'S073°54.0'E48°07.6'S074°34.0'E 0.973 47° 72° 120 km 02m04.4s
04:0648°19.0'S076°15.2'E49°00.9'S074°58.2'E48°39.9'S075°37.3'E 0.974 48° 70° 119 km 02m04.4s
04:0848°50.1'S077°17.7'E49°32.8'S076°02.5'E49°11.4'S076°40.7'E 0.974 48° 68° 118 km 02m04.5s
04:1049°20.4'S078°20.6'E50°03.8'S077°07.1'E49°42.1'S077°44.3'E 0.974 49° 65° 117 km 02m04.5s
04:1249°50.0'S079°23.7'E50°34.1'S078°11.9'E50°12.0'S078°48.3'E 0.974 50° 63° 116 km 02m04.6s
04:1450°18.8'S080°27.2'E51°03.6'S079°17.2'E50°41.1'S079°52.7'E 0.974 51° 61° 115 km 02m04.6s
04:1650°46.8'S081°31.2'E51°32.3'S080°22.9'E51°09.4'S080°57.6'E 0.974 51° 59° 115 km 02m04.7s
04:1851°14.0'S082°35.7'E52°00.2'S081°29.2'E51°37.0'S082°03.0'E 0.974 52° 56° 114 km 02m04.8s
04:2051°40.5'S083°40.8'E52°27.4'S082°36.1'E52°03.9'S083°08.9'E 0.974 52° 54° 113 km 02m04.8s
04:2252°06.3'S084°46.5'E52°53.8'S083°43.7'E52°30.0'S084°15.6'E 0.974 53° 51° 113 km 02m04.9s
04:2452°31.3'S085°52.9'E53°19.5'S084°52.0'E52°55.3'S085°22.9'E 0.975 53° 49° 112 km 02m05.0s
04:2652°55.5'S087°00.1'E53°44.4'S086°01.1'E53°19.9'S086°31.1'E 0.975 54° 46° 111 km 02m05.1s
04:2853°19.0'S088°08.1'E54°08.6'S087°11.1'E53°43.7'S087°40.0'E 0.975 54° 43° 111 km 02m05.2s
04:3053°41.8'S089°16.8'E54°31.9'S088°21.9'E54°06.7'S088°49.8'E 0.975 55° 41° 110 km 02m05.3s
04:3254°03.7'S090°26.5'E54°54.6'S089°33.7'E54°29.0'S090°00.5'E 0.975 55° 38° 110 km 02m05.4s
04:3454°24.9'S091°37.1'E55°16.4'S090°46.5'E54°50.5'S091°12.2'E 0.975 55° 35° 110 km 02m05.5s
04:3654°45.3'S092°48.6'E55°37.4'S092°00.3'E55°11.3'S092°24.8'E 0.975 55° 32° 109 km 02m05.6s
04:3855°05.0'S094°01.1'E55°57.7'S093°15.2'E55°31.2'S093°38.5'E 0.975 56° 29° 109 km 02m05.7s
04:4055°23.8'S095°14.6'E56°17.1'S094°31.2'E55°50.3'S094°53.3'E 0.975 56° 26° 109 km 02m05.8s
04:4255°41.8'S096°29.2'E56°35.7'S095°48.3'E56°08.6'S096°09.1'E 0.975 56° 23° 109 km 02m05.9s
04:4455°58.9'S097°44.8'E56°53.4'S097°06.5'E56°26.0'S097°26.0'E 0.975 56° 20° 109 km 02m06.0s
04:4656°15.3'S099°01.5'E57°10.3'S098°26.0'E56°42.7'S098°44.0'E 0.975 56° 17° 108 km 02m06.1s
04:4856°30.7'S100°19.3'E57°26.4'S099°46.6'E56°58.4'S100°03.2'E 0.975 56° 14° 108 km 02m06.2s
04:5056°45.3'S101°38.2'E57°41.5'S101°08.5'E57°13.3'S101°23.6'E 0.975 56° 11° 108 km 02m06.4s
04:5256°59.0'S102°58.3'E57°55.7'S102°31.6'E57°27.2'S102°45.1'E 0.975 56° 108 km 02m06.5s
04:5457°11.8'S104°19.4'E58°09.0'S103°55.9'E57°40.3'S104°07.8'E 0.975 56° 108 km 02m06.6s
04:5657°23.7'S105°41.7'E58°21.3'S105°21.5'E57°52.3'S105°31.7'E 0.975 56° 109 km 02m06.7s
04:5857°34.6'S107°05.1'E58°32.7'S106°48.3'E58°03.5'S106°56.8'E 0.975 56° 359° 109 km 02m06.8s
05:0057°44.6'S108°29.6'E58°43.0'S108°16.3'E58°13.6'S108°23.0'E 0.975 55° 356° 109 km 02m06.9s
05:0257°53.5'S109°55.2'E58°52.4'S109°45.6'E58°22.8'S109°50.5'E 0.975 55° 353° 109 km 02m07.1s
05:0458°01.5'S111°22.0'E59°00.7'S111°16.1'E58°30.9'S111°19.0'E 0.974 55° 350° 109 km 02m07.2s
05:0658°08.4'S112°49.8'E59°07.9'S112°47.7'E58°38.0'S112°48.7'E 0.974 55° 346° 110 km 02m07.3s
05:0858°14.2'S114°18.7'E59°14.0'S114°20.6'E58°43.9'S114°19.6'E 0.974 54° 343° 110 km 02m07.4s
05:1058°19.0'S115°48.6'E59°19.1'S115°54.6'E58°48.8'S115°51.5'E 0.974 54° 340° 111 km 02m07.5s
05:1258°22.7'S117°19.5'E59°22.9'S117°29.7'E58°52.6'S117°24.5'E 0.974 53° 337° 111 km 02m07.7s
05:1458°25.2'S118°51.5'E59°25.6'S119°05.9'E58°55.2'S118°58.5'E 0.974 53° 334° 112 km 02m07.8s
05:1658°26.6'S120°24.4'E59°27.1'S120°43.2'E58°56.7'S120°33.6'E 0.974 52° 331° 112 km 02m07.9s
05:1858°26.8'S121°58.3'E59°27.4'S122°21.5'E58°56.9'S122°09.6'E 0.974 52° 328° 113 km 02m08.0s
05:2058°25.8'S123°33.0'E59°26.4'S124°00.8'E58°55.9'S123°46.6'E 0.974 51° 325° 113 km 02m08.1s
05:2258°23.5'S125°08.7'E59°24.1'S125°41.1'E58°53.6'S125°24.5'E 0.974 51° 322° 114 km 02m08.2s
05:2458°20.0'S126°45.2'E59°20.5'S127°22.3'E58°50.1'S127°03.3'E 0.973 50° 319° 115 km 02m08.4s
05:2658°15.2'S128°22.5'E59°15.5'S129°04.4'E58°45.2'S128°42.9'E 0.973 49° 316° 116 km 02m08.5s
05:2858°09.1'S130°00.6'E59°09.2'S130°47.4'E58°39.0'S130°23.4'E 0.973 48° 314° 117 km 02m08.6s
05:3058°01.6'S131°39.6'E59°01.4'S132°31.2'E58°31.4'S132°04.8'E 0.973 48° 311° 117 km 02m08.7s
05:3257°52.8'S133°19.3'E58°52.2'S134°15.9'E58°22.4'S133°46.9'E 0.973 47° 308° 118 km 02m08.8s
05:3457°42.5'S134°59.7'E58°41.5'S136°01.4'E58°11.9'S135°29.8'E 0.973 46° 305° 120 km 02m08.9s
05:3657°30.7'S136°41.0'E58°29.2'S137°47.7'E57°59.9'S137°13.5'E 0.973 45° 302° 121 km 02m09.0s
05:3857°17.5'S138°23.0'E58°15.4'S139°34.8'E57°46.3'S138°58.0'E 0.972 44° 300° 122 km 02m09.1s
05:4057°02.7'S140°05.8'E57°59.9'S141°22.8'E57°31.2'S140°43.4'E 0.972 43° 297° 123 km 02m09.3s
05:4256°46.2'S141°49.4'E57°42.7'S143°11.7'E57°14.4'S142°29.6'E 0.972 42° 294° 124 km 02m09.4s
05:4456°28.1'S143°34.0'E57°23.7'S145°01.6'E56°55.9'S144°16.7'E 0.972 41° 292° 126 km 02m09.5s
05:4656°08.3'S145°19.4'E57°02.9'S146°52.5'E56°35.6'S146°04.9'E 0.971 40° 289° 127 km 02m09.6s
05:4855°46.7'S147°06.0'E56°40.2'S148°44.6'E56°13.4'S147°54.1'E 0.971 39° 287° 129 km 02m09.7s
05:5055°23.1'S148°53.7'E56°15.4'S150°38.0'E55°49.2'S149°44.6'E 0.971 38° 284° 131 km 02m09.8s
05:5254°57.6'S150°42.7'E55°48.5'S152°32.9'E55°23.0'S151°36.5'E 0.971 37° 282° 132 km 02m09.9s
05:5454°29.9'S152°33.2'E55°19.3'S154°29.5'E54°54.6'S153°29.9'E 0.970 36° 279° 134 km 02m10.0s
05:5654°00.0'S154°25.5'E54°47.6'S156°28.1'E54°23.9'S155°25.3'E 0.970 34° 277° 136 km 02m10.2s
05:5853°27.6'S156°19.9'E54°13.2'S158°29.2'E53°50.5'S157°23.0'E 0.970 33° 274° 139 km 02m10.3s
06:0052°52.6'S158°16.8'E53°35.9'S160°33.3'E53°14.4'S159°23.3'E 0.969 31° 272° 141 km 02m10.4s
06:0252°14.7'S160°16.6'E52°55.3'S162°40.9'E52°35.2'S161°26.9'E 0.969 30° 269° 143 km 02m10.5s
06:0451°33.5'S162°20.1'E52°11.0'S164°53.1'E51°52.5'S163°34.5'E 0.969 28° 267° 146 km 02m10.7s
06:0650°48.5'S164°28.0'E51°22.4'S167°10.9'E51°05.9'S165°47.1'E 0.968 27° 264° 149 km 02m10.8s
06:0849°59.3'S166°41.6'E50°28.6'S169°36.0'E50°14.5'S168°06.2'E 0.968 25° 262° 152 km 02m10.9s
06:1049°04.9'S169°02.6'E49°28.6'S172°10.9'E49°17.5'S170°33.7'E 0.967 23° 259° 155 km 02m11.1s
06:1248°04.2'S171°33.3'E48°20.2'S174°59.6'E48°13.3'S173°12.6'E 0.966 20° 257° 159 km 02m11.2s
06:1446°55.3'S174°17.6'E47°00.3'S178°08.8'E46°59.5'S176°08.2'E 0.966 18° 254° 164 km 02m11.4s
06:1645°34.7'S177°22.4'E45°22.2'S178°07.2'W45°31.4'S179°29.7'E 0.965 15° 251° 169 km 02m11.6s
06:1843°55.7'S178°58.5'W43°05.9'S173°06.4'W43°38.2'S176°20.2'W 0.964 11° 248° 175 km 02m11.9s
06:2041°38.4'S174°03.7'W - - 40°31.6'S169°39.5'W 0.962 243° 184 km 02m12.3s
Limits37°22.0'S165°03.7'W38°40.7'S163°34.5'W38°01.3'S164°19.6'W 0.961 - 192 km 02m12.6s

ΔT = 26195.3 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse12:04:43.004:48:07.756°59.4'S009°18.4'W 56.1° 14.2° 108.4 km02m06.24s
Greatest Duration13:16:32.705:59:57.338°01.3'S195°40.4'E 31.5° 271.9° 140.8 km02m10.40s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Annular Solar Eclipse of -1051 Dec 24

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 -1051 Dec 24 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 26195.3 seconds for this eclipse. The uncertainty in ΔT is 723.5 seconds corresponding to a standard error in longitude of the eclipse path of ± 3.02°.

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.