Path of the Hybrid Solar Eclipse of 1731 Dec 29

Fred Espenak

Introduction

The following table delineates the path of the Moon's umbral shadow during the Hybrid Solar Eclipse of 1731 Dec 29 . 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 .

Hybrid Solar Eclipse of 1731 Dec 29
UT1 Northern Limit Southern Limit Central Line M:S Sun Sun Path Central
Latitude Longitude Latitude Longitude Latitude Longitude Ratio Alt. Azm. Width Duration
Limits34°31.8'N114°29.1'E34°17.8'N114°24.5'E34°24.8'N114°26.8'E 0.994 - 26 km 00m23.6s
23:3431°49.9'N120°24.3'E31°21.2'N121°04.6'E31°34.9'N120°45.7'E 0.996 122° 18 km 00m17.0s
23:3629°38.2'N125°21.9'E29°25.9'N125°34.6'E29°32.0'N125°28.4'E 0.997 11° 125° 11 km 00m11.3s
23:3828°18.6'N128°28.8'E28°12.0'N128°34.4'E28°15.3'N128°31.6'E 0.998 14° 127° 7 km 00m07.3s
23:4027°18.8'N130°54.4'E27°15.7'N130°56.7'E27°17.3'N130°55.6'E 0.999 17° 128° 4 km 00m03.8s
23:4226°30.6'N132°56.8'E26°30.0'N132°57.2'E26°30.3'N132°57.0'E 1.000 19° 130° 1 km 00m00.8s
23:4425°50.2'N134°43.7'E25°51.6'N134°42.9'E25°50.9'N134°43.3'E 1.000 21° 131° 2 km 00m02.0s
23:4625°15.6'N136°19.5'E25°18.6'N136°17.9'E25°17.1'N136°18.7'E 1.001 23° 132° 4 km 00m04.5s
23:4824°45.5'N137°46.8'E24°49.9'N137°44.6'E24°47.7'N137°45.7'E 1.001 25° 134° 6 km 00m06.9s
23:5024°19.1'N139°07.4'E24°24.7'N139°04.7'E24°21.9'N139°06.1'E 1.002 26° 135° 8 km 00m09.2s
23:5223°55.8'N140°22.6'E24°02.5'N140°19.5'E23°59.2'N140°21.0'E 1.002 27° 136° 10 km 00m11.3s
23:5423°35.2'N141°33.1'E23°42.9'N141°29.8'E23°39.0'N141°31.5'E 1.003 29° 137° 12 km 00m13.3s
23:5623°16.9'N142°39.8'E23°25.4'N142°36.3'E23°21.2'N142°38.1'E 1.003 30° 138° 14 km 00m15.3s
23:5823°00.6'N143°43.2'E23°10.0'N143°39.6'E23°05.3'N143°41.4'E 1.003 31° 139° 15 km 00m17.1s
00:0022°46.2'N144°43.7'E22°56.4'N144°40.0'E22°51.3'N144°41.9'E 1.003 32° 141° 17 km 00m18.9s
00:0222°33.5'N145°41.7'E22°44.3'N145°37.9'E22°39.0'N145°39.8'E 1.004 33° 142° 18 km 00m20.5s
00:0422°22.4'N146°37.5'E22°33.8'N146°33.6'E22°28.1'N146°35.6'E 1.004 34° 143° 19 km 00m22.1s
00:0622°12.7'N147°31.3'E22°24.7'N147°27.4'E22°18.7'N147°29.4'E 1.004 35° 144° 21 km 00m23.6s
00:0822°04.3'N148°23.4'E22°16.8'N148°19.4'E22°10.6'N148°21.4'E 1.004 36° 145° 22 km 00m25.1s
00:1021°57.1'N149°13.9'E22°10.2'N149°09.9'E22°03.7'N149°11.9'E 1.005 37° 146° 23 km 00m26.4s
00:1221°51.2'N150°03.0'E22°04.7'N149°58.9'E21°58.0'N150°01.0'E 1.005 37° 148° 24 km 00m27.7s
00:1421°46.3'N150°50.9'E22°00.3'N150°46.7'E21°53.3'N150°48.8'E 1.005 38° 149° 25 km 00m28.9s
00:1621°42.5'N151°37.6'E21°56.9'N151°33.4'E21°49.7'N151°35.5'E 1.005 39° 150° 26 km 00m30.1s
00:1821°39.8'N152°23.2'E21°54.5'N152°19.1'E21°47.1'N152°21.1'E 1.005 39° 151° 27 km 00m31.2s
00:2021°38.0'N153°07.9'E21°53.0'N153°03.8'E21°45.5'N153°05.9'E 1.005 40° 153° 28 km 00m32.2s
00:2221°37.1'N153°51.8'E21°52.5'N153°47.7'E21°44.8'N153°49.8'E 1.006 40° 154° 28 km 00m33.1s
00:2421°37.1'N154°35.0'E21°52.8'N154°30.8'E21°45.0'N154°32.9'E 1.006 41° 155° 29 km 00m34.0s
00:2621°38.1'N155°17.4'E21°54.0'N155°13.3'E21°46.1'N155°15.4'E 1.006 41° 157° 30 km 00m34.8s
00:2821°39.9'N155°59.3'E21°56.0'N155°55.1'E21°48.0'N155°57.2'E 1.006 42° 158° 30 km 00m35.6s
00:3021°42.5'N156°40.6'E21°58.9'N156°36.5'E21°50.7'N156°38.5'E 1.006 42° 160° 31 km 00m36.2s
00:3221°46.0'N157°21.4'E22°02.5'N157°17.3'E21°54.3'N157°19.4'E 1.006 42° 161° 31 km 00m36.8s
00:3421°50.3'N158°01.8'E22°07.0'N157°57.8'E21°58.6'N157°59.8'E 1.006 43° 162° 31 km 00m37.4s
00:3621°55.3'N158°41.9'E22°12.2'N158°37.8'E22°03.8'N158°39.8'E 1.006 43° 164° 32 km 00m37.8s
00:3822°01.2'N159°21.6'E22°18.2'N159°17.6'E22°09.7'N159°19.6'E 1.006 43° 165° 32 km 00m38.2s
00:4022°07.8'N160°01.1'E22°24.9'N159°57.1'E22°16.4'N159°59.1'E 1.006 43° 167° 32 km 00m38.6s
00:4222°15.3'N160°40.3'E22°32.4'N160°36.4'E22°23.9'N160°38.4'E 1.006 43° 168° 32 km 00m38.8s
00:4422°23.5'N161°19.4'E22°40.7'N161°15.6'E22°32.1'N161°17.5'E 1.006 43° 170° 32 km 00m39.0s
00:4622°32.4'N161°58.4'E22°49.7'N161°54.6'E22°41.1'N161°56.5'E 1.006 44° 171° 32 km 00m39.1s
00:4822°42.2'N162°37.4'E22°59.5'N162°33.6'E22°50.9'N162°35.5'E 1.006 43° 172° 32 km 00m39.2s
00:5022°52.7'N163°16.3'E23°10.0'N163°12.6'E23°01.4'N163°14.4'E 1.006 43° 174° 32 km 00m39.1s
00:5223°04.0'N163°55.2'E23°21.3'N163°51.6'E23°12.7'N163°53.4'E 1.006 43° 175° 32 km 00m39.1s
00:5423°16.2'N164°34.3'E23°33.4'N164°30.7'E23°24.8'N164°32.5'E 1.006 43° 177° 32 km 00m38.9s
00:5623°29.1'N165°13.4'E23°46.2'N165°10.0'E23°37.7'N165°11.7'E 1.006 43° 178° 32 km 00m38.7s
00:5823°42.8'N165°52.8'E23°59.9'N165°49.4'E23°51.4'N165°51.1'E 1.006 43° 180° 31 km 00m38.4s
01:0023°57.3'N166°32.4'E24°14.3'N166°29.1'E24°05.9'N166°30.7'E 1.006 43° 181° 31 km 00m38.0s
01:0224°12.7'N167°12.3'E24°29.6'N167°09.1'E24°21.2'N167°10.7'E 1.006 42° 183° 31 km 00m37.6s
01:0424°28.9'N167°52.5'E24°45.7'N167°49.5'E24°37.4'N167°51.0'E 1.006 42° 184° 30 km 00m37.1s
01:0624°46.1'N168°33.2'E25°02.7'N168°30.3'E24°54.4'N168°31.7'E 1.006 42° 185° 30 km 00m36.5s
01:0825°04.1'N169°14.3'E25°20.5'N169°11.5'E25°12.3'N169°12.9'E 1.006 41° 187° 29 km 00m35.9s
01:1025°23.1'N169°56.0'E25°39.3'N169°53.4'E25°31.2'N169°54.7'E 1.006 41° 188° 29 km 00m35.2s
01:1225°43.0'N170°38.3'E25°59.0'N170°35.9'E25°51.0'N170°37.1'E 1.006 40° 190° 28 km 00m34.4s
01:1426°03.9'N171°21.4'E26°19.7'N171°19.1'E26°11.9'N171°20.2'E 1.006 40° 191° 27 km 00m33.6s
01:1626°25.9'N172°05.2'E26°41.4'N172°03.1'E26°33.7'N172°04.1'E 1.006 39° 192° 27 km 00m32.7s
01:1826°49.0'N172°50.0'E27°04.2'N172°48.0'E26°56.6'N172°49.0'E 1.006 38° 194° 26 km 00m31.7s
01:2027°13.2'N173°35.7'E27°28.1'N173°34.0'E27°20.7'N173°34.8'E 1.005 38° 195° 25 km 00m30.7s
01:2227°38.7'N174°22.6'E27°53.2'N174°21.0'E27°46.0'N174°21.8'E 1.005 37° 197° 24 km 00m29.5s
01:2428°05.4'N175°10.8'E28°19.6'N175°09.4'E28°12.5'N175°10.1'E 1.005 36° 198° 23 km 00m28.4s
01:2628°33.5'N176°00.4'E28°47.3'N175°59.2'E28°40.4'N175°59.8'E 1.005 36° 199° 22 km 00m27.1s
01:2829°03.0'N176°51.6'E29°16.4'N176°50.7'E29°09.7'N176°51.1'E 1.005 35° 201° 21 km 00m25.8s
01:3029°34.2'N177°44.6'E29°47.0'N177°43.9'E29°40.6'N177°44.3'E 1.004 34° 202° 20 km 00m24.4s
01:3230°07.0'N178°39.7'E30°19.3'N178°39.3'E30°13.2'N178°39.5'E 1.004 33° 203° 19 km 00m22.9s
01:3430°41.7'N179°37.1'E30°53.5'N179°37.0'E30°47.6'N179°37.0'E 1.004 32° 204° 18 km 00m21.3s
01:3631°18.5'N179°22.8'W31°29.6'N179°22.7'W31°24.1'N179°22.7'W 1.004 31° 206° 17 km 00m19.7s
01:3831°57.5'N178°19.5'W32°08.0'N178°19.2'W32°02.8'N178°19.4'W 1.003 29° 207° 15 km 00m17.9s
01:4032°39.1'N177°12.7'W32°48.8'N177°12.1'W32°44.0'N177°12.4'W 1.003 28° 208° 14 km 00m16.1s
01:4233°23.7'N176°01.6'W33°32.5'N176°00.7'W33°28.1'N176°01.1'W 1.003 27° 210° 12 km 00m14.1s
01:4434°11.6'N174°45.3'W34°19.4'N174°44.2'W34°15.5'N174°44.8'W 1.002 25° 211° 11 km 00m12.1s
01:4635°03.6'N173°22.8'W35°10.3'N173°21.6'W35°06.9'N173°22.2'W 1.002 24° 213° 9 km 00m09.9s
01:4836°00.3'N171°52.5'W36°05.7'N171°51.3'W36°03.0'N171°51.9'W 1.002 22° 214° 7 km 00m07.5s
01:5037°03.2'N170°12.2'W37°07.0'N170°11.1'W37°05.1'N170°11.7'W 1.001 20° 216° 5 km 00m04.9s
01:5238°13.9'N168°18.5'W38°15.7'N168°17.8'W38°14.8'N168°18.1'W 1.000 18° 218° 2 km 00m02.2s
01:5439°35.6'N166°05.4'W39°34.8'N166°05.8'W39°35.2'N166°05.6'W 1.000 16° 220° 1 km 00m01.0s
01:5641°14.4'N163°21.4'W41°09.6'N163°24.5'W41°12.0'N163°23.0'W 0.999 13° 222° 4 km 00m04.5s
01:5843°25.8'N159°36.9'W43°13.3'N159°48.0'W43°19.4'N159°42.6'W 0.998 10° 225° 9 km 00m09.0s
02:0048°20.6'N150°34.9'W46°55.8'N152°54.9'W47°26.6'N152°06.9'W 0.996 231° 18 km 00m17.0s
Limits49°03.4'N149°11.0'W48°52.6'N149°02.6'W48°58.0'N149°06.8'W 0.995 - 22 km 00m19.7s

ΔT = 10.6 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse00:46:52.200:46:41.622°44.4'N162°07.4'E 43.5° 171.5° 32.4 km00m39.14s
Greatest Duration00:48:36.100:48:25.522°53.1'N162°43.8'E 43.5° 172.7° 32.4 km00m39.17s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Hybrid Solar Eclipse of 1731 Dec 29

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 Hybrid Solar Eclipse of 1731 Dec 29 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 10.6 seconds for this eclipse. The uncertainty in ΔT is 3.7 seconds corresponding to a standard error in longitude of the eclipse path of ± 0.02°.

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.