Path of the Hybrid Solar Eclipse of 1786 Jan 30

Fred Espenak

Introduction

The following table delineates the path of the Moon's umbral shadow during the Hybrid Solar Eclipse of 1786 Jan 30 . 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 1786 Jan 30
UT1 Northern Limit Southern Limit Central Line M:S Sun Sun Path Central
Latitude Longitude Latitude Longitude Latitude Longitude Ratio Alt. Azm. Width Duration
Limits23°25.3'N078°50.1'E22°55.8'N078°48.3'E23°10.5'N078°49.2'E 0.989 - 52 km 00m45.4s
01:30 - - 21°34.4'N083°19.2'E22°15.5'N081°45.2'E 0.989 110° 49 km 00m43.0s
01:3220°46.8'N087°46.2'E20°09.9'N088°45.0'E20°27.7'N088°17.0'E 0.991 10° 113° 40 km 00m37.0s
01:3419°55.7'N091°21.5'E19°28.3'N091°58.1'E19°41.7'N091°40.3'E 0.992 13° 115° 36 km 00m33.4s
01:3619°23.8'N094°00.2'E19°01.5'N094°26.8'E19°12.5'N094°13.8'E 0.993 16° 116° 32 km 00m30.5s
01:3819°01.8'N096°10.3'E18°42.9'N096°31.0'E18°52.3'N096°20.8'E 0.994 18° 117° 29 km 00m28.0s
01:4018°46.3'N098°02.3'E18°29.9'N098°19.1'E18°38.0'N098°10.8'E 0.995 21° 118° 26 km 00m25.8s
01:4218°35.4'N099°41.7'E18°21.1'N099°55.6'E18°28.2'N099°48.7'E 0.995 22° 119° 24 km 00m23.7s
01:4418°28.1'N101°11.5'E18°15.5'N101°23.2'E18°21.7'N101°17.4'E 0.996 24° 120° 22 km 00m21.7s
01:4618°23.6'N102°33.9'E18°12.5'N102°43.9'E18°18.0'N102°38.9'E 0.996 26° 121° 20 km 00m19.9s
01:4818°21.5'N103°50.3'E18°11.7'N103°58.8'E18°16.6'N103°54.5'E 0.996 27° 122° 18 km 00m18.1s
01:5018°21.5'N105°01.6'E18°12.8'N105°08.9'E18°17.1'N105°05.3'E 0.997 28° 123° 16 km 00m16.5s
01:5218°23.3'N106°08.7'E18°15.6'N106°14.9'E18°19.4'N106°11.8'E 0.997 30° 124° 15 km 00m14.9s
01:5418°26.6'N107°12.1'E18°19.8'N107°17.5'E18°23.2'N107°14.8'E 0.997 31° 125° 13 km 00m13.4s
01:5618°31.4'N108°12.4'E18°25.4'N108°17.0'E18°28.4'N108°14.7'E 0.998 32° 126° 12 km 00m12.0s
01:5818°37.4'N109°09.9'E18°32.2'N109°13.9'E18°34.8'N109°11.9'E 0.998 33° 127° 10 km 00m10.7s
02:0018°44.6'N110°04.9'E18°40.2'N110°08.3'E18°42.4'N110°06.6'E 0.998 34° 128° 9 km 00m09.4s
02:0218°53.0'N110°57.8'E18°49.2'N111°00.7'E18°51.1'N110°59.3'E 0.998 35° 129° 8 km 00m08.2s
02:0419°02.4'N111°48.8'E18°59.1'N111°51.1'E19°00.7'N111°49.9'E 0.999 36° 130° 7 km 00m07.0s
02:0619°12.7'N112°37.9'E19°10.0'N112°39.9'E19°11.3'N112°38.9'E 0.999 37° 131° 6 km 00m05.9s
02:0819°23.9'N113°25.5'E19°21.8'N113°27.1'E19°22.8'N113°26.3'E 0.999 37° 132° 5 km 00m04.8s
02:1019°36.0'N114°11.7'E19°34.3'N114°12.9'E19°35.2'N114°12.3'E 0.999 38° 134° 4 km 00m03.8s
02:1219°49.0'N114°56.5'E19°47.7'N114°57.4'E19°48.3'N114°57.0'E 0.999 39° 135° 3 km 00m02.9s
02:1420°02.7'N115°40.2'E20°01.9'N115°40.8'E20°02.3'N115°40.5'E 1.000 39° 136° 2 km 00m02.0s
02:1620°17.2'N116°22.8'E20°16.7'N116°23.1'E20°17.0'N116°23.0'E 1.000 40° 137° 1 km 00m01.1s
02:1820°32.5'N117°04.4'E20°32.3'N117°04.5'E20°32.4'N117°04.5'E 1.000 41° 138° 0 km 00m00.3s
02:2020°48.4'N117°45.2'E20°48.6'N117°45.0'E20°48.5'N117°45.1'E 1.000 41° 140° 0 km 00m00.4s
02:2221°05.1'N118°25.1'E21°05.5'N118°24.8'E21°05.3'N118°24.9'E 1.000 42° 141° 1 km 00m01.1s
02:2421°22.4'N119°04.3'E21°23.2'N119°03.8'E21°22.8'N119°04.0'E 1.000 42° 142° 2 km 00m01.7s
02:2621°40.5'N119°42.8'E21°41.4'N119°42.1'E21°41.0'N119°42.5'E 1.000 42° 144° 2 km 00m02.3s
02:2821°59.2'N120°20.7'E22°00.3'N120°19.9'E21°59.8'N120°20.3'E 1.000 43° 145° 3 km 00m02.8s
02:3022°18.5'N120°58.1'E22°19.9'N120°57.2'E22°19.2'N120°57.6'E 1.001 43° 147° 3 km 00m03.3s
02:3222°38.5'N121°35.0'E22°40.1'N121°34.0'E22°39.3'N121°34.5'E 1.001 43° 148° 3 km 00m03.7s
02:3422°59.2'N122°11.5'E23°00.9'N122°10.4'E23°00.0'N122°10.9'E 1.001 44° 149° 4 km 00m04.1s
02:3623°20.5'N122°47.6'E23°22.3'N122°46.4'E23°21.4'N122°47.0'E 1.001 44° 151° 4 km 00m04.5s
02:3823°42.4'N123°23.4'E23°44.4'N123°22.2'E23°43.4'N123°22.8'E 1.001 44° 152° 4 km 00m04.7s
02:4024°05.0'N123°59.0'E24°07.0'N123°57.7'E24°06.0'N123°58.3'E 1.001 44° 154° 4 km 00m05.0s
02:4224°28.3'N124°34.3'E24°30.4'N124°33.0'E24°29.3'N124°33.6'E 1.001 44° 155° 4 km 00m05.1s
02:4424°52.2'N125°09.5'E24°54.3'N125°08.1'E24°53.2'N125°08.8'E 1.001 44° 157° 5 km 00m05.3s
02:4625°16.7'N125°44.5'E25°18.9'N125°43.1'E25°17.8'N125°43.8'E 1.001 44° 158° 5 km 00m05.3s
02:4825°41.9'N126°19.5'E25°44.1'N126°18.1'E25°43.0'N126°18.8'E 1.001 44° 160° 5 km 00m05.4s
02:5026°07.8'N126°54.5'E26°10.0'N126°53.1'E26°08.9'N126°53.8'E 1.001 44° 161° 5 km 00m05.3s
02:5226°34.4'N127°29.5'E26°36.6'N127°28.2'E26°35.5'N127°28.8'E 1.001 44° 163° 4 km 00m05.3s
02:5427°01.7'N128°04.6'E27°03.8'N128°03.3'E27°02.7'N128°04.0'E 1.001 44° 164° 4 km 00m05.1s
02:5627°29.7'N128°39.8'E27°31.7'N128°38.6'E27°30.7'N128°39.2'E 1.001 44° 166° 4 km 00m05.0s
02:5827°58.4'N129°15.3'E28°00.4'N129°14.1'E27°59.4'N129°14.7'E 1.001 43° 167° 4 km 00m04.8s
03:0028°27.9'N129°51.0'E28°29.7'N129°49.9'E28°28.8'N129°50.5'E 1.001 43° 169° 4 km 00m04.5s
03:0228°58.1'N130°27.0'E28°59.9'N130°26.0'E28°59.0'N130°26.5'E 1.001 43° 170° 3 km 00m04.2s
03:0429°29.2'N131°03.4'E29°30.8'N131°02.5'E29°30.0'N131°03.0'E 1.001 42° 172° 3 km 00m03.8s
03:0630°01.1'N131°40.3'E30°02.5'N131°39.5'E30°01.8'N131°39.9'E 1.001 42° 173° 3 km 00m03.4s
03:0830°33.8'N132°17.7'E30°35.0'N132°17.0'E30°34.4'N132°17.3'E 1.001 42° 175° 2 km 00m02.9s
03:1031°07.4'N132°55.7'E31°08.4'N132°55.1'E31°07.9'N132°55.4'E 1.000 41° 176° 2 km 00m02.4s
03:1231°42.0'N133°34.3'E31°42.8'N133°33.9'E31°42.4'N133°34.1'E 1.000 41° 178° 1 km 00m01.8s
03:1432°17.5'N134°13.8'E32°18.0'N134°13.5'E32°17.8'N134°13.7'E 1.000 40° 179° 1 km 00m01.2s
03:1632°54.1'N134°54.2'E32°54.3'N134°54.0'E32°54.2'N134°54.1'E 1.000 39° 181° 0 km 00m00.5s
03:1833°31.7'N135°35.5'E33°31.6'N135°35.6'E33°31.7'N135°35.5'E 1.000 39° 182° 0 km 00m00.3s
03:2034°10.5'N136°18.0'E34°10.1'N136°18.2'E34°10.3'N136°18.1'E 1.000 38° 183° 1 km 00m01.1s
03:2234°50.6'N137°01.7'E34°49.7'N137°02.1'E34°50.1'N137°01.9'E 1.000 37° 185° 2 km 00m01.9s
03:2435°31.9'N137°46.9'E35°30.5'N137°47.5'E35°31.2'N137°47.2'E 0.999 37° 186° 2 km 00m02.8s
03:2636°14.6'N138°33.6'E36°12.8'N138°34.4'E36°13.7'N138°34.0'E 0.999 36° 188° 3 km 00m03.8s
03:2836°58.8'N139°22.2'E36°56.4'N139°23.2'E36°57.6'N139°22.7'E 0.999 35° 189° 4 km 00m04.8s
03:3037°44.7'N140°12.9'E37°41.7'N140°14.0'E37°43.2'N140°13.5'E 0.999 34° 191° 5 km 00m05.8s
03:3238°32.3'N141°05.9'E38°28.7'N141°07.2'E38°30.5'N141°06.6'E 0.999 33° 192° 6 km 00m07.0s
03:3439°21.9'N142°01.6'E39°17.5'N142°03.1'E39°19.7'N142°02.3'E 0.998 32° 194° 7 km 00m08.2s
03:3640°13.7'N143°00.4'E40°08.4'N143°02.0'E40°11.1'N143°01.2'E 0.998 31° 195° 8 km 00m09.5s
03:3841°07.9'N144°02.9'E41°01.7'N144°04.5'E41°04.8'N144°03.7'E 0.998 30° 197° 9 km 00m10.8s
03:4042°04.9'N145°09.5'E41°57.5'N145°11.1'E42°01.2'N145°10.3'E 0.998 28° 198° 11 km 00m12.3s
03:4243°05.0'N146°21.2'E42°56.4'N146°22.7'E43°00.7'N146°22.0'E 0.997 27° 200° 12 km 00m13.8s
03:4444°08.8'N147°39.0'E43°58.7'N147°40.3'E44°03.7'N147°39.7'E 0.997 26° 201° 14 km 00m15.4s
03:4645°17.0'N149°04.3'E45°05.0'N149°05.0'E45°10.9'N149°04.7'E 0.996 24° 203° 16 km 00m17.2s
03:4846°30.4'N150°39.0'E46°16.3'N150°38.9'E46°23.3'N150°38.9'E 0.996 22° 205° 18 km 00m19.0s
03:5047°50.5'N152°26.0'E47°33.7'N152°24.4'E47°42.0'N152°25.2'E 0.995 20° 207° 20 km 00m21.1s
03:5249°19.2'N154°29.7'E48°58.9'N154°25.6'E49°08.9'N154°27.6'E 0.995 18° 209° 22 km 00m23.3s
03:5451°00.2'N156°57.9'E50°34.9'N156°49.1'E50°47.4'N156°53.4'E 0.994 16° 212° 25 km 00m25.8s
03:5653°00.3'N160°06.0'E52°27.2'N159°47.8'E52°43.4'N159°56.6'E 0.993 13° 215° 29 km 00m28.7s
03:5855°37.3'N164°35.7'E54°48.4'N163°52.5'E55°11.9'N164°12.7'E 0.992 10° 219° 34 km 00m32.3s
04:00 - - 58°36.4'N171°28.4'E59°43.3'N173°24.7'E 0.990 227° 43 km 00m38.8s
Limits61°39.2'N177°23.7'E61°17.4'N177°52.7'E61°28.3'N177°38.3'E 0.990 - 48 km 00m41.2s

ΔT = 16.5 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse02:45:25.602:45:09.125°07.3'N125°24.8'E 44.3° 157.6° 4.5 km00m05.31s
Greatest Duration01:30:04.701:29:48.123°10.5'N078°49.2'E 0.0° 109.3° 52.2 km00m45.36s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Hybrid Solar Eclipse of 1786 Jan 30

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 1786 Jan 30 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 16.5 seconds for this eclipse. The uncertainty in ΔT is 1.6 seconds corresponding to a standard error in longitude of the eclipse path of ± 0.01°.

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.