Path of the Total Solar Eclipse of 1733 May 13

Fred Espenak

Introduction

The following table delineates the path of the Moon's umbral shadow during the Total Solar Eclipse of 1733 May 13 . 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 .

Total Solar Eclipse of 1733 May 13
UT1 Northern Limit Southern Limit Central Line M:S Sun Sun Path Central
Latitude Longitude Latitude Longitude Latitude Longitude Ratio Alt. Azm. Width Duration
Limits40°10.3'N171°07.0'W37°51.9'N168°51.1'W39°00.2'N169°57.3'W 1.054 - 313 km 02m34.9s
16:14 - - 42°47.9'N156°12.5'W41°55.1'N162°17.4'W 1.056 71° 329 km 02m48.2s
16:1643°08.8'N163°29.5'W44°22.8'N152°41.8'W44°03.6'N157°19.5'W 1.058 11° 75° 338 km 02m57.6s
16:1845°16.8'N158°40.2'W45°42.8'N149°52.1'W45°38.6'N153°54.0'W 1.058 14° 78° 343 km 03m04.3s
16:2046°52.8'N155°17.7'W46°53.9'N147°25.6'W46°59.3'N151°06.9'W 1.059 17° 81° 346 km 03m09.9s
16:2248°14.6'N152°32.4'W47°59.0'N145°14.1'W48°11.3'N148°42.0'W 1.060 19° 83° 349 km 03m14.8s
16:2449°27.9'N150°08.5'W48°59.7'N143°13.4'W49°17.5'N146°31.6'W 1.060 21° 85° 350 km 03m19.2s
16:2650°35.2'N147°58.8'W49°56.8'N141°20.5'W50°19.2'N144°31.4'W 1.061 22° 88° 351 km 03m23.2s
16:2851°38.2'N145°59.0'W50°51.2'N139°33.6'W51°17.5'N142°38.7'W 1.061 24° 90° 352 km 03m26.9s
16:3052°37.8'N144°06.4'W51°43.1'N137°51.2'W52°12.9'N140°51.8'W 1.062 25° 92° 353 km 03m30.3s
16:3253°34.5'N142°19.4'W52°33.0'N136°12.4'W53°06.0'N139°09.1'W 1.062 27° 94° 353 km 03m33.5s
16:3454°28.9'N140°36.4'W53°21.2'N134°36.4'W53°57.1'N137°29.9'W 1.063 28° 97° 353 km 03m36.4s
16:3655°21.3'N138°56.6'W54°07.7'N133°02.5'W54°46.4'N135°53.1'W 1.063 29° 99° 353 km 03m39.2s
16:3856°12.0'N137°19.0'W54°52.9'N131°30.1'W55°34.1'N134°18.2'W 1.063 30° 101° 352 km 03m41.8s
16:4057°01.0'N135°43.1'W55°36.7'N129°58.8'W56°20.5'N132°44.6'W 1.063 31° 103° 352 km 03m44.3s
16:4257°48.7'N134°08.3'W56°19.4'N128°28.3'W57°05.5'N131°11.9'W 1.064 32° 106° 351 km 03m46.6s
16:4458°35.1'N132°34.0'W57°00.9'N126°58.1'W57°49.4'N129°39.6'W 1.064 33° 108° 351 km 03m48.7s
16:4659°20.3'N131°00.0'W57°41.4'N125°27.9'W58°32.1'N128°07.4'W 1.064 33° 110° 350 km 03m50.7s
16:4860°04.4'N129°25.7'W58°21.0'N123°57.5'W59°13.8'N126°34.9'W 1.064 34° 113° 349 km 03m52.6s
16:5060°47.4'N127°50.7'W58°59.5'N122°26.5'W59°54.5'N125°01.9'W 1.065 35° 115° 349 km 03m54.3s
16:5261°29.5'N126°14.9'W59°37.2'N120°54.8'W60°34.3'N123°28.0'W 1.065 35° 118° 348 km 03m55.9s
16:5462°10.6'N124°37.8'W60°13.9'N119°22.0'W61°13.1'N121°52.9'W 1.065 36° 120° 347 km 03m57.4s
16:5662°50.7'N122°59.1'W60°49.8'N117°48.0'W61°51.1'N120°16.4'W 1.065 36° 123° 346 km 03m58.8s
16:5863°30.0'N121°18.5'W61°24.8'N116°12.5'W62°28.1'N118°38.3'W 1.065 37° 126° 346 km 04m00.0s
17:0064°08.3'N119°35.7'W61°59.0'N114°35.3'W63°04.3'N116°58.2'W 1.065 37° 129° 345 km 04m01.2s
17:0264°45.8'N117°50.4'W62°32.2'N112°56.2'W63°39.5'N115°15.9'W 1.065 38° 131° 344 km 04m02.2s
17:0465°22.3'N116°02.3'W63°04.7'N111°15.0'W64°13.9'N113°31.1'W 1.065 38° 134° 343 km 04m03.1s
17:0665°57.9'N114°11.0'W63°36.2'N109°31.5'W64°47.3'N111°43.6'W 1.065 38° 137° 343 km 04m03.9s
17:0866°32.5'N112°16.2'W64°06.8'N107°45.4'W65°19.8'N109°53.2'W 1.066 39° 140° 342 km 04m04.5s
17:1067°06.2'N110°17.6'W64°36.5'N105°56.5'W65°51.4'N107°59.5'W 1.066 39° 143° 341 km 04m05.1s
17:1267°38.8'N108°15.0'W65°05.2'N104°04.7'W66°22.0'N106°02.3'W 1.066 39° 146° 341 km 04m05.5s
17:1468°10.3'N106°07.9'W65°33.0'N102°09.8'W66°51.5'N104°01.5'W 1.066 39° 150° 340 km 04m05.8s
17:1668°40.6'N103°56.0'W65°59.7'N100°11.6'W67°19.9'N101°56.6'W 1.066 39° 153° 339 km 04m06.0s
17:1869°09.8'N101°39.1'W66°25.3'N098°09.8'W67°47.2'N099°47.6'W 1.066 39° 156° 339 km 04m06.1s
17:2069°37.7'N099°16.7'W66°49.8'N096°04.3'W68°13.2'N097°34.1'W 1.066 39° 160° 338 km 04m06.1s
17:2270°04.2'N096°48.7'W67°13.1'N093°55.0'W68°38.0'N095°15.9'W 1.066 39° 163° 338 km 04m06.0s
17:2470°29.2'N094°14.8'W67°35.2'N091°41.6'W69°01.5'N092°52.9'W 1.066 39° 167° 337 km 04m05.7s
17:2670°52.7'N091°34.7'W67°55.9'N089°24.1'W69°23.5'N090°24.9'W 1.066 39° 170° 337 km 04m05.3s
17:2871°14.4'N088°48.2'W68°15.2'N087°02.4'W69°43.9'N087°51.7'W 1.065 39° 174° 336 km 04m04.9s
17:3071°34.4'N085°55.2'W68°33.1'N084°36.3'W70°02.8'N085°13.3'W 1.065 38° 178° 336 km 04m04.3s
17:3271°52.4'N082°55.6'W68°49.4'N082°05.9'W70°19.9'N082°29.5'W 1.065 38° 182° 336 km 04m03.5s
17:3472°08.3'N079°49.5'W69°04.1'N079°31.0'W70°35.1'N079°40.4'W 1.065 38° 186° 335 km 04m02.7s
17:3672°22.0'N076°37.0'W69°17.0'N076°51.7'W70°48.4'N076°46.1'W 1.065 37° 190° 335 km 04m01.7s
17:3872°33.2'N073°18.1'W69°28.0'N074°08.1'W70°59.6'N073°46.5'W 1.065 37° 194° 335 km 04m00.7s
17:4072°42.0'N069°53.4'W69°37.2'N071°20.1'W71°08.6'N070°42.0'W 1.065 37° 198° 334 km 03m59.5s
17:4272°48.0'N066°23.1'W69°44.2'N068°28.1'W71°15.2'N067°32.6'W 1.065 36° 202° 334 km 03m58.1s
17:4472°51.2'N062°47.8'W69°49.2'N065°32.1'W71°19.4'N064°18.8'W 1.065 36° 207° 334 km 03m56.7s
17:4672°51.3'N059°08.1'W69°51.8'N062°32.3'W71°21.0'N061°00.9'W 1.064 35° 211° 334 km 03m55.1s
17:4872°48.3'N055°24.6'W69°52.1'N059°28.9'W71°19.8'N057°39.3'W 1.064 34° 215° 333 km 03m53.4s
17:5072°42.0'N051°38.1'W69°49.9'N056°22.3'W71°15.8'N054°14.4'W 1.064 34° 220° 333 km 03m51.5s
17:5272°32.2'N047°49.2'W69°45.0'N053°12.7'W71°08.8'N050°46.6'W 1.064 33° 224° 333 km 03m49.6s
17:5472°18.8'N043°58.7'W69°37.4'N050°00.4'W70°58.6'N047°16.4'W 1.064 32° 229° 333 km 03m47.4s
17:5672°01.6'N040°07.1'W69°27.0'N046°45.5'W70°45.2'N043°44.2'W 1.063 31° 233° 333 km 03m45.1s
17:5871°40.5'N036°14.9'W69°13.5'N043°28.3'W70°28.3'N040°10.3'W 1.063 30° 238° 333 km 03m42.7s
18:0071°15.4'N032°22.5'W68°56.9'N040°09.0'W70°07.9'N036°35.0'W 1.063 29° 242° 333 km 03m40.1s
18:0270°45.9'N028°29.9'W68°36.9'N036°47.6'W69°43.6'N032°58.3'W 1.062 28° 246° 333 km 03m37.3s
18:0470°11.8'N024°37.0'W68°13.4'N033°24.1'W69°15.3'N029°20.2'W 1.062 27° 251° 332 km 03m34.3s
18:0669°32.7'N020°43.2'W67°46.1'N029°58.2'W68°42.7'N025°40.4'W 1.062 26° 255° 332 km 03m31.1s
18:0868°48.2'N016°47.6'W67°14.6'N026°29.5'W68°05.4'N021°58.2'W 1.061 24° 259° 332 km 03m27.7s
18:1067°57.5'N012°48.4'W66°38.7'N022°57.2'W67°22.8'N018°12.5'W 1.061 23° 264° 332 km 03m24.0s
18:1266°59.4'N008°43.1'W65°57.7'N019°20.3'W66°34.2'N014°21.8'W 1.060 21° 268° 331 km 03m20.0s
18:1465°52.3'N004°26.5'W65°10.8'N015°36.9'W65°38.4'N010°23.2'W 1.060 19° 273° 330 km 03m15.6s
18:1664°33.0'N000°06.4'E64°16.9'N011°44.2'W64°33.8'N006°12.4'W 1.059 17° 277° 329 km 03m10.7s
18:1862°55.2'N005°13.7'E63°14.1'N007°37.6'W63°17.0'N001°41.6'W 1.058 15° 282° 328 km 03m05.2s
18:2060°41.2'N011°38.4'E61°59.2'N003°08.8'W61°41.8'N003°25.5'E 1.057 12° 287° 326 km 02m58.6s
18:22 - - 60°25.4'N001°59.8'E59°29.4'N009°56.1'E 1.056 293° 322 km 02m50.0s
Limits56°09.2'N023°31.4'E54°04.0'N020°09.3'E55°06.1'N021°46.9'E 1.054 - 312 km 02m34.0s

ΔT = 10.7 seconds

Greatest Eclipse and Greatest Duration
Event Time
TD
Time
UT1
Latitude Longitude Sun
Altitude
Sun
Azimuth
Path Width Central
Duration
Greatest Eclipse17:18:28.417:18:17.767°51.1'N099°30.8'W 39.2° 156.7° 338.8 km04m06.12s
Greatest Duration17:18:46.917:18:36.267°55.2'N099°07.8'W 39.2° 157.2° 338.7 km04m06.12s

Explanation of Greatest Eclipse and Greatest Duration

Links for the Total Solar Eclipse of 1733 May 13

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 Total Solar Eclipse of 1733 May 13 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 10.7 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.