Path of the Annular Solar Eclipse of 1787 Dec 09
Fred Espenak
Introduction
The following table delineates the path of the Moon's antumbral shadow during the Annular Solar Eclipse of 1787 Dec 09 . 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 1787 Dec 09 | |||||||||||
| UT1 | Northern Limit | Southern Limit | Central Line | M:S | Sun | Sun | Path | Central | |||
| Latitude | Longitude | Latitude | Longitude | Latitude | Longitude | Ratio | Alt. | Azm. | Width | Duration | |
| Limits | 51°12.4'S | 171°10.6'W | 56°08.6'S | 178°24.2'E | 53°36.1'S | 175°53.5'W | 0.907 | 0° | - | 858 km | 05m39.9s |
| 15:18 | 60°59.4'S | 153°53.8'W | - | - | 57°38.5'S | 168°34.7'W | 0.908 | 6° | 125° | 843 km | 05m48.5s |
| 15:20 | 62°24.5'S | 151°30.3'W | - | - | 60°13.4'S | 164°17.7'W | 0.909 | 9° | 120° | 827 km | 05m54.0s |
| 15:22 | 63°41.9'S | 149°17.7'W | - | - | 62°08.7'S | 161°13.2'W | 0.910 | 12° | 117° | 813 km | 05m58.0s |
| 15:24 | 64°53.6'S | 147°12.2'W | 59°15.7'S | 176°05.7'W | 63°46.2'S | 158°39.0'W | 0.910 | 14° | 114° | 801 km | 06m01.4s |
| 15:26 | 66°00.7'S | 145°10.8'W | 62°19.0'S | 171°16.5'W | 65°12.9'S | 156°21.6'W | 0.910 | 15° | 111° | 789 km | 06m04.3s |
| 15:28 | 67°04.2'S | 143°11.9'W | 64°24.4'S | 168°11.9'W | 66°32.3'S | 154°14.3'W | 0.911 | 17° | 109° | 778 km | 06m06.9s |
| 15:30 | 68°04.4'S | 141°13.9'W | 66°08.4'S | 165°44.1'W | 67°46.1'S | 152°13.3'W | 0.911 | 18° | 106° | 768 km | 06m09.3s |
| 15:32 | 69°02.0'S | 139°15.4'W | 67°40.3'S | 163°35.8'W | 68°55.5'S | 150°15.7'W | 0.911 | 19° | 104° | 758 km | 06m11.5s |
| 15:34 | 69°57.1'S | 137°15.4'W | 69°04.3'S | 161°39.1'W | 70°01.5'S | 148°19.7'W | 0.912 | 20° | 101° | 749 km | 06m13.5s |
| 15:36 | 70°50.0'S | 135°12.9'W | 70°22.4'S | 159°49.7'W | 71°04.4'S | 146°23.6'W | 0.912 | 21° | 98° | 741 km | 06m15.4s |
| 15:38 | 71°40.8'S | 133°06.9'W | 71°36.0'S | 158°04.5'W | 72°04.7'S | 144°25.8'W | 0.912 | 22° | 96° | 733 km | 06m17.1s |
| 15:40 | 72°29.7'S | 130°56.4'W | 72°46.1'S | 156°21.6'W | 73°02.7'S | 142°25.0'W | 0.912 | 23° | 93° | 726 km | 06m18.7s |
| 15:42 | 73°16.8'S | 128°40.5'W | 73°53.2'S | 154°38.9'W | 73°58.6'S | 140°19.9'W | 0.912 | 24° | 90° | 720 km | 06m20.2s |
| 15:44 | 74°02.0'S | 126°18.0'W | 74°57.9'S | 152°54.7'W | 74°52.6'S | 138°08.8'W | 0.913 | 25° | 87° | 714 km | 06m21.6s |
| 15:46 | 74°45.4'S | 123°47.9'W | 76°00.4'S | 151°07.4'W | 75°44.8'S | 135°50.3'W | 0.913 | 25° | 84° | 708 km | 06m22.9s |
| 15:48 | 75°27.0'S | 121°09.2'W | 77°01.0'S | 149°15.3'W | 76°35.2'S | 133°22.6'W | 0.913 | 26° | 81° | 703 km | 06m24.1s |
| 15:50 | 76°06.6'S | 118°20.6'W | 78°00.0'S | 147°15.8'W | 77°23.8'S | 130°43.6'W | 0.913 | 26° | 77° | 698 km | 06m25.2s |
| 15:52 | 76°44.3'S | 115°20.9'W | 78°57.4'S | 145°06.7'W | 78°10.5'S | 127°51.1'W | 0.913 | 27° | 73° | 694 km | 06m26.2s |
| 15:54 | 77°19.8'S | 112°09.1'W | 79°53.3'S | 142°44.6'W | 78°55.4'S | 124°42.5'W | 0.913 | 27° | 69° | 690 km | 06m27.1s |
| 15:56 | 77°53.1'S | 108°43.9'W | 80°47.7'S | 140°05.3'W | 79°38.1'S | 121°14.6'W | 0.913 | 28° | 65° | 687 km | 06m27.9s |
| 15:58 | 78°24.0'S | 105°04.3'W | 81°40.6'S | 137°03.2'W | 80°18.6'S | 117°24.3'W | 0.913 | 28° | 60° | 684 km | 06m28.7s |
| 16:00 | 78°52.2'S | 101°09.5'W | 82°31.8'S | 133°30.4'W | 80°56.4'S | 113°07.7'W | 0.913 | 28° | 55° | 681 km | 06m29.4s |
| 16:02 | 79°17.5'S | 096°59.0'W | 83°21.0'S | 129°16.1'W | 81°31.2'S | 108°21.3'W | 0.913 | 29° | 49° | 679 km | 06m29.9s |
| 16:04 | 79°39.6'S | 092°32.9'W | 84°07.7'S | 124°05.2'W | 82°02.6'S | 103°01.3'W | 0.913 | 29° | 43° | 677 km | 06m30.5s |
| 16:06 | 79°58.3'S | 087°51.7'W | 84°51.2'S | 117°36.3'W | 82°29.9'S | 097°05.5'W | 0.913 | 29° | 36° | 675 km | 06m30.9s |
| 16:08 | 80°13.4'S | 082°56.9'W | 85°30.2'S | 109°21.4'W | 82°52.5'S | 090°33.2'W | 0.914 | 29° | 28° | 674 km | 06m31.2s |
| 16:10 | 80°24.6'S | 077°50.7'W | 86°02.6'S | 098°49.7'W | 83°09.7'S | 083°27.1'W | 0.914 | 29° | 20° | 673 km | 06m31.5s |
| 16:12 | 80°31.7'S | 072°36.1'W | 86°25.7'S | 085°43.3'W | 83°20.9'S | 075°53.6'W | 0.914 | 29° | 12° | 672 km | 06m31.7s |
| 16:14 | 80°34.5'S | 067°16.8'W | 86°36.4'S | 070°31.1'W | 83°25.6'S | 068°03.7'W | 0.914 | 29° | 3° | 672 km | 06m31.8s |
| 16:16 | 80°33.1'S | 061°57.1'W | 86°33.0'S | 054°48.0'W | 83°23.7'S | 060°11.0'W | 0.914 | 29° | 354° | 672 km | 06m31.8s |
| 16:18 | 80°27.5'S | 056°40.9'W | 86°16.0'S | 040°29.6'W | 83°15.2'S | 052°29.7'W | 0.914 | 29° | 345° | 672 km | 06m31.8s |
| 16:20 | 80°17.8'S | 051°32.1'W | 85°48.1'S | 028°39.3'W | 83°00.6'S | 045°11.9'W | 0.914 | 29° | 337° | 673 km | 06m31.6s |
| 16:22 | 80°04.1'S | 046°34.1'W | 85°12.5'S | 019°18.5'W | 82°40.3'S | 038°26.0'W | 0.914 | 29° | 329° | 674 km | 06m31.4s |
| 16:24 | 79°46.7'S | 041°49.2'W | 84°31.4'S | 011°59.7'W | 82°15.1'S | 032°16.1'W | 0.913 | 29° | 322° | 675 km | 06m31.1s |
| 16:26 | 79°25.9'S | 037°19.1'W | 83°46.6'S | 006°12.5'W | 81°45.6'S | 026°42.6'W | 0.913 | 29° | 316° | 677 km | 06m30.8s |
| 16:28 | 79°01.9'S | 033°04.7'W | 82°59.0'S | 001°32.1'W | 81°12.5'S | 021°43.9'W | 0.913 | 29° | 310° | 679 km | 06m30.3s |
| 16:30 | 78°34.9'S | 029°06.1'W | 82°09.3'S | 002°19.5'E | 80°36.3'S | 017°16.6'W | 0.913 | 28° | 304° | 681 km | 06m29.8s |
| 16:32 | 78°05.3'S | 025°22.9'W | 81°17.9'S | 005°35.3'E | 79°57.4'S | 013°17.1'W | 0.913 | 28° | 299° | 684 km | 06m29.2s |
| 16:34 | 77°33.2'S | 021°54.5'W | 80°25.0'S | 008°24.4'E | 79°16.1'S | 009°41.7'W | 0.913 | 28° | 295° | 687 km | 06m28.5s |
| 16:36 | 76°58.9'S | 018°39.9'W | 79°30.7'S | 010°53.5'E | 78°32.8'S | 006°26.8'W | 0.913 | 27° | 291° | 691 km | 06m27.7s |
| 16:38 | 76°22.6'S | 015°37.9'W | 78°35.1'S | 013°07.5'E | 77°47.6'S | 003°29.4'W | 0.913 | 27° | 287° | 695 km | 06m26.9s |
| 16:40 | 75°44.2'S | 012°47.5'W | 77°38.1'S | 015°09.9'E | 77°00.6'S | 000°46.7'W | 0.913 | 27° | 283° | 699 km | 06m25.9s |
| 16:42 | 75°04.1'S | 010°07.3'W | 76°39.6'S | 017°04.1'E | 76°12.0'S | 001°43.8'E | 0.913 | 26° | 280° | 704 km | 06m24.9s |
| 16:44 | 74°22.2'S | 007°36.3'W | 75°39.6'S | 018°50.9'E | 75°21.7'S | 004°04.0'E | 0.913 | 25° | 277° | 709 km | 06m23.8s |
| 16:46 | 73°38.5'S | 005°13.4'W | 74°37.8'S | 020°33.9'E | 74°29.7'S | 006°15.8'E | 0.912 | 25° | 274° | 714 km | 06m22.6s |
| 16:48 | 72°53.2'S | 002°57.6'W | 73°34.1'S | 022°14.0'E | 73°36.1'S | 008°20.9'E | 0.912 | 24° | 271° | 720 km | 06m21.2s |
| 16:50 | 72°06.2'S | 000°47.7'W | 72°28.1'S | 023°53.0'E | 72°40.6'S | 010°20.6'E | 0.912 | 23° | 268° | 727 km | 06m19.8s |
| 16:52 | 71°17.4'S | 001°17.1'E | 71°19.4'S | 025°32.1'E | 71°43.2'S | 012°16.3'E | 0.912 | 23° | 265° | 734 km | 06m18.3s |
| 16:54 | 70°26.9'S | 003°17.8'E | 70°07.4'S | 027°13.3'E | 70°43.7'S | 014°09.5'E | 0.912 | 22° | 263° | 742 km | 06m16.6s |
| 16:56 | 69°34.4'S | 005°15.2'E | 68°51.4'S | 028°58.3'E | 69°41.8'S | 016°00.9'E | 0.912 | 21° | 260° | 750 km | 06m14.8s |
| 16:58 | 68°39.9'S | 007°10.4'E | 67°30.3'S | 030°49.8'E | 68°37.1'S | 017°52.3'E | 0.911 | 20° | 257° | 758 km | 06m12.9s |
| 17:00 | 67°43.1'S | 009°04.1'E | 66°02.1'S | 032°51.4'E | 67°29.2'S | 019°45.1'E | 0.911 | 19° | 255° | 768 km | 06m10.8s |
| 17:02 | 66°43.8'S | 010°57.5'E | 64°23.8'S | 035°09.2'E | 66°17.3'S | 021°41.1'E | 0.911 | 17° | 252° | 778 km | 06m08.5s |
| 17:04 | 65°41.6'S | 012°51.7'E | 62°28.8'S | 037°55.9'E | 65°00.5'S | 023°42.6'E | 0.910 | 16° | 250° | 789 km | 06m06.0s |
| 17:06 | 64°35.9'S | 014°48.0'E | 59°57.5'S | 041°48.1'E | 63°37.2'S | 025°52.8'E | 0.910 | 14° | 247° | 800 km | 06m03.3s |
| 17:08 | 63°26.2'S | 016°48.1'E | - | - | 62°04.7'S | 028°17.2'E | 0.910 | 13° | 244° | 812 km | 06m00.1s |
| 17:10 | 62°11.3'S | 018°54.3'E | - | - | 60°17.9'S | 031°05.7'E | 0.909 | 10° | 241° | 826 km | 05m56.4s |
| 17:12 | 60°49.7'S | 021°10.0'E | - | - | 58°03.7'S | 034°44.2'E | 0.908 | 7° | 238° | 840 km | 05m51.6s |
| 17:14 | 59°18.6'S | 023°40.8'E | - | - | 53°23.0'S | 043°04.2'E | 0.907 | 1° | 230° | 860 km | 05m41.5s |
| Limits | 50°35.0'S | 039°09.7'E | 55°35.0'S | 049°24.4'E | 53°00.4'S | 043°48.1'E | 0.906 | 0° | - | 860 km | 05m40.7s |
ΔT = 16.4 seconds
| Greatest Eclipse and Greatest Duration | ||||||||
| Event | Time TD |
Time UT1 |
Latitude | Longitude | Sun Altitude |
Sun Azimuth |
Path Width | Central Duration |
| Greatest Eclipse | 16:15:38.0 | 16:15:21.6 | 83°25.0'S | 062°45.7'W | 29.5° | 356.9° | 671.6 km | 06m31.81s |
| Greatest Duration | 16:16:02.6 | 16:15:46.2 | 83°24.3'S | 061°05.1'W | 29.5° | 355.1° | 671.6 km | 06m31.81s |
Links for the Annular Solar Eclipse of 1787 Dec 09
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 1787 Dec 09 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 16.4 seconds for this eclipse. The uncertainty in ΔT is 1.5 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.