Instant of 00:46:53 TDT JD = 2353656.53300 Greatest Eclipse: (=00:46:42 UT) Gamma = 0.7234 Ephemerides = VSOP87/ELP2000-82 Eclipse Magnitude = 1.0065 Lunation No. = -3315 Eclipse Type = H Saros Series = 137 ΔT = 10.7 s Lunar Radius k1 = 0.272488 (Penumbra) Shift in Δb = 0.00" Constants: k2 = 0.272281 (Umbra) Lunar Position: Δl = 0.00" Polynomial Besselian Elements for: 1731 Dec 29 1.000 TDT (=t0) n x y d l1 l2 μ 0 0.0133260 0.7335870 -23.2947102 0.5476270 0.0014810 194.430603 1 0.5552251 0.0839815 0.0020130 -0.0001125 -0.0001119 14.996370 2 -0.0000096 0.0001337 0.0000060 -0.0000122 -0.0000122 0.000000 3 -0.0000084 -0.0000014 0.0000000 0.0000000 0.0000000 0.000000 tan f1 = 0.0047555 tan f2 = 0.0047318 At time t1 (decimal hours), each Besselian element is evaluated by: a = a0 + a1*t + a2*t2 + a3*t3 where: a = x, y, d, l1, l2, or μ; t = t1 - t0 (decimal hours), and t0 = 1.000 TDT. Circumstances at Greatest Eclipse: 00:46:42 UT Latitude: 22.7° N Sun’s Altitude: 43.5° Path Width = 32.4 km Longitude: 162.2° E Sun’s Azimuth: 171.5° Central Duration = 00m39s
The solar eclipse predictions were made using the VSOP87/ELP2000-82 solar and lunar ephemerides. The resulting Besselian elements from these ephemerides were originally generated for the NASA technical publication Five Millennium Canon of Solar Eclipses: -1999 to +3000.
The accuracy of the northern and southern edges of the eclipse path are limited to approximately 1-2 kilometers due to the lunar limb profile. For eclipses five centuries or more centuries in the past or future, the largest uncertainty in the predictions is caused by fluctuations in Earth's rotation due primarily to the tidal friction of the Moon. The resultant drift in apparent clock time is expressed as ΔT and is is based on the work of Morrison and Stephenson .
The Gregorian calendar is used for all dates from 1582 Oct 15 onwards. Before that date, the Julian calendar is used (see Calendar Dates).
Besselian elements page formatting by Bill Kramer.
Eclipse calculations are by Fred Espenak, and he assumes full responsibility for their accuracy. The information presented here is based on the Five Millennium Canon of Solar Eclipses: -1999 to +3000 (2000 BCE to 3000 CE).
Permission is freely granted to reproduce this data when accompanied by an acknowledgment:
"Eclipse Predictions by Fred Espenak, NASA's GSFC"
For more information, see: NASA Copyright Information