Besselian Elements for the Total Solar Eclipse of 2038 Dec 26

Fred Espenak

The following table contains the Besselian elements for the Total Solar Eclipse of 2038 Dec 26 .

The geographic coordinates of the eclipse path are listed in the Path Table . The global visibility of the eclipse is shown on an Orthographic Map . The path of the eclipse is displayed in greater detail on an Google Map .


            

Besselian Elements for the Total Solar Eclipse of 2038 Dec 26

Equatorial Conjunction: 01:02:10.5 TDT J.D. = 2465783.543178 (Sun & Moon in R.A.) (=01:00:47.5 UT) Ecliptic Conjunction: 01:03:10.5 TDT J.D. = 2465783.543871 (Sun & Moon in Ec. Lo.) (=01:01:47.4 UT) Instant of 01:00:09.5 TDT J.D. = 2465783.541777 Greatest Eclipse: (=00:58:46.5 UT) --------------------------------------------------------------------------- Gamma = -0.2881 Ephemerides = VSOP87/ELP2000-85 Eclipse Magnitude = 1.0269 Lunation No. = 482 ΔT = 83.0 s Saros Series = 142 (24/72) Lunar Radius k1 = 0.272488 (Penumbra) Shift in Δb = 0.00" Constants: k2 = 0.272281 (Umbra) Lunar Position: Δl = 0.00" --------------------------------------------------------------------------- Geocentric Coordinates of Sun & Moon at Greatest Eclipse (VSOP87/ELP2000-85): Sun: R.A. = 18h18m51.7s Moon: R.A. = 18h18m46.7s Dec. =-23°21'47.9" Dec. =-23°39'05.2" Semi-Diameter = 16'15.7" Semi-Diameter = 16'25.8" Eq.Hor.Par. = 08.9" Eq.Hor.Par. = 1°00'18.1" --------------------------------------------------------------------------- Polynomial Besselian Elements for: 2038 Dec 26 01:00:00.0 TDT (=t0) n x y d l1 l2 μ 0 -0.020663 -0.287343 -23.36258 0.543507 -0.002618 194.92212 1 0.5698440 -0.0379715 0.001481 0.0000867 0.0000863 14.996375 2 0.0000017 0.0001916 0.000006 -0.0000126 -0.0000126 3 -0.0000079 0.0000007 Tan ƒ1 = 0.0047537 Tan ƒ2 = 0.0047300 At time t1 (decimal hours), each Besselian element is evaluated by: a = a0 + a1*t + a2*t^2 + a3*t^3 (or a = Σ [an*t^n]; n = 0 to 3) where: a = x, y, d, l1, l2, or μ t = t1 - t0 (decimal hours) and t0 = 1.000 TDT The Besselian elements were derived from a least-squares fit to elements calculated at five uniformly spaced times over a six hour period centered at t0. The Besselian elements are valid over the period 22.00 ≤ t0 ≤ 4.00 TDT. Note that all times are expressed in Terrestrial Dynamical Time (TDT). Saros Series 142: Member 24 of 72 eclipses in series.

Greatest Eclipse and Greatest Duration


   Instant of 
Greatest Eclipse:       Time =  00:58:46.5 UT       Lat = 40°16.5'S      Long = 163°56.9'E
      (GE)               Sun Altitude =  73.0°          Path Width =  95.3 km
                          Sun Azimuth =   4.5°    Central Duration =   02m18.2s


   Instant of 
Greatest Duration:      Time =    00:58:03 UT       Lat =   40°15'S      Long =   163°37'E
      (GD)               Sun Altitude =  73.0°          Path Width =  95.3 km
                          Sun Azimuth =   6.2°    Central Duration =   02m18.2s


Links for the Total Solar Eclipse of 2038 Dec 26


Eclipse Predictions

Predictions for the Total Solar Eclipse of 2038 Dec 26 were generated using the VSOP87/ELP2000-85 solar and lunar ephemerides and a value of ΔT = 83.0 seconds. The luanr coordinates have been calculated with respect to the Moon's Center of Mass. They DO NOT include a correction to the Center of Figure, or the effects of mountains and valleys along the edge of the Moon.

Acknowledgments

All eclipse calculations are by Fred Espenak, and he assumes full responsibility for their accuracy. 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


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