Besselian Elements for the Total Solar Eclipse of 1981 Jul 31

Fred Espenak

The following table contains the Besselian elements for the Total Solar Eclipse of 1981 Jul 31 .

The geographic coordinates of the eclipse path are in the Path Table . The global visibility of the eclipse is shown on an Orthographic Map . The features of this map are described in the Key to Solar Eclipse Path Tables. The path of the eclipse is displayed in greater detail on a Google Map .


            

Besselian Elements for the Total Solar Eclipse of 1981 Jul 31

Equatorial Conjunction: 03:36:25.8 TDT J.D. = 2444816.650299 (Sun & Moon in R.A.) (=03:35:33.9 UT) Ecliptic Conjunction: 03:52:49.0 TDT J.D. = 2444816.661679 (Sun & Moon in Ec. Lo.) (=03:51:57.1 UT) Instant of 03:46:36.6 TDT J.D. = 2444816.657368 Greatest Eclipse: (=03:45:44.7 UT) --------------------------------------------------------------------------- Gamma = 0.5792 Ephemerides = VSOP87/ELP2000-82 Eclipse Magnitude = 1.0258 Lunation No. = -228 ΔT = 51.9 s Saros Series = 145 (20/77) 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/ELP2000-82): Sun: R.A. = 08h41m03.3s Moon: R.A. = 08h41m26.2s Dec. =+18°18'24.9" Dec. =+18°51'47.8" Semi-Diameter = 15'45.4" Semi-Diameter = 15'57.1" Eq.Hor.Par. = 08.7" Eq.Hor.Par. = 0°58'32.6" --------------------------------------------------------------------------- Polynomial Besselian Elements for: 1981 Jul 31 04:00:00.0 TDT (=t0) n x y d l1 l2 μ 0 0.215253 0.551767 18.30329 0.542993 -0.003129 238.42110 1 0.5479364 -0.0891738 -0.010036 0.0001114 0.0001108 15.001874 2 -0.0000456 -0.0001411 -0.000004 -0.0000116 -0.0000115 3 -0.0000080 0.0000012 Tan ƒ1 = 0.0046061 Tan ƒ2 = 0.0045832 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 = 4.000 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 1.00 ≤ t0 ≤ 7.00 TDT. Note that all times are expressed in Terrestrial Dynamical Time (TDT). Saros Series 145: Member 20 of 77 eclipses in series.

Total Solar Eclipse of 1981 Jul 31


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Acknowledgments

Predictions for the Total Solar Eclipse of 1981 Jul 31 were generated using the VSOP87/ELP2000-82 solar and lunar ephemerides and a value of ΔT = 51.9 seconds. 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.

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

2008 Mar 27