Besselian Elements for the Total Solar Eclipse of 2076 Jan 06

Fred Espenak

The following table contains the Besselian elements for the Total Solar Eclipse of 2076 Jan 06 .

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 2076 Jan 06

Equatorial Conjunction: 10:05:23.8 TDT J.D. = 2479308.920414 (Sun & Moon in R.A.) (=10:02:55.9 UT) Ecliptic Conjunction: 10:16:52.4 TDT J.D. = 2479308.928385 (Sun & Moon in Ec. Lo.) (=10:14:24.5 UT) Instant of 10:07:27.5 TDT J.D. = 2479308.921846 Greatest Eclipse: (=10:04:59.6 UT) --------------------------------------------------------------------------- Gamma = -0.9373 Ephemerides = VSOP87/ELP2000-82 Eclipse Magnitude = 1.0342 Lunation No. = 940 ΔT = 147.9 s Saros Series = 152 (16/70) 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. = 19h09m11.6s Moon: R.A. = 19h09m17.0s Dec. =-22°28'36.7" Dec. =-23°26'00.6" Semi-Diameter = 16'15.9" Semi-Diameter = 16'43.8" Eq.Hor.Par. = 08.9" Eq.Hor.Par. = 1°01'24.1" --------------------------------------------------------------------------- Polynomial Besselian Elements for: 2076 Jan 06 10:00:00.0 TDT (=t0) n x y d l1 l2 μ 0 -0.052384 -0.938650 -22.47513 0.538667 -0.007434 328.59515 1 0.5824669 0.0123863 0.004989 -0.0000193 -0.0000192 14.996979 2 0.0000022 0.0002259 0.000006 -0.0000131 -0.0000131 3 -0.0000099 -0.0000001 Tan ƒ1 = 0.0047545 Tan ƒ2 = 0.0047309 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 = 10.000 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 7.00 ≤ t0 ≤ 13.00 TDT. Note that all times are expressed in Terrestrial Dynamical Time (TDT). Saros Series 152: Member 16 of 70 eclipses in series.

Total Solar Eclipse of 2076 Jan 06


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Acknowledgments

Predictions for the Total Solar Eclipse of 2076 Jan 06 were generated using the VSOP87/ELP2000-82 solar and lunar ephemerides and a value of ΔT = 147.9 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