The following table contains the Besselian elements for the Annular Solar Eclipse of 2049 May 31 .
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 Annular Solar Eclipse of 2049 May 31
Equatorial Conjunction: 13:59:22.8 TDT J.D. = 2469593.082903
(Sun & Moon in R.A.) (=13:57:51.3 UT)
Ecliptic Conjunction: 14:01:21.8 TDT J.D. = 2469593.084280
(Sun & Moon in Ec. Lo.) (=13:59:50.3 UT)
Instant of 13:59:58.5 TDT J.D. = 2469593.083316
Greatest Eclipse: (=13:58:27.0 UT)
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Gamma = -0.1187 Ephemerides = VSOP87/ELP2000-85
Eclipse Magnitude = 0.9631 Lunation No. = 611
ΔT = 91.5 s Saros Series = 138 (33/70)
Lunar Radius k1 = 0.272488 (Penumbra) Shift in Δb = 0.00"
Constants: k2 = 0.272281 (Umbra) Lunar Position: Δl = 0.00"
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Geocentric Coordinates of Sun & Moon at Greatest Eclipse (VSOP87/ELP2000-85):
Sun: R.A. = 04h35m51.4s Moon: R.A. = 04h35m52.6s
Dec. =+22°01'26.5" Dec. =+21°54'56.7"
Semi-Diameter = 15'46.5" Semi-Diameter = 14'57.8"
Eq.Hor.Par. = 08.7" Eq.Hor.Par. = 0°54'55.1"
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Polynomial Besselian Elements for: 2049 May 31 14:00:00.0 TDT (=t0)
n x y d l1 l2 μ
0 0.005326 -0.118584 22.02431 0.561226 0.015013 30.54614
1 0.5155649 0.0222160 0.005649 0.0000805 0.0000801 14.999741
2 -0.0000064 -0.0001362 -0.000005 -0.0000101 -0.0000100
3 -0.0000060 -0.0000001
Tan ƒ1 = 0.0046123 Tan ƒ2 = 0.0045894
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 = 14.000 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 11.00 ≤ t0 ≤ 17.00 TDT.
Note that all times are expressed in Terrestrial Dynamical Time (TDT).
Saros Series 138: Member 33 of 70 eclipses in series.
Instant of Greatest Eclipse: Time = 13:58:27.0 UT Lat = 15°18.6'N Long = 029°51.2'W (GE) Sun Altitude = 83.3° Path Width = 134.4 km Sun Azimuth = 357.6° Central Duration = 04m45.3s Instant of Greatest Duration: Time = 14:03:55 UT Lat = 15°24'N Long = 028°26'W (GD) Sun Altitude = 82.8° Path Width = 134.6 km Sun Azimuth = 336.6° Central Duration = 04m45.5s
Predictions for the Annular Solar Eclipse of 2049 May 31 were generated using the VSOP87/ELP2000-85 solar and lunar ephemerides and a value of ΔT = 91.5 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.
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
