The following table contains the Besseliam elements for the Annular Solar Eclipse of 2013 May 10 .
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 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 Annular Solar Eclipse of 2013 May 10
Equatorial Conjunction: 00:20:48.1 TDT J.D. = 2456422.514446
(Sun & Moon in R.A.) (=00:19:41.1 UT)
Ecliptic Conjunction: 00:29:30.5 TDT J.D. = 2456422.520492
(Sun & Moon in Ec. Lo.) (=00:28:23.6 UT)
Instant of 00:26:20.3 TDT J.D. = 2456422.518290
Greatest Eclipse: (=00:25:13.3 UT)
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Gamma = -0.2694 Ephemerides = JPL DE405
Eclipse Magnitude = 0.9544 Lunation No. = 165
ΔT = 67.0 s Saros Series = 138 (31/70)
Lunar Radius k1 = 0.272508 (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 (JPL DE405):
Sun: R.A. = 03h08m17.4s Moon: R.A. = 03h08m28.1s
Dec. =+17°36'34.3" Dec. =+17°22'06.3"
Semi-Diameter = 15'50.4" Semi-Diameter = 14'53.8"
Eq.Hor.Par. = 08.7" Eq.Hor.Par. = 0°54'40.4"
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Polynomial Besselian Elements for: 2013 May 10 00:00:00.0 TDT (=t0)
n x y d l1 l2 μ
0 -0.175181 -0.304301 17.60547 0.563690 0.017446 180.90349
1 0.5052871 0.0888896 0.010701 0.0000788 0.0000784 15.001661
2 0.0000145 -0.0000958 -0.000004 -0.0000100 -0.0000100
3 -0.0000059 -0.0000010
Tan ƒ1 = 0.0046313 Tan ƒ2 = 0.0046082
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 = 0.000 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 21.00 ≤ t0 ≤ 3.00 TDT.
Note that all times are expressed in Terrestrial Dynamical Time (TDT).
Saros Series 138: Member 31 of 70 eclipses in series.
Instant of Greatest Eclipse: Time = 00:25:13.3 UT Lat = 02°13.2'N Long = 175°27.9'E (GE) Sun Altitude = 74.4° Path Width = 172.6 km Sun Azimuth = 350.5° Central Duration = 06m03.4s Instant of Greatest Duration: Time = 00:35:21 UT Lat = 02°59'N Long = 177°51'E (GD) Sun Altitude = 73.6° Path Width = 173.6 km Sun Azimuth = 333.6° Central Duration = 06m04.3s
Predictions for the Annular Solar Eclipse of 2013 May 10 were generated using the JPL DE405 solar and lunar ephemerides and a value of ΔT = 67.0 seconds.
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
