Besseliam Elements for the Annular Solar Eclipse of 2013 May 10

Fred Espenak

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) --------------------------------------------------------------------------- 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" --------------------------------------------------------------------------- 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" --------------------------------------------------------------------------- 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


Additional Links: Annular Solar Eclipse of 2013 May 10


Eclipse Predictions

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.

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


Solar Eclipse Links

2014 Feb 24