Besseliam Elements for Annular Solar Eclipse of 2013 May 10 (original) (raw)

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

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