Besselian Elements for Annular Solar Eclipse of 2052 Sep 22 (original) (raw)

Fred Espenak

The following table contains the Besselian elements for the Annular Solar Eclipse of 2052 Sep 22 .

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 Annular Solar Eclipse of 2052 Sep 22

        Equatorial Conjunction:     23:55:26.1 TDT     J.D. = 2470803.496829
          (Sun & Moon in R.A.)    (=23:53:47.6 UT)

         Ecliptic Conjunction:      23:34:05.8 TDT     J.D. = 2470803.482012
         (Sun & Moon in Ec. Lo.)  (=23:32:27.4 UT)

              Instant of            23:39:09.7 TDT     J.D. = 2470803.485529
           Greatest Eclipse:      (=23:37:31.2 UT)


        --------------------------------------------------------------------------- 
                    Gamma = -0.4480            Ephemerides = VSOP87/ELP2000-82
        Eclipse Magnitude =  0.9734           Lunation No. =     652
                       ΔT =    98.5 s         Saros Series =  135 (41/71)

        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. = 12h02m27.0s         Moon:      R.A. = 12h01m56.4s
                   Dec. =-00°15'55.6"                    Dec. =-00°39'49.4"
          Semi-Diameter =    15'56.2"           Semi-Diameter =    15'17.9"
            Eq.Hor.Par. =       08.8"             Eq.Hor.Par. =  0°56'08.8"

        --------------------------------------------------------------------------- 
        Polynomial Besselian Elements for:   2052 Sep 22   00:00:00.0 TDT  (=t0)

          n        x          y         d          l1         l2          μ

          0   0.038311  -0.482677   -0.26991   0.557844   0.011649  181.92548
          1   0.5034739 -0.1610953  -0.015825  0.0001075  0.0001069  15.004863
          2  -0.0000157  0.0000292   0.000000 -0.0000106 -0.0000106
          3  -0.0000064  0.0000020

                         Tan ƒ1 = 0.0046598    Tan ƒ2 = 0.0046366

        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 135:  Member 41 of 71 eclipses in series.

Annular Solar Eclipse of 2052 Sep 22

Acknowledgments

Predictions for the Annular Solar Eclipse of 2052 Sep 22 were generated using the VSOP87/ELP2000-82 solar and lunar ephemerides and a value of ΔT = 98.5 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