Besselian Elements for Total Solar Eclipse of 2068 May 31 (original) (raw)

Fred Espenak

The following table contains the Besselian elements for the Total Solar Eclipse of 2068 May 31 .

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 Total Solar Eclipse of 2068 May 31

        Equatorial Conjunction:     03:52:45.4 TDT     J.D. = 2476532.661637
          (Sun & Moon in R.A.)    (=03:50:34.0 UT)

         Ecliptic Conjunction:      04:05:16.2 TDT     J.D. = 2476532.670326
         (Sun & Moon in Ec. Lo.)  (=04:03:04.8 UT)

              Instant of            03:56:39.1 TDT     J.D. = 2476532.664341
           Greatest Eclipse:      (=03:54:27.7 UT)


        --------------------------------------------------------------------------- 
                    Gamma = -0.7970            Ephemerides = VSOP87/ELP2000-82
        Eclipse Magnitude =  1.0110           Lunation No. =     846
                       ΔT =   131.4 s         Saros Series =  148 (24/75)

        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. = 04h35m49.8s         Moon:      R.A. = 04h35m58.7s
                   Dec. =+22°01'14.0"                    Dec. =+21°15'11.1"
          Semi-Diameter =    15'46.5"           Semi-Diameter =    15'47.8"
            Eq.Hor.Par. =       08.7"             Eq.Hor.Par. =  0°57'58.6"

        --------------------------------------------------------------------------- 
        Polynomial Besselian Elements for:   2068 May 31   04:00:00.0 TDT  (=t0)

          n        x          y         d          l1         l2          μ

          0   0.066177  -0.794884   22.02278   0.545942  -0.000195  240.53246
          1   0.5481974  0.0244838   0.005644  0.0001158  0.0001152  14.999824
          2  -0.0000134 -0.0001118  -0.000005 -0.0000113 -0.0000113
          3  -0.0000078 -0.0000003

                         Tan ƒ1 = 0.0046118    Tan ƒ2 = 0.0045888

        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 =  4.000 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  1.00 ≤ t0 ≤  7.00 TDT.

        Note that all times are expressed in Terrestrial Dynamical Time (TDT).

               Saros Series 148:  Member 24 of 75 eclipses in series.

Total Solar Eclipse of 2068 May 31

Acknowledgments

Predictions for the Total Solar Eclipse of 2068 May 31 were generated using the VSOP87/ELP2000-82 solar and lunar ephemerides and a value of ΔT = 131.4 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