Besselian Elements for Annular Solar Eclipse of 2078 Nov 04 (original) (raw)

Fred Espenak

The following table contains the Besselian elements for the Annular Solar Eclipse of 2078 Nov 04 .

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 2078 Nov 04

        Equatorial Conjunction:     17:07:32.6 TDT     J.D. = 2480342.213571
          (Sun & Moon in R.A.)    (=17:04:58.4 UT)

         Ecliptic Conjunction:      16:58:29.8 TDT     J.D. = 2480342.207289
         (Sun & Moon in Ec. Lo.)  (=16:55:55.6 UT)

              Instant of            16:55:44.4 TDT     J.D. = 2480342.205375
           Greatest Eclipse:      (=16:53:10.2 UT)


        --------------------------------------------------------------------------- 
                    Gamma = -0.2285            Ephemerides = VSOP87/ELP2000-82
        Eclipse Magnitude =  0.9255           Lunation No. =     975
                       ΔT =   154.2 s         Saros Series =  144 (20/70)

        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. = 14h40m53.9s         Moon:      R.A. = 14h40m33.5s
                   Dec. =-15°38'07.7"                    Dec. =-15°49'24.7"
          Semi-Diameter =    16'07.5"           Semi-Diameter =    14'42.4"
            Eq.Hor.Par. =       08.9"             Eq.Hor.Par. =  0°53'58.5"

        --------------------------------------------------------------------------- 
        Polynomial Besselian Elements for:   2078 Nov 04   17:00:00.0 TDT  (=t0)

          n        x          y         d          l1         l2          μ

          0  -0.058130  -0.223882  -15.63582   0.572819   0.026549   79.12265
          1   0.4623883 -0.2006119  -0.012184  0.0000200  0.0000199  15.000938
          2   0.0000373  0.0000970   0.000003 -0.0000098 -0.0000098
          3  -0.0000051  0.0000024

                         Tan ƒ1 = 0.0047151    Tan ƒ2 = 0.0046916

        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 = 17.000 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 14.00 ≤ t0 ≤ 20.00 TDT.

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

               Saros Series 144:  Member 20 of 70 eclipses in series.

Annular Solar Eclipse of 2078 Nov 04

Acknowledgments

Predictions for the Annular Solar Eclipse of 2078 Nov 04 were generated using the VSOP87/ELP2000-82 solar and lunar ephemerides and a value of ΔT = 154.2 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