Besseliam Elements for Annular Solar Eclipse of 2043 Oct 03 (original) (raw)

Fred Espenak

The following table contains the Besselian elements for the Annular Solar Eclipse of 2043 Oct 03 .

The geographic coordinates of the eclipse path are listed in the . The global visibility of the eclipse is shown on an Orthographic Map. The path of the eclipse is displayed in greater detail on an Google Map.

Besselian Elements for the Annular Solar Eclipse of 2043 Oct 03

Non-Central Eclipse

        Equatorial Conjunction:     04:05:53.3 TDT     J.D. = 2467525.670755
          (Sun & Moon in R.A.)    (=04:04:26.5 UT)

         Ecliptic Conjunction:      03:13:23.1 TDT     J.D. = 2467525.634295
         (Sun & Moon in Ec. Lo.)  (=03:11:56.3 UT)

              Instant of            03:01:48.3 TDT     J.D. = 2467525.626253
           Greatest Eclipse:      (=03:00:21.5 UT)


        --------------------------------------------------------------------------- 
                    Gamma = -1.0102            Ephemerides = VSOP87/ELP2000-85
        Eclipse Magnitude =  0.9497           Lunation No. =     541
                       ΔT =    86.7 s         Saros Series =  154 ( 8/71)

        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/ELP2000-85):

        Sun:       R.A. = 12h36m02.9s         Moon:      R.A. = 12h34m15.0s
                   Dec. =-03°53'04.7"                    Dec. =-04°41'56.9"
          Semi-Diameter =    15'58.8"           Semi-Diameter =    15'05.1"
            Eq.Hor.Par. =       08.8"             Eq.Hor.Par. =  0°55'21.7"

        --------------------------------------------------------------------------- 
        Polynomial Besselian Elements for:   2043 Oct 03   03:00:00.0 TDT  (=t0)

          n        x          y         d          l1         l2          μ

          0  -0.500371  -0.877678   -3.88200   0.562589   0.016369  227.70959
          1   0.4556448 -0.2505056  -0.015498  0.0001013  0.0001008  15.004378
          2   0.0000178  0.0000629   0.000001 -0.0000103 -0.0000103
          3  -0.0000056  0.0000032

                         Tan ƒ1 = 0.0046723    Tan ƒ2 = 0.0046490

        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 =  3.000 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  0.00 ≤ t0 ≤  6.00 TDT.

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

               Saros Series 154:  Member  8 of 71 eclipses in series.

Eclipse Predictions

Predictions for the Annular Solar Eclipse of 2043 Oct 03 were generated using the VSOP87/ELP2000-85solar and lunar ephemerides and a value of ΔT = 86.7 seconds. The luanr coordinates have been calculated with respect to the Moon's Center of Mass. They DO NOT include a correction to the Center of Figure, or the effects of mountains and valleys along the edge of the Moon.

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