Besseliam Elements for the Annular Solar Eclipse of 2020 Jun 21

Fred Espenak

The following table contains the Besseliam elements for the Annular Solar Eclipse of 2020 Jun 21 .

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 .

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Besselian Elements for the Annular Solar Eclipse of  2020 Jun 21
            Equatorial Conjunction:     06:42:34.5 TDT     J.D. = 2459021.779565
              (Sun & Moon in R.A.)    (=06:41:25.1 UT)

             Ecliptic Conjunction:      06:42:36.6 TDT     J.D. = 2459021.779591
             (Sun & Moon in Ec. Lo.)  (=06:41:27.3 UT)

                  Instant of            06:41:15.4 TDT     J.D. = 2459021.778650
               Greatest Eclipse:      (=06:40:06.0 UT)


            --------------------------------------------------------------------------- 
                        Gamma =  0.1209            Ephemerides = JPL DE405
            Eclipse Magnitude =  0.9940           Lunation No. =     253
                           ΔT =    69.4 s         Saros Series =  137 (36/70)

            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. = 06h01m33.0s         Moon:      R.A. = 06h01m30.2s
                       Dec. =+23°26'09.7"                    Dec. =+23°32'56.7"
              Semi-Diameter =    15'44.2"           Semi-Diameter =    15'24.0"
                Eq.Hor.Par. =       08.7"             Eq.Hor.Par. =  0°56'31.1"

            --------------------------------------------------------------------------- 
            Polynomial Besselian Elements for:   2020 Jun 21   07:00:00.0 TDT  (=t0)

              n        x          y         d          l1         l2          μ

              0   0.154260   0.136404   23.43567   0.552336   0.006148  284.53555
              1   0.5311528  0.0513871  -0.000233 -0.0001223 -0.0001217  14.999111
              2   0.0000258 -0.0001609  -0.000006 -0.0000107 -0.0000107
              3  -0.0000069 -0.0000008

                             Tan ƒ1 = 0.0046009    Tan ƒ2 = 0.0045780

            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 =  7.000 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  4.00 ≤ t0 ≤ 10.00 TDT.

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

                   Saros Series 137:  Member 36 of 70 eclipses in series.

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   Instant of 
Greatest Eclipse:       Time =  06:40:06.0 UT       Lat = 30°31.2'N      Long = 079°39.9'E
      (GE)               Sun Altitude =  82.9°          Path Width =  21.2 km
                          Sun Azimuth = 174.2°    Central Duration =   00m38.2s


   Instant of 
Greatest Duration:      Time =    04:48:28 UT       Lat =   01°16'N      Long =   017°48'E
      (GD)               Sun Altitude =   0.0°          Path Width =  85.2 km
                          Sun Azimuth =  66.6°    Central Duration =   01m22.4s

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Additional Links: Annular Solar Eclipse of 2020 Jun 21

• Orthographic Map
• Google Map
• Animated Map
• Path Table
• Besselian Elements Table
• Saros 137 Table

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Eclipse Predictions

Predictions for the Annular Solar Eclipse of 2020 Jun 21 were generated using the JPL DE405 solar and lunar ephemerides and a value of ΔT = 69.4 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

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Solar Eclipse Links

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• Five Millennium Catalog of Solar Eclipses: -1999 to +3000 - tables and maps for all eclipses over 5,000 years
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• Javascript Solar Eclipse Explorer - calculate all solar eclipses visible from a city