# Besselian Elements for the Total Solar Eclipse of 2077 May 22

## Fred Espenak

The following table contains the Besselian elements for the Total Solar Eclipse of 2077 May 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 Total Solar Eclipse of  2077 May 22
Equatorial Conjunction:     02:27:00.9 TDT     J.D. = 2479810.602093
(Sun & Moon in R.A.)    (=02:24:29.9 UT)

Ecliptic Conjunction:      02:40:02.9 TDT     J.D. = 2479810.611145
(Sun & Moon in Ec. Lo.)  (=02:37:32.0 UT)

Instant of            02:46:05.3 TDT     J.D. = 2479810.615339
Greatest Eclipse:      (=02:43:34.3 UT)

---------------------------------------------------------------------------
Gamma = -0.5725            Ephemerides = VSOP87/ELP2000-82
Eclipse Magnitude =  1.0290           Lunation No. =     957
ΔT =   150.9 s         Saros Series =  129 (55/80)

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. = 03h58m18.6s         Moon:      R.A. = 03h59m01.0s
Dec. =+20°29'25.5"                    Dec. =+19°57'18.3"
Semi-Diameter =    15'48.1"           Semi-Diameter =    16'02.6"
Eq.Hor.Par. =       08.7"             Eq.Hor.Par. =  0°58'52.8"

---------------------------------------------------------------------------
Polynomial Besselian Elements for:   2077 May 22   03:00:00.0 TDT  (=t0)

n        x          y         d          l1         l2          μ

0   0.293125  -0.508478   20.49352   0.542209  -0.003909  225.80885
1   0.5331974  0.1652242   0.007674  0.0001046  0.0001041  15.000512
2   0.0000110 -0.0001093  -0.000005 -0.0000117 -0.0000117
3  -0.0000079 -0.0000026

Tan ƒ1 = 0.0046192    Tan ƒ2 = 0.0045962

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 129:  Member 55 of 80 eclipses in series.

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