Solar Eclipse Search Engine
Besselian Elements - Total Solar Eclipse of 1746 September 15
Instant of 08:46:37 TDT JD = 2359030.86600
Greatest Eclipse: (=08:46:25 UT)
Gamma = -0.6948 Ephemerides = VSOP87/ELP2000-82
Eclipse Magnitude = 1.0441 Lunation No. = -3133
Eclipse Type = T Saros Series =
140
ΔT = 12.4 s
Lunar Radius k1 = 0.272488 (Penumbra) Shift in Δb = 0.00"
Constants: k2 = 0.272281 (Umbra) Lunar Position: Δl = 0.00"
Polynomial Besselian Elements for: 1746 Sep 15 9.000 TDT (=t0)
n x y d l1 l2 μ
0 -0.2235960 -0.6701430 3.0613000 0.5378640 -0.0082320 316.230286
1 0.5013333 -0.2763770 -0.0154250 -0.0000869 -0.0000865 15.004840
2 0.0000148 0.0000147 -0.0000010 -0.0000124 -0.0000124 0.000000
3 -0.0000080 0.0000046 0.0000000 0.0000000 0.0000000 0.000000
tan f1 = 0.0046546 tan f2 = 0.0046314
At time t1 (decimal hours), each Besselian element is evaluated by:
a = a0 + a1*t + a2*t2 + a3*t3
where: a = x, y, d, l1, l2, or μ; t = t1 - t0 (decimal hours), and t0 = 9.000 TDT.
Circumstances at Greatest Eclipse: 08:46:25 UT
Latitude: 34.9° S Sun’s Altitude: 45.8° Path Width = 200.5 km
Longitude: 23.0° E Sun’s Azimuth: 35.8° Central Duration = 03m23s
Eclipse Links
Predictions
The solar eclipse predictions were made using the
VSOP87/ELP2000-82
solar and lunar ephemerides.
The resulting Besselian elements from these ephemerides were originally generated for the NASA technical publication
Five Millennium Canon of Solar Eclipses: -1999 to +3000
.
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
.
For eclipses five centuries or more centuries in the past or future, the largest uncertainty in the predictions is caused by fluctuations in
Earth's rotation
due primarily to the tidal friction of the Moon.
The resultant drift in apparent clock time is expressed as
ΔT
and is is based on the work of Morrison and Stephenson [2004].
The Gregorian calendar is used for all dates from 1582 Oct 15 onwards.
Before that date, the Julian calendar is used (see
Calendar Dates
).
Acknowledgments
Besselian elements
page formatting by
Bill Kramer
.
Eclipse calculations are by Fred Espenak, and he assumes full responsibility for their accuracy.
The information presented here is based on the
Five Millennium Canon of
Solar Eclipses: -1999 to +3000 (2000 BCE to 3000 CE)
.
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
2023 Oct 30