User:GabrielVelasquez/Solar Constant Formula

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Yes that's my artistry. GDV
Yes that's my artistry. GDV

[edit] Some non-original-research using known values and basic algebra:

I disagree that the figure for the Earth's Solar constant at Solar Constant are accurate,
I've read various different quotations of the value in texts and on the net. A little accuracy wouldn't hurt:
R= 6.955e8 m (Sun's radius)
T= 5778 °K (Sun's photosphere or Effective temperature)
a= 5.67051e-8 (Stefan-Boltzmann Constant)
d= 149597876600 meters (Earth's average distance, Mariner 10), 1 AU
f= flux or Insolation.
L= 4pi·R2aT4
L = 4pi·d2f
Since both Luminosity formulas equal 3.84181e26 Watts for the Sun and Earth,
then 4pi·R2aT4 = 4pi·d2f
Therefore, f=(R2aT4) / d2
Then ((6.955e8 m)2 (5.67051e-8) (5778°K)4) / (149597876600)2 = 1366.0785 W/m2
(Which is only off by 0.1333% the so called satellite measured solar constant.)
This is the average. If you factor in the Earths's eccentricity (0.016710219), then the range is 1321.5430 W/m2 to 1412.9039 W/m2


code for Gliese 581 c at Perihelion:
f_p= \frac{( (0.38 \times 6.955 \times 10^8 )^2 ) \times (5.67051 \times 10^{-8}) \times (3480^4)} { ( ( 0.073 - ( 0.073 \times 0.16 ) ) \times 149597876600 )^2 }