The planet corrected effective temperature equation Te = [ Φ (1-a) S / 4 σ ]¹∕ ⁴
We know, that the on the smooth without atmosphere planet's surface the "absorbed" incident solar flux fraction is Φ (1 - a) S.
Φ (1 - a) S - is what is left to "absorb".
Φ (1 - a) S - is the basis for estimating the planet's theoretical uniform emission temperature.
Te - is the planet's emission temperature calculated by the improved equation:
Te = [ Φ (1-a) S / 4 σ ]¹∕ ⁴
here:
a - is the planet's surface average albedo
Φ - is the spherical surface solar irradiation accepting factor
S - is the solar flux W/m²
σ = 5,67*10⁻⁸ W/m²K⁴, the Stefan-Boltzmann constant
Φ (1 - a) S - is the "absorbed" fraction of the solar flux
(1 - Φ + Φ*a) S - is the reflected fraction of the solar flux
Planet ......Te........ Tmean...... Tsat......... N
............emission equation measured rot /day
.........theoretical..... new.... from orbit
Mercury.. 364 K.... 325,83 K.. 340 K... 1 /176
Earth....... 211 K.... 287,74 K.. 288 K....... 1
Moon .......224 Κ.... 223,35 Κ.. 220 Κ.... 1 /29,5
Mars ........174 K.... 213,21 K.. 210 K .......1
And we observe here that Te is depended only on solar flux and albedo, but with the same Φ = 0,47 gradually subsides from Mercury to Mars from 364 K to 174 K.
Eath and Moon, having the same solar flux, have different Te because Earth has a higher than Moon albedo.
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