The 288 K - 255 K = 33°C difference does not exist
Earth’s Without-Atmosphere Effective Temperature Complete Formula Te.earth is:
Te.earth = [ Φ (1-a) So (β*N*cp)¹∕⁴ /4σ ]¹∕⁴
Τe.earth = [0,47(1-0,30)1.362 W/m²(150 days*gr*oC/rotation*cal *1rotations/day*1 cal/gr*oC)¹∕⁴ /4*5,67*10⁻⁸ W/m²K⁴]¹∕⁴ =
Τe.earth = [0,47(1-0,30)1.362 W/m²(150*1*1)¹∕⁴ /4*5,67*10⁻⁸W/m²K⁴]¹∕⁴ =
Te.earth = 288,36 Κ
And we compare it with the
Tsat.mean.earth = 288 K, measured by satellites.
Those two temperatures, the calculated one, and the measured by satellites are almost identical.
When I saw the Earth’s both measured by satellites and calculated with Formula temperatures being 288 K, I felt extremely well and satisfied.
It was a nice feeling. It was a discovery, it worked and it was promising sigh, and the 33°C difference did not exist.
The Tsat.mean.earth - Te.earth = 288 K - 255 K = 33°C difference does not exist.
The first thing I had to do was to check the Complete Formula on some other planets. And it didn’t take me too long to realize that a Planet-Without-Atmosphere Effective Temperature Complete Formula was working on all the planets and moons without atmosphere in the solar system.
I dare to assume now that this Formula works for all planets and moons without atmosphere in the whole universe…
Te = [ Φ (1-a) S (β*N*cp)¹∕⁴ /4σ ]¹∕⁴ (1)
A Planet Effective Temperature Complete Formula succesfully calculates planet's effective temperature.
The faster a planet rotates (n2>n1) the higher is the planet’s average (mean) temperature T↑mean:
Tmin↑→ T↑mean ← T↓max