Tmean.io

So = 1.361 W/m² (So is the Solar constant)

Io’s albedo: aio = 0,63

Io is a rocky planet without atmosphere heavy cratered, Io’s surface irradiation accepting factor Φio = 1 

Most of Io's surface is composed of  sulfur and sulfur dioxide frost.

Cp.sulfur = 0,17 cal/gr.oC, Cp.sulfur.dioxide = 0,12 cal/gr.oC 

cp.io = 0,17 cal/gr.oC *0,5 + 0,12 cal/gr.oC *0,5 =

cp.io = 0,145 cal/gr.oC

β = 150 days*gr*oC/rotation*cal – it is the Planet Surface Solar Irradiation INTERACTING-Emitting Universal Law constant

σ = 5,67*10⁻⁸ W/m²K⁴, the Stefan-Boltzmann constant

1/R² = 1/5,2044² = 0,0369 times lesser is the solar irradiation on Jupiter than that on Earth, the same on its satellite Io.

Io’s orbital period is 1,799 days. Io’s sidereal rotation period is synchronous.

N = 1/1,799 rotations/per day

IO'S MEAN SURFACE TEMPERATURE EQUATION Tmean.io is:

Tmean.io = [ Φ (1-a) So (1/R²) (β*N*cp)¹∕ ⁴ /4σ ]¹∕ ⁴

Τmean.io = { 1*(1-0,63)1.361 W/m² *0.0369*[150*(1/1,799)*0,145]¹∕ ⁴ /4*5,67*10⁻⁸ W/m²K⁴ }¹∕ ⁴ = 111,55 K

Tmean.io = 111,55 K is the calculated

And the satellite measured is almost identical

Tsat.mean.io = 110 K (- 163 oC)

https://en.wikipedia.org/wiki/Io_%28moon%29