A Planet Effective Temperature Complete Formula Te = [ Φ (1-a) S (β*N*cp)¹∕ ⁴ /4σ ]¹∕ ⁴

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12. Pluto’s (dwarf planet) Effective Temperature Calculation

12. Pluto’s (dwarf planet) Effective Temperature Calculation:

So = 1.362 W/m² (So is the Solar constant)

Pluto’s albedo: apluto = 0.49 to 0.66 (geometric) Let’s have apluto = 0.50

1/R² = 1/39,48² = 1/1.558 = 0,0006418

Pluto’s sidereal rotation period is 6,38723 days

Pluto does N = 1/6,38723 rotations/ per day

Pluto is a rocky planet, and Pluto’s surface irradiation accepting factor Φpluto = 0,47.

Pluto's surface is composed of more than 98 percent nitrogen ice.  

Pluto can be considered as a nitrogen crust surface planet,

Cp.nitrogen N2 = 0,24845 cal/gr*oC

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

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

Surface temp.    min          mean               max  

Kelvin                 33 K     44 K (−229 °C)    55 K

Pluto’s effective temperature Te.pluto is: 

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

Τe.pluto = { 1*(1-0,50)*1.362 W/m² *0,0006418*[150 *(1/6,38723)* 0,24845]¹∕ ⁴ /4*5,67*10⁻⁸ W/m²K⁴ }¹∕ ⁴ =

Te.pluto = 41,60 K

Tsat.mean.pluto = 44 K (- 229 oC)