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

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### 7. Europa’s (Jupiter’s satellite) Effective Temperature Calculation

7. Europa’s (Jupiter’s satellite) Effective Temperature Calculation:

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

Europa’s albedo: aeuropa = 0,63

As we know the strong reflectors are poor emitters. But it is not the case for Europa. Europa is an ice crust planet, and we know for sure that ice is not a poor emitter,

ε = 0,90

(1/0,90)¹∕ ⁴ = 1,027

Europa is an ice-crust planet (rocky) without atmosphere, Europa’s surface irradiation accepting factor Φeuropa = 0,47

Europa’s surface consists of water ice crust

Cp.europa = 1cal/gr*oC

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

Europa’s orbital period is 3,5512 d

Europa’s sidereal rotation period is synchronous

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

Europa’s effective temperature Te.europa is:

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

Τe.europa = { 0,47(1-0,63)1.362 W/m² *0.0369*[150* (1/3,5512)*1]¹∕ ⁴ /4*5,67*10⁻⁸ W/m²K⁴}¹∕ ⁴

Te.europa = 99,557 K

Tsat.mean.europa = 102 K (- 171 oC)

As we know the strong reflectors are poor emitters. But it is not the case for Europa. Europa is an ice crust planet, and we know for sure that ice is not a poor emitter,

ε = 0,90

(1/0,90)¹∕ ⁴ = 1,027

(Te.europa = 99,557 K * 1,027 = 102,214 K)