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

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### 10. Rhea’s (Saturn’s satellite) Effective Temperature Calculation

10. Rhea’s (Saturn’s satellite) Effective Temperature Calculation:

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

Rhea’s albedo: arhea = 0,949 (geometric)

1/R² = 1/9,04² = 1/81 = 0,01234567

Rhea is a heavy cratered planet, so the Φ = 1

cp.rhea = 1 cal/gr*oC

Rhea’s sidereal rotation period is 4,518212 days

Rhea performs N = 1/4,518212 rotations /per day, 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

Rhea’s effective temperature Te.rhea is

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

Τe.rhea = { 1*(1-0,949)*1.362 W/m² *0.01234*[150*(1/4,518212)*1]¹∕ ⁴ /4*5,67*10⁻⁸ W/m²K⁴ }¹∕ ⁴

Te.rhea = 54,881 K

The temperature on Rhea is 99 K (−174 °C) in direct sunlight and between 73 K (−200 °C) and 53 K (−220 °C) in the shade. We don’t have data for the Rhea’s Bond albedo. We have data only for Rhea’s Geometric albedo: arhea = 0,949 (geometric)

But such a high albedo doesn’t leave enough sunlight in our formula; therefore the Planet- Without-Atmosphere Effective Temperature Formula is based on the Bond Albedo and not on Geometric Albedo.

Tsat.rhea = min 53 K, max 99 K