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

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### 9. Titan’s (Saturn’s satellite) Without-Atmosphere Effective Temperature Calculation

9. Titan’s (Saturn’s satellite) Without-Atmosphere Effective Temperature Calculation:

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

Titan’s albedo: atitan = 0,22

1/R² = 1/9,04² = 1/81 = 0,01234567

Titan’s sidereal rotation period is 15,9 days

Titan does N = 1/15,9 rotations per day (synchronous rotation)

Titan is a rocky planet, it has atmosphere of 95% N2 and 5% CH4, but very opaque. Titan’s atmosphere is 8 times larger with respect to square meter planet’s surface compared to Earth, so we consider Titan a gaseous planet and Titan’s surface irradiation accepting factor Φtitan = 1.

Titan can be considered as a liquid methane ocean planet,

Cp.methane = 0,4980 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

Titan-Without-Atmosphere effective temperature Te.titan is

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

Τe.titan = { 1*(1-0,22)*1.362 W/m² *0.01234*[150 *(1/15,945)*0,4980]¹∕ ⁴ /4*5,67*10⁻⁸ W/m²K⁴ }¹∕ ⁴ =

Te.titan = 96,03 K

Tsat.mean.titan = 93,7 K (- 179,5 oC)

Titan has an atmosphere of 95% N2 nitrogen plus 5% of greenhouse gas methane CH4. Titan has a minor greenhouse effect phenomenon. This phenomenon is so insignificant that it hasn't appeared in calculations.