9. Titan’s (Saturn’s satellite) Without-Atmosphere Mean Surface Temperature calculation
Tmean.titan
So = 1.362 W/m² (So is the Solar constant)
Titan’s albedo: atitan = 0,22
1/R² = 1/9,5826² = 1/91,826 = 0,010890
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 INTERACTING-Emitting Universal Law constant
σ = 5,67*10⁻⁸ W/m²K⁴, a Stefan-Boltzmann constant
Titan's Without-Atmosphere mean surface temperature equation Tmean.titan is
Tmean.titan = [ Φ (1-a) So (1/R²) (β*N*cp)¹∕ ⁴ /4σ ]¹∕ ⁴
Τmean.titan = { 1*(1-0,22)*1.362 W/m² *0.010890*[150 *(1/15,945)*0,4980]¹∕ ⁴ /4*5,67*10⁻⁸ W/m²K⁴ }¹∕ ⁴ =
Tmean.titan = 93,10 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.
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https://www.cristos-vournas.com
The faster a planet rotates (n2>n1) the higher is the planet’s average (mean) temperature T↑mean:
Tmin↑→ T↑mean ← T↓max
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