5. Ganymede’s (Jupiter’s satellite) Mean Surface Temperature Calculation
Tmean.ganymede
So = 1.362 W/m² (So is the Solar constant)
Ganymede’s albedo: aganimede = 0,43 ± 0,02
Let's have aganimede = 0,41
Ganymede is a rocky planet without atmosphere, Ganymede’s surface irradiation accepting factor Φganimede = 0,47
σ = 5,67*10⁻⁸ W/m²K⁴, the Stefan-Boltzmann constant
β = 150 days*gr*oC/rotation*cal – it is the Planet Surface Solar Irradiation INTERACTING-Emitting Universal Law constant
Ganymede’s surface consists of water ice crust
Cp.ganymede = 1 cal/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 Ganymede
Ganymede’s orbital period is 7,15455 days
Ganymede’s sidereal rotation period is synchronous
N = 1/7,15455 rotations /per day
Ganymede’s mean surface temperature equation Tmean.ganymede is:
Tmean.ganymede = [ Φ (1-a) So (1/R²) (β*N*cp)¹∕ ⁴ /4σ ]¹∕ ⁴
Τmean.ganymede = { 0,47(1-0,41)1.362 W/m² *0.0369*[150*(1/7,15455)*1]¹∕ ⁴ /4*5,67*10⁻⁸ W/m²K⁴ }¹∕ ⁴ =
= (131.488.426,14)¹∕ ⁴ = 107,08 K
Tmean.ganymede = 107,08 K
Tsat.mean.ganymede = 110 K (- 163 oC)
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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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