![Enceladus: View of trailing hemisphere in natural color[a]](https://impro.usercontent.one/appid/oneComWsb/domain/cristos-vournas.com/media/cristos-vournas.com/onewebmedia/i285978589388818868.jpg?etag=%221b68c-5db44839af051%22&sourceContentType= "Enceladus: View of trailing hemisphere in natural color[a]")
Enceladus: View of trailing hemisphere in natural color[a]
Enceladus (Saturn’s satellite) Mean Surface Temperature Calculation
Enceladus (Saturn’s satellite) Mean Surface Temperature Equation Tmean.enceladus is:
Tmean.enceladus=[Φ (1-a) So (1/R²) (β*N*cp)¹∕ ⁴ /4σ]¹∕ ⁴
Enceladus’ orbital period is 1,370218 days
Enceladus’ sidereal rotation period is synchronous 1,370218 days
N = 1/1,370218 rotations/per day
R = 9,5826 AU, 1/R² = 1/9,5826² = 0,01089 times lesser is the solar irradiation on Saturn than that on Earth. The same is on Saturn’s satellite Enceladus
So = 1.361 W/m² is Solar constant
Enceladus’ albedo, aenceladus = 0,81 ± 0,04 Bond
Let's have aenceladus =0,85
Enceladus is a heavy cratered planet, Enceladus’s surface irradiation accepting factor Φenceladus = 1
Cp.enceladus = 1 cal/gr oC , Enceladus surface is mostly covered by fresh, clean ice.
Enceladus is mostly covered by fresh, clean ice, making it one of the most reflective bodies of the Solar System. Consequently, its surface temperature at noon only reaches −198 °C (−324 °F), far colder than a light-absorbing body would be. Despite its small size, Enceladus has a wide range of surface features, ranging from old, heavily cratered regions to young, tectonically deformed terrains.
β = 150 days*gr*oC/rotation*cal – it is the Rotating Planet Surface Solar Irradiation INTERACTING-Emitting Universal Law constant
σ = 5,67*10⁻⁸ W/m²K⁴, a Stefan-Boltzmann constant
So we have:
ENCELADUS' mean surface temperature equation Tmean.enceladus is:
Tmean.enceladus=[Φ (1-a) So (1/R²) (β*N*cp)¹∕ ⁴ /4σ]¹∕ ⁴
Let's substitute and calculate
Tmean.enceladus = {1*(1-0,85)1.361*0,01089(W/m²) [150*(1/1,370218)*1]¹∕ ⁴ /4*5,67*10⁻⁸(W/m²K⁴) }¹∕ ⁴ = 75,06 K
Tmean.enceladus = 75,06 K is the calculated.
And below is the measured by satellites
Tsat.mean.enceladus = 75 K
Saturn: Pictured in natural color approaching equinox, photographed by Cassini in July 2008.
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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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