Tethys as imaged by Cassini on 11 April 2015

Tethys as imaged by Cassini on 11 April 2015

Tethys' (Saturn’s satellite) Mean Surface Temperature Calculation

Tethys' (Saturn’s satellite) Surface Mean Temperature Equation Te.tethys is:

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

Tethys’ orbital period is 1,887 802 days

Tethys’ sidereal rotation period is synchronous 1,887 802 days

N = 1/1,887 802 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 Tethys

So = 1.362 W/m² is Solar constant

Tethys’ albedo, atethys = 0,80 ± 0,15 (bond)

Let’s assume atethys = 0,70

Tethys is a heavy cratered planet, Tethy’s surface irradiation accepting factor Φtethys = 1

Cp.tethys = 1 cal/gr oC , Tethys’ surface is ice crust

The density of Tethys is 0.98 g/cm³, indicating that it is composed almost entirely of water-ice.

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:

Tethys’ mean surface temperature equation Tmean.tethys is:

Tmean.tethys = {1*(1-0,70)1.362*0,01089(W/m²) [150*(1/1,887802)*1]¹∕ ⁴ /4*5,67*10⁻⁸(W/m²K⁴) }¹∕ ⁴ = 87,48 K

Tmean.tethys = 87,48 K is the calculated.

And below is the measured by satellites

Tsat.tethys = 86 ± 1 K

Saturn: Pictured in natural color approaching equinox, photographed by Cassini in July 2008; the dot in the bottom left corner is Titan.

Saturn: Pictured in natural color approaching equinox, photographed by Cassini in July 2008; the dot in the bottom left corner is Titan.

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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 ← Tmax

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