The Planet Mean Surface Temperature Equation: Tmean=[Φ(1-a)S(β*N*cp)¹∕ ⁴ /4σ]¹∕ ⁴

Planet 5261 Eureka’s ( Mars’ Trojan ) Mean Surface Temperature Tmean Equation

Tmean.eureka

(1/R²) = (1/1,524²) = 1/2,32

Eureka has 2,32 times less solar irradiation intensity than Earth has

Eureka’s albedo: aeureka = 0,39 geom. ( not bond )

N = (24h /2,6902h) rotations/per day, Eureka completes one rotation around its axis in 2,6902 hours (0,11209 day)

Eureka is a rocky planet, Eureka’s surface irradiation accepting factor: Φeureka = 0,47

cp.eureka = 0,203cal/gr oC, on Eureka’s surface is rock

β = 150 days*gr*oC/rotation*cal – it is a Rotating Planet Surface Solar Irradiation Absorbing-Emitting Universal Law constant

σ = 5,67*10⁻⁸ W/m²K⁴, the Stefan-Boltzmann constant

Eureka’s Mean Surface Temperature Equation is:

 

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

Tmean.eureka = [ 0,47 (1-0,39) 1.362 W/m²*(1/2,32)*[150*(24h /2,6902h)*0,203 ]¹∕ ⁴ /4*5,67*10⁻⁸ W/m²K⁴ ]¹∕ ⁴ =

Tmean.eureka = 234,28 K

Tsat. eureka ~ 250 K.

 

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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 ← Tmax