### 4. Mercury’s Effective Temperature calculation

**Te.mercury**

**Surface temp..Tmin..Tmean..Tmax**

** Kelvin...........100.K...340.K...700.K**

**N = 1/58,646 rotations/per day, Planet Mercury completes one rotation around its axis in 58,646 days.**

**Mercury average distance from the sun is R=0,387AU. The solar irradiation on Mercury is (1/R)² = (1AU/0,387AU)²= 2,584²= 6,6769 times stronger than that on Earth.**

**Mercury’s albedo is: a mercury = 0,088**

**Mercury is a rocky planet, Mercury’s surface irradiation accepting factor: Φ mercury = 0,47**

**Cp.mercury = 0,19cal/gr oC, Mercury’s surface is considered as a dry soil**

**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**

**So = 1.362 W/m² the Solar constant**

**Mercury’s Effective Temperature Complete Formula is:**

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

**Planet Mercury’s effective temperature Te.mercury is:**

**Te.mercury = { 0,47(1-0,088) 1.362 W/m²*6,6769*[150* (1/58,646)*0,19]¹∕ ⁴ /4*5,67*10⁻⁸ W/m²K⁴ }¹∕ ⁴ =**

**Te.mercury = 346,11 K**

**The calculated Mercury’s Effective Temperature Te.mercury = 346,11 K is only 1,80% higher than the measured by satellites**

**Tsat.mean.mercury = 340 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 ← T↓max**

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### Mars' Effective Temperature calculation

** Te.mars**

**Surface temp..Tmin..Tmean..Tmax**

** Kelvin..........130.K...210.K...308.K**

**(1/R²) = (1/1,524²) = 1/2,32**

**Mars has 2,32 times less solar irradiation intensity than Earth has**

**Mars’ albedo: a mars = 0,25**

**N = 0,9747 rotations/per day, Planet Mars completes one rotation around its axis in 24 hours 37 min. 22 s.**

**Mars is a rocky planet, Mars’ surface solar irradiation accepting factor: Φ mars = 0,47**

**cp.mars = 0,18 cal/gr oC, on Mars’ surface is prevalent the iron oxide**

**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**

**So = 1.362 W/m² the Solar constant**

**Mar’s Effective Temperature Complete Formula is:**

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

**Planet Mars’ Effective Temperature Te.mars is:**

**Te.mars = [ 0,47 (1-0,25) 1.362 W/m²*(1/2,32)*(150*0,9747)¹∕ ⁴ /4*5,67*10⁻⁸ W/m²K⁴ ]¹∕ ⁴ = 213,21 K**

** Te.mars = 213,21 **

**The calculated Mars’ effective temperature Te.mars = 213,21 K is only by 1,53 % higher than that measured by satellites**

**Tsat.mean.mars = 210 K !**

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