### 4. Mercury’s Effective Temperature Calculation

**4. Mercury’s Effective Temperature Calculation:**

**Te.mercury**

**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: amercury = 0,088**

**Mercury is a rocky planet, Mercury’s surface irradiation accepting factor: Φmercury = 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 !**