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

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Mercury's Effective temperature calculation Te.mercury = 364,05 K

Mercury's Effective Temperature is Te.mercury = 362,01 Κ

To calculate Mercury's Effective Temperature we should use the following data values

Mercury's (semi-major axis) - the 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 average surface albedo is:

amercury = 0,068

Mercury is a rocky planet, Mercury’s surface irradiation accepting factor:

Φmercury = 0,47

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

So = 1.361 W/m² the Solar constant

 

Mercury’s Effective Temperature Equation is:

 

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

 

Te.mercury = [ 0,47 (1-0,068) 1.361 W/m²*6,6769 /4*5,67*10⁻⁸ W/m²K⁴ ]¹∕ ⁴ =

Te.mercury = [ 0,47 (0,932) 1.361 W/m²*6,6769 /4*5,67*10⁻⁸ W/m²K⁴ ]¹∕ ⁴ =

= (17.563.970.519,89)¹∕ ⁴ = 364,05 K

Te.mercury = 364,05 K

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