Mercury in color
4. Mercury’s Mean Surface Temperature calculation
Tmean.mercury
Surface temp..Tmin..Tmean..Tmax
Kelvin.............100.K...340.K...700.K
N = 1/175,938 rotations/per day, planet Mercury solar day is 175,938 earth days.
Mercury's 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 = 0,068
Mercury is a rocky planet, Mercury’s surface irradiation accepting factor: Φmercury = 0,47
Cp.mercury = 0,20cal/gr oC, Mercury’s surface is considered as rock basalt
β = 150 days*gr*oC/rotation*cal – it is a Rotating Planet Surface Solar Irradiation INTERACTING-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 Mean Surface Temperature Equation is:
Tmean.mercury =[Φ (1-a) So (1/R²) (β*N*cp)¹∕ ⁴ /4σ ]¹∕ ⁴
Tmean.mercury = { 0,47 (1-0,068) 1.361 W/m²*6,6769*[150* (1/175,938)*0,20]¹∕ ⁴ /4*5,67*10⁻⁸ W/m²K⁴ }¹∕ ⁴ = (11.271.047.334,17)¹∕ ⁴ = 325,83 K
Tmean.mercury = 325,83 K
The calculated Mercury’s Surface Mean Temperature Tmean.mercury = 325,83 K is only 4,35% lower than the measured by satellites
Tsat.mean.mercury = 340 K !
The Tmean.mercury = 325,83 K is calculated for Mercury's Semi-major axis which is 0,387 AU.
But half of the time, Mercury comes closer to the sun at its Perihelion of 0,307 AU.
The fact Mercury's orbit has high eccentricity e = 0,205 partly explains the difference between the calculated Tmean.mercury = 325,83 K and the measured Tsat = 340 K .
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Link:
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Surface temp. min mean max
0°N, 0°W [13] -173 °C 67 °C 427 °C
85°N, 0°W[13] -193 °C -73 °C 106.85 °C
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Mercury’s mean surface temperature 67 °C is: 273 °C + 67 °C = 340 K.
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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 ← T↓max
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