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

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The Corrected Planet Effective Temperature : Te.correct = [ Φ (1-a) S /4σ ]¹∕ ⁴

The Corrected Planet Effective Temperature : Te.correct = [ Φ (1-a) S /4σ ]¹∕ ⁴

Te - planet effective temperature

Te = [ (1-a) S /4σ ]¹∕ ⁴

Te.correct - the planet corrected effective temperature

Te.correct = [ Φ (1-a) S /4σ ]¹∕ ⁴

Φ - is the solar irradiation accepting factor Φ = 0,47 - for smooth surface planets without atmosphere Φ = 1 - for gases planets and for heavy cratered without atmosphere planets

Te.correct = [ Φ (1-a) S /4σ ]¹∕ ⁴

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

Or

Tmean = Te.correct * [ (β*N*cp)¹∕ ⁴ ]¹∕ ⁴

 

Table 1. Comparison of Predicted vs. Measured Temperature for All Planets

......................Φ..Te.correct ..[(β*N*cp)¹∕ ⁴]¹∕ ⁴..Tmean ...Tsat ................................°K ......................................°K ........°K

Mercury .....0,47....364,0 ........0,8953............. 325,83 ...340

Earth ..........0,47....211 ...........1,368.................288. ......288.

Moon ..........0,47....224 ...........0.9978...............222 .......220

Mars ...........0,47....174 ...........1,227..............213,11 .....210

Io ..................1.......95,16 ........1,169..............111,55 .....110

Europa ........0,47....78,83 ........1,2636.............99,56 .....102

Ganymede...0,47....88,59 ........1,209.............107,14 ....110

Calisto ..........1.....114,66 ........1,1471...........131,52 ....134 ±11

Enceladus .... 1 ......55,97 ........1,3411............75,06 .......75

Tethys ..........1.......66,55 .........1,3145 ...........87,48 .......86 ± 1

Titan .............1.......84,52 .........1,1015 ...........96,03 .......93,7

Pluto .............1.......37 ..............1,1164 ...........41,6 .........44

Charon .........1......41,90 ...........1,2181 ...........51,04 .......53

 

Conclusion:

We can calculate planet mean surface temperature obtaining very close to the satellite measured results.

Tmean = Te.correct * [ (β*N*cp)¹∕ ⁴ ]¹∕ ⁴

where [ (β*N*cp)¹∕ ⁴ ]¹∕ ⁴ - is the planet surface warming factor

Warming Factor = (β*N*cp)¹∕₁₆

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