### 1. Earth’s Without-Atmosphere Mean Surface Temperature calculation Tmean.earth

**Tmean.earth**

**So = 1.361 W/m² (So is the Solar constant)**

** S (W/m²) is the planet's solar flux. ****For Earth S = So **

**Earth’s albedo: a earth = 0,306 **

**Earth is a smooth rocky planet, Earth’s surface solar irradiation accepting factor Φ earth = 0,47 **

**(Accepted by a Smooth Hemisphere with radius r sunlight is S*Φ*π*r²(1-a), where Φ = 0,47)**

** β = 150 days*gr*oC/rotation*cal – is a Rotating Planet Surface Solar Irradiation Absorbing-Emitting Universal Law constant **

**N = 1 rotation /per day, is Earth’s axial spin **

**cp. earth = 1 cal/gr*oC, it is because Earth has a vast ocean.**

** Generally speaking almost the whole Earth’s surface is wet. We can call Earth a Planet Ocean.**

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

** Earth’s Without-Atmosphere Mean Surface Temperature Equation Tmean.earth is: **

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

**Τmean.earth = [ 0,47(1-0,306)1.361 W/m²(150 days*gr*oC/rotation*cal *1rotations/day*1 cal/gr*oC)¹∕ ⁴ /4*5,67*10⁻⁸ W/m²K⁴ ]¹∕ ⁴ = **

**Τmean.earth = [ 0,47(1-0,306)1.361 W/m²(150*1*1)¹∕ ⁴ /4*5,67*10⁻⁸ W/m²K⁴ ]¹∕ ⁴ = **

**Τmean.earth = ( 6.854.905.906,50 )¹∕ ⁴ = 287,74 K **

**Tmean.earth = 287,74 Κ**

** And we compare it with the Tsat.mean.earth = 288 K, measured by satellites. **

**These two temperatures, the calculated one, and the measured by satellites are almost identical. **

**Conclusions: **

**The mean surface temperature equation**

** Tmean = [ Φ (1-a) S (β*N*cp)¹∕ ⁴ /4σ ]¹∕ ⁴ produces remarkable results. **

**The calculated planets temperatures are almost identical with the measured by satellites.**

** Planet…........Te............Tmean….Tsat.mean**

** Mercury....439,6 K…….325,83 K…..340 K**

** Earth……...255 K…......287,74 K…..288 K**

** Moon……..270,4 Κ……..223,35 Κ…..220 Κ**

** Mars……209,91 K……..213,21 K…..210 K**

** The 288 K – 255 K = 33 oC difference does not exist in the real world.**

** There are only traces of greenhouse gasses. The Earth’s atmosphere is very thin. There is not any measurable Greenhouse Gasses Warming effect on the Earth’s surface.**

** There is NO +33°C greenhouse enhancement on the Earth's mean surface temperature. Both the calculated by equation and the satellite measured Earth's mean surface temperatures are almost identical: Tmean.earth = 287,74K = 288 K**

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### CONCLUSION

**The planet mean surface temperature equation is for planets WITHOUT ATMOSPHERE planet equilibrium emission concept. **

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

**When applied to the planets the equation produces remarkable results. **

**The calculated planets temperatures are almost identical with the measured by satellites.**

**Planet………Te………….Tmean…Tsat.mean**

** Mercury….439,6 K…….325,83 K…..340 K**

** Earth………255 K………287,74 K…..288 K**

** Moon……..270,4 Κ……..223,35 Κ…..220 Κ**

**Mars……209,91 K……..213,21 K…..210 K **

**The results speak for themselves – it has become possible to calculate planets mean surface temperatures very closely matching the measured by satellites. **

**When we compare the results for Planet Earth we realize that there is very small difference between the Tmean = 287,74 K and the Tsat.mean = 288 K. **

**This observation can only be attributed to the fact that there are only traces of greenhouse gasses in the Earth’s atmosphere.**

** Also the Earth’s atmosphere is very thin. There is not any significant Greenhouse Gasses Warming effect on the Earth’s surface. **

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