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

**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 planet 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****…......****2****87,74 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 the whole 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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**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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