### Planet’s Mars Te misfortunate coincidence

**Comparison of results planet's Mars Tsat.mean.mars measured by satellites,**

**planet's Mars Te.mars.incomplete calculated,**

** and the planet's Mars Tmean calculated by the mean surface temperature equation :**

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

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

** We have here planet's Mars mean temperature measured by satellites:**

** Tsat.mean.mars = 210 K**

** calculated by incomplete:**

** Te.mars.incompl = [ (1-a) S /4 σ ]¹∕ ⁴ = 209,91 K**

** and the planet's Mars Tmean calculated by the mean surface temperature equation: **

**Tmean.mars = [ Φ (1-a) S (β* N*cp)¹∕ ⁴ /4σ]¹∕ ⁴ = 213,21 K**

** The difference between Incomplete Effective Temperature and the planet's Mars Tmean surface temperature calculation equations is:**

** *[ Φ (β* N*cp)¹∕ ⁴ ]¹∕ ⁴**

**For planet Mars we have:**

** Mars performs 1 rotation every ( 24,622hours / 24hours/day ) = 1,026 day**

** N = 1 /1,026 = 0,9747 rotations /day**

** Mars is a rocky planet, Mars’ surface solar irradiation accepting factor: **

**Φmars = 0,47**

** cp.mars = 0,18 cal/gr oC, on Mars’ surface is prevalent the iron oxide Fe2O3**

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

** (β* N*cp)¹∕ ⁴ = (150*0,9747*0,18)¹∕ ⁴ =**

** =(26,3169) ¹∕ ⁴ = 2,265**

** Φ = 0,47**

** [ Φ (β* N*cp)¹∕ ⁴ ]¹∕ ⁴ =**

** =( 0,47* 2,265 )¹∕ ⁴ =**

** =( 1,06455)¹∕ ⁴ = 1,01576 **

**So the difference between these two equations for planet Mars is only 1,576 % !**

**And it is a coincident.**

** It is a coincident, but with very important consequences.**

** Let's explain:**

** Tsat.mean.mars = 210 K measured by satellites**

** is almost equal with**

** Te.mars.incomplete = 209,91 K**

** and Tmean.mars = 213,21 K.**

** When measuring by satellites the Tsat.mean.mars = 210 K**

** and calculating with incomplete effective temperature equation**

**Te.mars.incomplete = 209,91 K**

** scientist were led to mistaken conclusions. **

** First they concluded that the planet's effective and mean temperatures should normally be equal, which is wrong.**

** Secondly they concluded that Earth without atmosphere should have effective temperature, according to the incomplete equation calculation,**

** Te.earth.incomplete = 255 K.**

** The measured by satellites Tsat.mean.earth = 288 K. **

**The difference of Δ 33 oC was then attributed to the Earth’s atmosphere greenhouse warming effect.**

** Now we have the planet mean surface temperature equation that gives**

** Tmean.mars = 213,21 K.**

** This result is almost identical to the measured by satellites **

**Tsat.mean.mars = 210 K.**

** And the Equation gives very reasonable results for all the other planets without-atmosphere in the solar system.**

** We know now the Δ 33 oC does not exist.**

** The Tmean.earth = 288,36 K = Tsat.mean.earth = 288 K.**

** Te.earth = 255 K does not exist.**

** And I dare to assume now, that this Complete Equation may be applied to all the planets without atmosphere in the whole Universe.**

** And I am convinced there is not any measurable greenhouse effect in Earth's atmosphere. Earth's atmosphere is very thin to have a detectable greenhouse effect.**

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### Comparison of Te and Te.Φ for planets Mars, Earth, Moon and Mercury

** Φ = 0,47 is the for smooth without atmosphere planet's surface solar irradiation accepting factor**

** Planet...Tsat.mean.....Te….......Te.Φ**

** Mars …....210 K ....209,91 K …174 Κ**

** Earth.......288 K.......255..K......211****K **

**Moon.......220 K.......270..K......224 K**

** Mercury....340 K......440 K......364 K **

**Let's explain: **

**Tsat = 210 K measured by satellites is almost equal with Te = 209,91 K **

**So scientist were led to mistaken conclusions. **

**First they assumed that the planet's effective and mean surface temperatures were equal, which is wrong. **

**Second, Earth's effective temperature was calculated as**

** Te.earth = 255 K **

**The measured by satellites**

** Tsat.mean.earth = 288 K. **

**The difference of Δ 33 oC was attributed to the Earth’s atmosphere greenhouse warming effect. **

**Now we have calculated planet's Mars effective temperature**

** Te.Φ = 174 K **

**So the assumption that planet's**

** Tsat.mean = Te is wrong. **

**Planet's Mars Tsat = 210 K. **

**We can conclude now that planet's Earth **

**Te.earth = 255 K is not equal with the planet's Earth Tmean.earth.**

** Thus the difference of Δ33 oC does not exist. **

**Also we have calculated the planet's Earth ****Te.Φ = 211 K**

** which is much less than the previously estimated Te.earth = 255 K.**

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**http://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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