### Planet’s Mars Te misfortunate coincidence

**Planet’s Mars Te misfortunate coincidence**

We have collected the results calculated with the Effective Temperature Complete Formula.

Comparison of results planet Tsat.mean measured by satellites,

and the planet Te calculated with Complete Formula:

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

Planet or…Tsat.mean……Te.incomplete……Te.complete

moon ………measured …………..formula …………...formula

Mercury ……340 K ……………....437,30 K …………..346,11 K

Earth …………288 K …………….....255 K ……………....288,36 K

Moon ………..220 Κ …………….....271 Κ ……………....221,74 Κ

**Mars ………..210 K ………..209,91 K** …………213,42 K

Let’s focus our attention on the **Planet's Mars** mean temperature the measured by satellites:

**Tmars.sat = 210 K**

the calculated by the incomplete:

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

and the complete effective temperature formula:

**Te.mars.compl = [ Φ (1-a) S (β* N*cp)¹∕ ⁴ /4σ]¹∕ ⁴ = 213,42 K**

The difference between the incomplete and the complete Planet Effective Temperature Formula is:

***[ Φ (β* N*cp)¹∕ ⁴ ]¹∕ ⁴**

For Planet Mars we have:

**(β* N*cp)¹∕ ⁴ =** (150*0,98971*0,18)¹∕ ⁴ =

=(26,722) ¹∕ ⁴ = **2,27362 **

**Φ = 0,47 **

**[ Φ (β* N*cp)¹∕ ⁴ ]¹∕ ⁴ =**

=( 0,47* 2,27362 )¹∕ ⁴ =

=( 1,06860)¹∕ ⁴ = **1,01673**

So the difference between these two formulas for Planet Mars is only **1,673 % !**

**And this is a coincident.**

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

**Te.mars.sat = 210 K** measured by satellites

There is only by **1,673 %** difference by coincidence , it is almost equal with

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

Te.mars.compl = **213,42 K **

**When measuring by satellites the **

**Tmean.mars = 210 K **

**and calculating with the incomplete effective temperature formula **

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

**the scientist were led to a mistaken conclusions. **(They didn’t know about the Planet Effective Temperature Complete Formula yet).

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

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

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

**The measured by satellites Tmean.earth = 288 K. **

The difference of **Δ 33 oC **

was, according to scientists, due to the Earth’s atmosphere greenhouse warming effect.

Now we have the effective temperature complete formula that gives** Te.mars.compl = 213,42 K **

This result is very close to the measured by satellites **Te.mars.mean = 210 K. **

And the Complete Formula 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 Te.earth = 288,36 K = Tsat.earth = 288 K.

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

And I dare to assume now, that this Complete Formula 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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**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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