A Planet Effective Temperature Complete Formula Te = [ Φ (1-a) S (β*N*cp)¹∕ ⁴ /4σ ]¹∕ ⁴

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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 Te (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…….. Te.satellites……… 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 ……………......211,52 K …………215,23 K

 

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

Te.mars.sat = 210 K

the calculated by the incomplete: 

Te = [ (1-a) S /4 σ ]¹∕ ⁴ = 211,52 K 

and the complete effective temperature formula:

Te = [Φ (1-a) S (β* N*cp)¹∕ ⁴ /4σ]¹∕ ⁴ = 215,23 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*1*0,19)¹∕ ⁴ =

=(28,5) ¹∕ ⁴ = 2,31052

Φ = 0,47

[Φ (β* N*cp)¹∕ ⁴ ]¹∕ ⁴ =

=( 0,47* 2,31052 )¹∕ ⁴ =

=( 1,08594 )¹∕ ⁴ = 1,02082

So the difference between these two formulas for Planet Mars is only 2,08 % !

And this is a coincident.

It is a coincident, but with very important consequences.

Te.mars.sat = 210 K measured by satellites (it is still considered as Tmean.sat = 210 K, but it is not).

There is only by 2,08 % difference by coincidence , it is almost equal with

Te.mars.incomplete = 211,52 K and

Te.mars.compl = 215,23 K

When measuring by satellites the

Tmean.mars = 210 K

and calculating with the incomplete effective temperature formula

Te.mars.incomplete = 211,52

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.

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 = 215,23 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.