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

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Mars: Pictured in natural color in 2007

The Earth seen from Apollo 17

Planet’s Mars Te misfortunate coincidence

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

and the planet's Mars Te calculated with Incomplete and Complete formula:

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

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 complete effective temperature formula:

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

 

The difference between Incomplete and Complete planet's Effective Temperature calculation formula 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 formulas 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 Te.mars.compl = 213,21 K.

 

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

and calculating with incomplete effective temperature formula

Te.mars.incomplete = 209,91 K

scientist were led to mistaken conclusions.

(They didn’t know about the Planet Effective Temperature Complete Formula yet).

First they concluded that the planet's 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 Tsat.mean.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 = 213,21 K.

This result is almost identical to the measured by satellites

Tsat.mean.mars = 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.mean.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.

.

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 ← Tmax

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