### Planet Mars black-body temperature (effective temperature) Te misfortunate coincidence

Planet Mars black-body temperature (effective temperature) Te misfortunate coincidence

We have calculated the Corrected Effective Temperature for Mars Te.correct.mars = 174 K

But let's see what happened when the Effective Temperature of Mars was not yet corrected. Te.mars = 209,8 K

Tsat. mean.mars = 210 K

We have here planet Mars mean temperature measured by satellites:

Tsat.mean.mars = 210 K

We have the Mars black-body temperature

Te = 209,8 K

These temperatures the Tsat.mean.mars = 210 K and the black-body temperature Te.mars = 209,8 K are almost identical.

These two very important for planet Mars temperatures are almost identical, but it is a coincidence.

It is a coincidence, but with very important consequences.

Let's explain:

Tsat.mean.mars = 210 K measured by satellites is almost equal with Te.mars = 209,8 K

When measuring by satellites the Tsat.mean.mars = 210 K and calculating Mars black-body temperature Te.mars. = 209,8 K scientist were led to mistaken conclusions.

First they concluded that the planet's effective and planet's without-atmosphere mean surface temperatures should normally be equal, which is wrong.

Secondly they concluded that Earth without atmosphere should have an average surface temperature equal to the Earth's black-body temperature (effective temperature), Te.earth = 255 K

Then they compared the Te.earth = 255 K with the measured by satellites Tsat.mean.earth = 288 K

The difference of 288 K - 255 K = Δ33 oC was then attributed to the Earth’s atmosphere greenhouse warming effect.

Now we have the Mars Corrected Effective Temperature

Te.correct.mars = 174 K.

The fact that the Corrected Effective Temperature of Mars is Te.correct.mars = 174 K, which is not even close to the satellite measured Tsat.mean.mars = 210 K debunks the above syllogism that the planet the calculated black-body temperature Te (effective temperature) is equal to the planet without atmosphere mean surface temperature Tmean.

The above wrong syllogism happened because of the wrongly estimated Mars black-body temperature.

It was calculated assuming planet absorbing incoming solar energy as a disk. We know now that planet absorbs the incoming solar energy as a sphere, and not as a disk.

### Applying a simplest LOGIC

We are considering here the airless selestial bodies - the planets and moons without-atmosphere.

A measured planet mean surface temperature Tmean cannot be numerically equal to the theoretically calculated planet effective temperature Te (i. e. Mars Tmean =210K vs Mars Te =210K).

For the obvious reason - there are NOT planets and moons in the entire solar system with uniform surface temperatures!!!

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Also, when discussing (i. e. Mars Tmean =210K vs Mars Te =210K) we are considering the same exactly planet, so it should emit the same exactly amount of IR EM energy, no matter what.

It is impossible for a planet having Te =210K to emit the same amount of IR EM energy as it emits a planet which has Tmean =210K and which planet is very much far from being a uniform surface temperature selestial body.

If they emit the same amount of IR EM energy - they are two different planets.

So, the above assertion: Tmean = Te is utterly wrong, because it is physically impossible!

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Conclusion:

Planet effective temperature (Te) is a mathematical abstraction. The only connection with the real world it has - is that it can be considered as a vague aproximation, when estimating the expected planetary temperatures, since it uses the actual solar flux on the planetary surface, plus it uses the actual average surface Albedo.

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

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

Planet...Tsat.mean.....Te…..Te.correct

Mars …....210 K ....209,8 K …174 Κ

Earth.......288 K.......255..K......210 K

Moon.......220 K......270,4..K....224 K

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

Let's explain:

For Mars

Tsat.mean.mars = 210 K measured by satellites is almost equal with

Te.mars = 209,8 K (black-body equation calculated)

So scientist were led to mistaken conclusions.

First they assumed that the planet's without-atmosphere 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 Mars' effective temperature as

Te.correct = 174 K

So the assumption that planet without-atmosphere mean surface temperature

Tmean = Te is wrong.

Mars' Tsat.mean.mars = 210 K.

We can conclude now that Earth's

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

The satellite measured Tsat.mean.earth = 288 K

and it is the Earth's actual average (mean) surface temperature.

Thus the difference of 288 K - 255 K = Δ33 oC does not exist.

Also we have calculated the Earth's Te.correct.earth = 210 K

which is much less than the previously calculated by the black-body equation

Te.earth = 255 K.

### Te is a misleading mathematical abstraction, which, in addition, is wrongly estimated…

What I insist in is that planet without-atmosphere effective temperature Te is a wrong and misleading mathematical abstraction.

Also, I have shown, (this wrong and misleading mathematical abstraction) Te is, at the same time, wrongly estimated.

Thus we deal here with a misleading mathematical abstraction, which, in addition, is wrongly estimated…

As it is shown in the Table above:

Te.mars = 210 K, Te.correct.mars = 174 K

Te.earth = 255 K, Te.correct.earth = 210 K

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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 ← Tmax

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