# The Planet Surface Rotational Warming Phenomenon

## The Planet Mean Surface Temperature Equation Tmean = [ Φ (1-a) S (β*N*cp)¹∕ ⁴ /4σ ]¹∕ ⁴

Mars: Pictured in natural color in 2007

### 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 (https://nssdc.gsfc.nasa.gov/planetary/factsheet/marsfact.html)

Tsat. mean.mars = 210 K (https://en.wikipedia.org/wiki/Mars)

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 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 = 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 mean temperatures should normally be equal, which is wrong.

Secondly they concluded that Earth without atmosphere should have an average surface temperature equal to the black-body temperature (effective temperature), Te.earth = 254 K (https://nssdc.gsfc.nasa.gov/planetary/factsheet/earthfact.html)

Then they compared the Te.earth = 254 K with the measured by satellites Tsat.mean.earth = 288 K (https://nssdc.gsfc.nasa.gov/planetary/factsheet/)

The difference of 288 K - 254 K = Δ34 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.

### 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.......254..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 effective and mean surface temperatures were equal, which is wrong.

Second, Earth's effective temperature was calculated as

Te.earth = 254 K

The measured by satellites

Tsat.mean.earth = 288 K.

The difference of Δ 34 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 mean surface temperature

Tmean = Te is wrong.

Mars' Tsat.mean.mars = 210 K.

We can conclude now that Earth's

Te.earth = 254 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 - 254 K = Δ34 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 = 254 K.