# 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

### There is the Planet Surface Rotational Warming Phenomenon

I’ll try here in few simple sentences explain the very essence of how the planet rotational warming Phenomenon occurs.

Lets consider two identical planets F and S at the same distance from the sun.

Let’s assume the planet F spins on its axis Faster, and the planet S spins on its axis Slower.

Both planets F and S get the same intensity solar flux on their sunlit hemispheres. Consequently both planets receive the same exactly amount of solar radiative energy.

The slower rotating planet’s S sunlit hemisphere surface gets warmed at higher temperatures than the faster rotating planet’s F sunlit hemisphere.

The surfaces emit at σT⁴ intensity – it is the Stefan-Boltzmann emission law.

Thus the planet S emits more intensively from the sunlit side than the planet F.

So there is more energy left for the planet F to accumulate then. That is what makes the faster rotating planet F on the average a warmer planet. That is how the Planet Surface Rotational Warming Phenomenon occurs.

Earthrise, taken in 1968 Dec 24 by William Anders, an astronaut on board Apollo 8

### What changes with the faster rotation is the planet surface sunlit hemisphere IR emission ratio

"A planet from rotating faster is getting energy from nowhere."

Yes, the faster rotation does not provide any additional incident SW radiative solar energy. No matter how slow or fast a planet rotates the incident on the planet's surface solar energy is always the same.

What changes with the faster rotation is the planet surface sunlit hemisphere IR emission ratio.

There is the Planet Surface Rotational Warming Phenomenon.

Lets consider two identical planets F and S at the same distance from the sun. Let’s assume the planet F spins on its axis Faster, and the planet S spins on its axis Slower. Both planets F and S get the same intensity solar flux on their sunlit hemispheres. Consequently both planets receive the same exactly amount of solar radiative energy.

The slower rotating planet’s S sunlit hemisphere surface gets warmed at higher temperatures than the faster rotating planet’s F sunlit hemisphere.

The surfaces emit at σT⁴ intensity.

Thus at every given moment the planet S sunlit surface emits IR outgoing radiative energy more intensively from the sunlit side than the planet F.

So there is more energy every given moment left for the planet F to accumulate for the night then. That is what makes the faster rotating planet F on the average a warmer planet. That is how the Planet Surface Rotational Warming Phenomenon occurs.

### the FASTER ROTATING Earth and Mars

Mars’ MINIMUM TEMPERATURE is 130 K, which is much higher than for the closer to the Sun Mercury’s and Moon’s minimum temperature 100 K.

The planet’s effective temperature old Te = [ (1-a) S /4σ ]¹∕ ⁴ equation gives very CONFUSING RESULTS.

And the FASTER ROTATING Earth and Mars appear to be relatively WARMER PLANETS.

### That is why Earth is warmer than Moon

So we have under consideration four Moon mean surface temperatures:

193 K,

https://springerplus.springeropen.com/articles/10.1186/2193-1801-3-723

220 K ( the 220 K is what I support ),

https://www.sciencedirect.com/science/article/pii/S0019103516304869

https://simple.wikipedia.org/wiki/Moon

243 K,

http://www.digipac.ca/chemical/mtom/contents/chapter1/marsfacts.htm

250 K,

https://nssdc.gsfc.nasa.gov/planetary/factsheet/

https://en.wikipedia.org/wiki/Moon

Also we know the Moon's effective temperature

Te.moon = 270,4 K

Notice: All the above four Moon mean surface temperatures are below the Te.moon = 270,4 K.

So Moon's without atmosphere mean surface temperature (no matter which one) is below the Te.moon = 270,4 K.

On the other hand, Earth's mean surface temperature is

Tmean.earth = 288 K

And Earth's effective temperature

Te.earth = 255 K.

We have a very interesting paradox here. Earth with atmosphere has a higher mean surface temperature, than the Earth's effective temperature

Tmean.earth > Te.earth

288 K > 255 K

Moon has a lower mean surface temperature, than the Moon's effective temperature

Tmean.moon < te.moon="">

193 or 220 or 243 or 250 K < 270,4="">

Tmean.earth > Te.earth

288 K > 255 K

and

Tmean.moon <>

193 or 220 or 243 or 250 K < 270,4="">

cannot be explained otherwise but because of a major difference Earth and Moon have. And this isn't the existence of atmosphere on the Earth's surface.

What it is then?

The major factor which determines the Earth's mean surface temperature Tmean.earth being HIGHER than Earth's effective temperature Te.earth,

and Moon's mean surface temperature Tmean.moon being LOWER than Moon's effective temperature Te.moon

is the Earth's and Moon's VERY DIFFERENT AXIAL SPIN.

Earth performs N.earth =1 rotation /day

Moon performs N.moon = 1 /29,531 rotation /day

or N.moon = 0,033863 rotation /day

Consequently, Earth's surface gets warmer than Moon's, because of the PLANET SURFACE ROTATIONAL WARMING PHENOMENON.

### The Gaseous Giants JUPITER'S and SATURN'S and the Ice Giant NEPTUNE'S very FAST ROTATION

The Gaseous Giants JUPITER'S and SATURN'S and the Ice Giant NEPTUNE'S very FAST ROTATION makes them WARMER PLANETS too.

ACCIDENTALY, it was not appeared to be the case for the Ice Giant URANUS at the time of Voyager 2's flyby in 1986.

Uranus's south pole was pointed almost directly at the Sun at the time of Voyager 2's flyby in 1986.

Despite of the Ice Giant URANUS'S very FAST ROTATION, URANUS didn't appear as a WARMER PLANET at the time of Voyager 2's flyby in 1986.

It happened so, because in 1986 the Ice Giant URANUS hadn't any DIURNAL period at all. When its temperature was measured, URANUS was sunlit only on its Southern Hemisphere. Therefore at that time URANUS appeared, in relation to the solar irradiance, as a "NOT ROTATING" planet.

Uranus's southern hemisphere in approximate natural color (left) and in shorter wavelengths (right), showing its faint cloud bands and atmospheric "hood" as seen by Voyager 2

Uranus's southern hemisphere in approximate natural color (left) and in shorter wavelengths (right), showing its faint cloud bands and atmospheric "hood" as seen by Voyager 2