christos

There are several different concepts at play here.

One is whether rotational speed can increase the estimated average temperature of a planet.
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This is different to the amount of energy emitted to space by the planet which has an average temperature for an ideal black body.

Hence if we put 100 W/Sm in, we get 100 W/Sm out.
There is a temperature associated with a true black body determined by the surface area that absorbs the 100W/Sm

If the planet does not emit equally from all surfaces and does not rotate then the hotter areas temperature releasing the larger amounts of energy do not go up enough [SB] to give the same average temperature of a true black body.

Note that any energy coming from a general internal source is emitted as if the planet was a black body, rotating or not.

Hence by the physics the temperatures of all externally heated planets will increase a slight amount as the spin allows an evening of the radiation emitted to space which in turn allows the temperature to approach the expected temperature.Hence by the physics the temperatures of all externally heated planets will increase a slight amount as the spin allows an evening of the radiation emitted to space which in turn allows the temperature to approach the expected temperature.

Note that this means virtually all externally heated planets should have a lower average temperature than their black body average temperature.

Where does this leave your assertion [*altered]
“It is obvious, that [virtually] satellite measured planet mean surface temperatures are higher than their corresponding planet black body temperatures.”

You are talking about planet mean surface temperatures measured by satellite.
Yet you also assert that gas giants do not have a surface?
How can you claim a surface temperature by satellite without a surface?

There are a number of definitions of a surface yet you are confounding them.
if you take TOA as measured by a satellite

There are two different concepts at play here.
Quite confusing.
The first is your actual definition where you use terms like
The Planet Surface Rotational Warming Phenomenon
The Planet Mean Surface Temperature
yet make comments like
– Gaseous planets do not have a surface to reflect radiation.
-the satellite measured planet mean surface temperatures
-Rotating Planet Spherical Surface Solar Irradiation Absorbing-Emitting Universal Law

I think that this needs sorting out.
The problem is the definition of the Planet mean temperature
to that of Planet surface mean temperature

The true temperature of Venus IS 228.5 k
The true temperature of earth is

The first should be a description of equivalent black body TOA emission.
Which is wha
Global average radiative equilibrium at the top of atmosphere (TOA) is characterized by the net flux balance of 156 W/m2, the Bond albedo of 0.76, and the effective planetary emission temperature of 228.5 K in accordance with earlier results.