The Planet N*cp product IMPORTANCE
Let’s proceed the syllogism.
N – is the planet’s rotational spin
cp – is the planet’s average surface specific heat
N*cp is the product of planet’s N and cp
Now, let’s have two identical planets, both at the same distance from the sun, but with different rotational spin N1 and N2, and with different average surface specific heat cp1 and cp2. Which planet has the highest mean surface temperature Tmean ?
Of course, since every planet has its own unique rotational spin (diurnal cycle) and every planet has its own unique average surface specific heat… we should compare for the two planets N*cp – the product of N and cp.
Consequently, the planet with the highest N*cp product should be the planet with the highest mean surface temperature Tmean.
Earth’s N.earth = 1 rot /day
Moon’s N.moon = 1 /29,5 rot /day
Earth’s cp.earth = 1 cal /gr.oC (watery planet)
Moon’s cp.moon = 0,19 cal /gr.oC (regolith)
For Earth the (N*cp) product is:
(N.earth)*(cp.earth) = 1*1 = 1 rot.cal /day.gr.oC
For Moon the (N*cp) product is:
(N.moon)*(cp.moon) = (1 /29,5)*0,19 = 1 /155,3 rot.cal /day.gr.oC
Let’s compare the products:
(N.earth)*(cp.earth) / [(N.moon)*(cp.moon)] = 1 / (1 /155,3) = 155,3
What we see here is that the Earth’s N*cp product is 155,3 times higher than the Moon’s N*cp product.
And the satellite measured mean surface temperatures are
Tmean.earth = 287,16 K
Tmean.moon = 220 K
It is obvious that Earth’s higher rotational spin and Earth’s higher surface specific heat make Earth on average a warmer than Moon planet.
Moon, compared to Earth, receives almost 30 % more solar energy
We know that there is the Planet ROTATIONAL Warming Phenomenon. And it is described by the (N*cp) product.
The higher the N*cp, the warmer is the planet.
Earth's and Moon's temperatures comparison.
The Earth's higher than Moon's both N (rotational spin) and cp (average surface specific heat), do not let at the day-time the Earth's surface get warm enough to emit IR as intensively as Moon's surface does. As a result, on the Earth's surface, during the solar irradiance hours there is much more solar energy left to be accumulated.
And this accumulated energy accounts for the much higher Earth's than Moon's night-time temperatures, with the resulting consequence of the much higher than Moon's the Earth's mean surface temperature.
Also we should take in consideration,
Earth's albedo is a.earth = 0,306 and (1 - 0,306) = 0,694
Moon's Albedo a.moon = 0,11 and (1 - 0,11) = 0,89
So, Moon's /Earth's = 0,89 /0,694 = 1,28
or, in other words, Moon, compared to Earth, receives almost 30 % more solar energy, which should then be emitted as IR outgoing radiation to remain energetically balanced.
Nevertheless, Earth, with much lesser (- 30%) "absorbed" than Moon solar energy, is a warmer than Moon planet. And this happens because during the solar irradiance hours Earth's IR emission intensity is much weaker than Moon's, so Earth saves energy (accumulates solar energy) much more efficiently.
There is no need for any supplementary source of energy for the Earth's surface in order to become on average warmer than Moon. There is no need for Greenhouse Warming enhancement on the Earth's surface to make Earth a warmer than Moon planet.
It is the Planet Rotational Warming which does the job.