The very powerful the Solar Irradiated planet surface Rotational Warming Phenomenon: ( N*cp )^1/16

Planet 2 is warmer than planet 1

because (N2⋅cp2) > (N1⋅cp1)

✍️ In the Figure:

Two bodies subjected to the same solar flux

The Planet Surface Rotational Warming Phenomenon

states:

Planets and moons (without atmosphere, or with a thin atmosphere) the Mean Surface Temperatures (Tmean) relate (everything else equal) as their (N*cp) products’ sixteenth root.

The Planet or Moon the Mean Surface Temperature Universal Equation (Tmean) is:

Variable definitions 

• Φ— Solar irradiation accepting factor— coefficient.
• α— planetary surface  albedo.
• S— Solar flux (W/m²).

• c_p— surface specific heat capacity.
• β— the empirical universal constant.
• σ— Stefan-Boltzmann constant.

See the derivations further on below.

Written by Christos I. Vournas,

M.sc. mechanical engineer

Key words:

— Specular Reflection

— Immediate IR Emission

— Rotational Warming Phenomenon

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Table of contents - Links

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It is a solid proof of the Planet Surface Rotational Warming Phenomenon.

"Here’s another question. Suppose Mars was at Earth’s orbit around the Sun, same atmosphere as it has now, what would its temperature be?" 

The answer to this question will illustrate the Planet Surface Rotational Warming Phenomenon complete rightness!

The measured Mars' mean surface temperature at the actual Mars' distance from sun R.mars = 1,524AU is Tmean.1,524AU =210K

R = 1AU is the Earth's orbit distance from the sun in AU (astronomical units)

Let's apply the inverse square law

(1/R²) = (1/1,524²) = 1/2,32

Mars has 2,32 times less solar irradiation intensity than Earth has Let's calculate using the Stefan-Boltzmann emission law 4 power. When estimating the emission temperature the 4th root of the emission intensity should be applied.

Thus, by analogue, Mars at the earth's orbit being irradiated 2,32 times higher, should have (2,32)¹∕ ⁴ times higher the mean surface temperature, than on its actual orbit of R.mars=1,524AU, but with the same rotational spin...

Mars performs 1 rotation every 24,622 hours or 0,9747 rot/day.

Thus:

(2,32)¹∕ ⁴= 1,23416

And:

Tmean.mars.1AU = 1,23416*Tmean.mars.1,524AU =

= 1,23416*210K = 259,17K or rounded 259K

Conclusion:

Mars at earth's orbit would have Tmean.mars =259K.

When comparing with the measured moon's, because Moon also orbits sun at earth's distance, and Moon having a lower than Mars Albedo (a.moon =0,11; a.mars =0,250), thus Moon at earth's orbit being more intensively irradiated Moon/Mars = (1-0,11)So /(1-0,250)So = 0,89/0,75 = 1,187 times Moon is more intensively irradiated, and the measured Tmean.moon =220K

It is a solid proof of the Planet Surface Rotational Warming Phenomenon. The higher Mars' average surface temperature at Earth's orbit than Moon's, the 259K vs 220K, and the huge and undisputable difference of 259K -220K =Δ39C can be explained only by the Mars' rotational spin being 28,783 times faster than that of Moon's.

Table of contents - Links

0). Explain Rotational Warming Model.

Demonstrate the Initial PREMISE, Links: (1) and (2)

1). The first steps.

2). The Initial PREMISE.

3).The Planetary Temperatures Comparison Criteria.

4). "The total amount of the specularly reflected portion of solar flux"

Link: Φ = 0,47 and FRESNEL

5). How A Planet Retains The Solar Energy - the role of the Immediate IR emission.

6). Φ -Factor is an analogue of the well known Drag Coefficient Cd=0,47

7). “What ‘portion’ of ‘sunlight’ reaches surface of Earth?”

8). The satellites do not measure Bond Albedo.

9). Stefan-Boltzmann formula J = σ T⁴ W/m² doesn't apply to terrestrial temperatures.

10). The Theoretical Equation.

11). The First Conclusions.

12). The actual reason of the observed Global Warming.

13). The Axial Precession's role in Global Warming.

14). The Original Milankovitch cycle.

15). The Reversed Milankovitch cycle.

16). The higher CO2 content in ice core samples relates to colder periods.

17). Sensible Heat /Latent Heat ratio.

18). The conventional greenhouses, and the role of immediate IR emission.

19). NASA Technical Memorandum An Earth Albedo Model

20). The yearly total Immediate IR Emitted solar energy - in our times - is lower.

21). The yearly total reflected solar energy - in our times - is lower.

Appendix - Links

1). Earth's Corrected Effective Temperature (210 K ) calculation.

2). Earth's Average Surface Temperature (288 K ) calculation.

3). Moon's Corrected Effective Temperature (224 K ) calculation.

4). Moon's Average Surface Temperature (220 K ) calculation.

5). Mars' Corrected Effective Temperature (174 K ) calculation.

6). Mars' Average Surface Temperature (210 K ) calculation.

7). Mercury's Corrected Effective Temperature (364 K ) calculation.

8). Mercury's Average Surface Temperature (340 K ) calculation.

9). Titan's Average Surface Temperature (93,7 K ) calculation.

10). Earth / Mars satellite measured mean surface temperatures 288 K and 210 K comparison.

11). Earth's /Moon's temps 288K /220K comparison.

12). Completed DeepSearch.

13). Blog.

14). Table of data Link: Also view Table 1

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