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

Written by Christos I. Vournas,

M.sc. mechanical engineer

We do planets and moons surface temperatures comparison.

The presence of atmosphere doesn't  warm Earth's surface.

It is the other reasons, not the presence of atmosphere, that make Earth warmer than the Moon by +68°C.

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Key words:

Specular Reflection

Φ - Solar Irradiation Accepting Factor (spherical shape and surface roughness coefficient), for smooth bodies Φ = 0,47 and for rough / porous Φ = 1

Immediate IR Emission

Rotational Warming Phenomenon ( N*cp )^1/16

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Mercury / Moon / Mars satellite measured mean surface temperatures 340 K, 220 K and 210 K comparison

These ( Tmean, R, N, and albedo ) planets' parameters are all satellites measured. These planets' parameters are all observations.

Planet….Mercury….Moon….Mars

Tsat.mean.340 K….220 K…210 K

R…......0,387 AU..1 AU..1,525 AU

1/R²…..6.6769….....1….…0,430

N…1 /175,938..1 /29,531..0,9747

a......0,068......0,11......0,250

coeff..1,1636...0,8093...0,8090

Comparison coefficient calculation

[ (1/R²) (N)¹∕ ⁴ ]¹∕ ⁴

Mercury:

Tsat.mean = 340 K

[ (1/R²) (N)¹∕ ⁴ ]¹∕ ⁴ = [ 6,6769*(1/175,938)¹∕ ⁴ ] ¹∕ ⁴ = 1,1636

Moon:

Tsat.mean = 220 K

[ (1/R²) (N)¹∕ ⁴ ]¹∕ ⁴ = [ 1*(1/29,531)¹∕ ⁴ ] ¹∕ ⁴ = 0,8093

Mars:

Tsat.mean = 210 K

[ (1/R²) (N)¹∕ ⁴ ]¹∕ ⁴ = [ 0,430*(0,9747)¹∕ ⁴ ] ¹∕ ⁴ = 0,8090

Let's compare

Mercury coeff. / Moon coeff. =

= 1,1636 /0,8093 = 1,4378

And

Tmean.mercury /Tmean.moon =

= 340 K/220 K = 1,5454…

They are close enough, because Mercury and Moon have close (1-albedo) values: amoon = 0,11 and amercury = 0,068. For Moon (1-0,11)=0,89 and for Mercury (1-0,068)=0,932.

The Mercury's coefficient (1,1636) is calculated for Mercury's Semi-major axis which is 0,387 AU. But half of the time, Mercury comes closer to the sun at its Perihelion of 0,307 AU. The fact Mercury's orbit has high eccentricity e = 0,205 partly explains the difference between the calculated (1,4378) and the measured (1,5454).

Moon coeff. /Mars coeff. =

= 0,8093 /0,8090 = 1,00037

or 0,037 %

If Moon and Mars had the same albedo amoon = 0,11 they would both have the same satellite measured mean surface temperature Tmean = 220 K. Mars' albedo is amars = 0,25.

Conclusion:

Everything is all right.

It is a demonstration of the Planet Surface Rotational Warming Phenomenon!

And

It is the confirmation that the planet axial spin (rotations per day) "N" should be considered in the (Tmean) planet mean surface temperature equation in the sixteenth root:

Tmean.planet = [ Φ (1-a) So (1/R²) (β*N*cp)¹∕ ⁴ /4σ ]¹∕ ⁴.

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.

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The table of contents will be completed some time soon. For more pages view the menu at the top.

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