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
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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Tmean.europa
So = 1.361 W/m² (So is the Solar constant)
Europa’s albedo: aeuropa = 0,63
Europa is an ice-crust planet (rocky) without atmosphere, Europa’s surface irradiation accepting factor Φeuropa = 0,47
Europa’s surface consists of water ice crust
Cp.europa = 1cal/gr*oC
1/R² = 1/5,2044² = 0,0369 times lesser is the solar irradiation on Jupiter than that on Earth, the same on its satellite Europa.
Europa’s orbital period is 3,5512 d
Europa’s sidereal rotation period is synchronous
N = 1/3,5512 rotation /day
β = 150 days*gr*oC/rotation*cal – it is the Planet Surface Solar Irradiation INTERACTING-Emitting Universal Law constant
σ = 5,67*10⁻⁸ W/m²K⁴, a Stefan-Boltzmann constant
Europa’s mean surface temperature equation Tmean.europa is:
Tmean.europa = [ Φ (1-a) So (1/R²) (β*N*cp)¹∕ ⁴ /4σ ]¹∕ ⁴
Τmean.europa = { 0,47(1-0,63)1.362 W/m² *0.0369*[150* (1/3,5512)*1]¹∕ ⁴ /4*5,67*10⁻⁸ W/m²K⁴}¹∕ ⁴ =
Tmean.europa = 99,557 K
Tsat.mean.europa = 102 K (- 171 oC)
Link:
.
https://www.cristos-vournas.com
The faster a planet rotates (n2>n1) the higher is the planet’s average (mean) temperature T↑mean:
Tmin↑→ T↑mean ← T↓max
.
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Io and Europa
Io and Europa is an example of the planet or moon surface temperatures comparison:
Io and Europa are at the same distance from the sun. Both have the same satellite measured Albedo.
Io (Jupiter's satellite), Albedo a =0,63
Flux _ 50,37 ( W/m² ) Te = 95,16 K
Te.correct = 95,16 K, Φ = 1
Warming Factor (β*N*cp)¹∕ ⁴ = 1,8647
Tsat = 110 K
Europa (Jupiter's satellite), Albedo a =0,63
Flux _ 50,37 ( W/m² ) Te = 95,16 K
Te.correct = 78,83 K, Φ = 0,47
Warming Factor (β*N*cp)¹∕ ⁴ = 2,5494
Tsat = 102 K
110K /102K = 1,0784
[ (1*1,8647 ) /(0,47*2,5494) ]¹∕ ⁴ = 1,1169
1,1169 /1,0784 = 1,0357 or 3,57 %
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Table of contents - Links
0). Explain Rotational Warming Model.
Demonstrate the Initial PREMISE, Links: (1) and (2)
3).The Planetary Temperatures Comparison Criteria.
4). "The total amount of the specularly reflected portion of solar flux"
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.
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.
13). Blog.
14). Table of data Link: Also view Table 1
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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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