We do the 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.
Earth's Corrected Effective Temperature is Te.correct.earth = 210 Κ
To calculate Earth's Corrected Effective Temperature we should use the following data values
σ = 5,67*10⁻⁸ W/m²K⁴, the Stefan-Boltzmann constant
Φ = 0,47 solar irradiation accepting factor (dimensionless)
a = 0,306 Earth's average albedo
So = 1.361 W/m², solar flux on the top of the Earth's atmosphere
Earth’s Without-Atmosphere Corrected Effective Temperature Equation Te.correct.earth is:
Te.correct.earth = [ Φ (1-a) So /4σ ]¹∕ ⁴
Te.correct.earth = [ 0,47 (1-0,306) 1.361 W/m² /4*5,67*10⁻⁸ W/m²K⁴ ]¹∕ ⁴ =
Te.correct.earth = [ 0,47 (0,694) 1.361 W/m² /4*5,67*10⁻⁸ W/m²K⁴ ]¹∕ ⁴ =
Te.correct.earth = ( 1,957.367.636,68 )¹∕ ⁴ = 210,34 K
Te.correct.earth = 210,34 K
or
Te.correct.earth = 210 K
Te - planet effective temperature
Te = [ (1-a) S /4σ ]¹∕ ⁴
Te.correct - the planet corrected effective temperature
Te.correct = [ Φ (1-a) S /4σ ]¹∕ ⁴
Φ - is the solar irradiation accepting factor (it is the planet surface spherical shape, and planet surface roughness coefficient)
Φ = 0,47 - for smooth surface planets without atmosphere
Φ = 1 - for heavy cratered without atmosphere planets
Φ = 1 - for gases planets
.......................................
Te.correct = [ Φ (1-a) S /4σ ]¹∕ ⁴
Tmean = [ Φ (1-a) So (β*N*cp)¹∕ ⁴ /4σ ]¹∕ ⁴
Or
Tmean = Te.correct * [ (β*N*cp)¹∕ ⁴ ]¹∕ ⁴
Table 1.
.
.
Comparison of Predicted (Tmean) vs. Measured (Tsat) Temperature for All Rock-type Planets
......................Φ....Te.correct ..[(β*N*cp)¹∕ ⁴]¹∕ ⁴..Tmean ...Tsat
...................................°K ......................................°K .........°K
Mercury .......0,47....364,0 ........0,8953............... 325,83 ...340
Earth ..........0,47......210 ..........1,368.................287,74 ....288.
Moon ..........0,47.....224 ...........0.9978...............223,35 .....220
Mars ...........0,47.....174 ...........1,227.................213,11 .....210
Io ..................1.......95,16 .........1,169................111,55 .....110
Europa ........0,47....78,83 .........1,2636................99,56 .....102
Ganymede...0,47.....88,59 .........1,209................107,14 ....110.
Calisto ..........1.....114,66 .........1,1471..............131,52 ....134 ±11
Enceladus .... 1 ......55,97 .........1,3411...............75,06 .......75
Tethys ..........1.......66,55 .........1,3145 ..............87,48 .......86 ± 1
Titan ............1.......84,52 .........1,1015 ..............96,03 .......93,7
Pluto .............1.......37 ............1,1164 ...............41,6 .........44
Charon ..........1......41,90 ........1,2181 ...............51,04 .......53
Conclusion:
We can calculate planet mean surface temperature obtaining very close to the satellite measured results.
Tmean = Te.correct * [ (β*N*cp)¹∕ ⁴ ]¹∕ ⁴
where [ (β*N*cp)¹∕ ⁴ ]¹∕ ⁴ - is the planet surface warming factor Warming Factor = (β*N*cp)¹∕₁₆
Here it is the Table of data: Table 1. Comparison of Predicted (Tmean) vs. Measured (Tsat) Temperature for All Planets and moons in solar system.
Link:Also view Table 1
Also the
Table of contents - Links
0). Explain Rotational Warming Model.
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.
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