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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Jupiter’s Mean Temperature Equation Tmean.jupiter.1bar is:
Tmean.jupiter.1bar = [Φ (1-a) So (1/R²) (B*N)¹∕ ⁴ /4σ]¹∕ ⁴
Jupiter’s sidereal rotation period is 9,925 h
N = 24h/9,925h rotations/per day
R = 5,2044 AU, 1/R² = 1/5,2044² = 0,0369 times lesser is the solar irradiation on Jupiter than that on Earth.
So = 1.361 W/m² is Solar constant
Jupiter’s albedo, ajupiter = 0,503
Jupiter is a gaseous planet, Jupiter’s surface irradiation accepting factor Φjupiter = 1
(Jupiter has not surface to reflect the incident sunlight. Accepted by a Gaseous Hemisphere with radius r sunlight is S*Φ*π*r²(1-a), where Φ = 1)
Atmosphere composition 89% ± 2,0% H₂, 10% ± 2,0% He, 0,3% ± 0,1% CH₄.
Jupiter has not surface
B = 850 days/rotation – it is the Rotating Gaseous Planet at 1 bar level (Jupiter, Saturn, Uranus and Neptune very similar atmosphere composition) Rotating Planet Solar Irradiation INTERACTING-Emitting constant
σ = 5,67*10⁻⁸ W/m²K⁴, a Stefan-Boltzmann constant
So we have:
Jupiter’s mean temperature at 1 bar level Tmean.jupiter.1bar is:
Tmean.jupiter.1bar = {1*(1-0,503)1.361*0,0369(W/m²) [850*(24h/9,925h)]¹∕ ⁴ /4*5,67*10⁻⁸(W/m²K⁴) }¹∕ ⁴ =
Tmean.jupiter.1bar = {1*(0,497)1.361*0,0369(W/m²) [850*2,417]¹∕ ⁴ /4*5,67*10⁻⁸(W/m²K⁴) }¹∕ ⁴ =
Tmean.jupiter.1bar = {1*(0,497)1.361*0,0369(W/m²) [2.054,45]¹∕ ⁴ /4*5,67*10⁻⁸(W/m²K⁴) }¹∕ ⁴ =
Tmean.jupiter.1bar = {1*(0,497)1.361*0,0369(W/m²) *6,732 /4*5,67*10⁻⁸(W/m²K⁴) }¹∕ ⁴ =
Tmean.jupiter.1bar = (740.869.877)¹∕ ⁴ = 165 K
Tmean.jupiter.1bar = 165 K is the calculated.
And below is the measured by satellites
Tsat.mean.jupiter = 165 K (at 1bar level)
Tsat.mean.jupiter = 112 K (at 0,1 bar level).
Here is an abstract from Wikipedia:
Atmosphere Main article: Atmosphere of Jupiter
Jupiter has the largest planetary atmosphere in the Solar System, spanning over 5,000 km (3,000 mi) in altitude.[55][56] Because Jupiter has no surface, the base of its atmosphere is usually considered to be the point at which atmospheric pressure is equal to 100 kPa (1.0 bar).
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https://www.cristos-vournas.com
The faster a planet rotates (n2>n1)
Tmin↑→ T↑mean ← T↓max
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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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