Here we have some two, far away from the sun moons, satellite measured mean temperatures comparison.
Io is Jupiter's moon and Enceladus is Saturn's moon.
Both have solar irradiation accepting factor Φ = 1 ( rock type surface, heavy cratered )
Here we have a complete comparison coefficient with all the terms (albedo, solar flux, N and cp) and with all the terms being different.
Io's mean radius is 1.822 km
Enceladus's mean radius is 252,1 ± 0,2 km
Comparison coefficient
[ (1 - a) S (N*cp)¹∕ ⁴ ]¹∕ ⁴
Io
Tmean = 110 K
[ (1- 0,63) 50,37 (0,5559*0,145)¹∕ ⁴ ]¹∕ ⁴ = 1,77518
Enceladus
Tmean = 75 K
[ (1- 0,85) 14,84 (0,7299*1)¹∕ ⁴ ]¹∕ ⁴ = 1,19766
Let's compare
110 K / 75 K = 1,4667
1,77518 /1,19766 = 1,4822
There is only 1% difference!
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", and the planet average surface specific heat "cp" (cal∕gr*oC) 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.