Heat Balance


Fsun = S0/<rs>2     S0 ident 1.37 · 106 ergs/cm2
Pabs = (1 - Ab) · Fsun · sunlit area = (1 - Ab) · Fsun · pi · Req · Rpl
a = total area = 2 pi · R2eq + pi (R2pl/e) · loge [ (1 + e)/(1 - e)]
e = sqrt[R2eq-R2pl]/Req
Fabs = Pabs/a
Teq = [Pabs/(a · sigma)]0.25
If the eccentricity is equal to zero, e = 0, then
a = 4 pi · Req · Req
Fabs = (1 - Ab) · Fsun/4
Teq = [ (1 - Ab) · Fsun/(4 · sigma) ]0.25

bond
albedo
Fsun
erg/s/cm2
Fabs
erg/s/cm2
Pabs
erg/s
Teq
K
Venus0.7502618462.8163653.97.5299e+23231.89
Earth0.3061370000.0237414.71.2110e+24254.49
Mars0.250590102.3110447.61.5922e+23210.18
Jupiter0.34350616.08123.34.9933e+24109.45
Saturn0.34215011.72381.41.0167e+2480.54
Uranus0.3003691.7641.05.1818e+2258.01
Neptune0.2901498.8264.02.0141e+2246.47
Titan0.22015011.72927.32.4391e+2184.80

Pint = Fint · a
Fout = Fint + Fabs
ratio = Fout/Fabs = (Fint + Fabs)/Fabs
Teff = (Fout/sigma)0.25

Fint
erg/s/cm2
Pint
erg/s
Fabs+Fint
erg/s/cm2
Teff
K
out/in
ratio
Venus0.00.0000e+00163653.9231.891.0000
Earth62.03.1624e+20237476.7254.511.0003
Mars0.00.0000e+00110447.6210.181.0000
Jupiter5440.03.3439e+2413563.3124.421.6697
Saturn2010.08.5815e+234391.493.851.8440
Uranus42.03.3953e+21683.058.941.0655
Neptune433.03.3029e+22697.059.242.6399
Titan0.00.0000e+002927.384.801.0000