# Heat Balance

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

 bondalbedo Fsunerg/s/cm2 Fabserg/s/cm2 Pabserg/s TeqK Venus 0.750 2618462.8 163653.9 7.5299e+23 231.89 Earth 0.306 1370000.0 237414.7 1.2110e+24 254.49 Mars 0.250 590102.3 110447.6 1.5922e+23 210.18 Jupiter 0.343 50616.0 8123.3 4.9933e+24 109.45 Saturn 0.342 15011.7 2381.4 1.0167e+24 80.54 Uranus 0.300 3691.7 641.0 5.1818e+22 58.01 Neptune 0.290 1498.8 264.0 2.0141e+22 46.47 Titan 0.220 15011.7 2927.3 2.4391e+21 84.80

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

 Finterg/s/cm2 Pinterg/s Fabs+Finterg/s/cm2 TeffK out/inratio Venus 0.0 0.0000e+00 163653.9 231.89 1.0000 Earth 62.0 3.1624e+20 237476.7 254.51 1.0003 Mars 0.0 0.0000e+00 110447.6 210.18 1.0000 Jupiter 5440.0 3.3439e+24 13563.3 124.42 1.6697 Saturn 2010.0 8.5815e+23 4391.4 93.85 1.8440 Uranus 42.0 3.3953e+21 683.0 58.94 1.0655 Neptune 433.0 3.3029e+22 697.0 59.24 2.6399 Titan 0.0 0.0000e+00 2927.3 84.80 1.0000