**** Luminosity of a star****
L = Area x sigma x T^4
Where:
L = total luminosity (in Watts)
A = total area of star = 4 x pi x R^2 (in m^2)
sigma = Stefan-Boltzmann constant = 5.6705 x 10^-8 W/(m^2 x K^4)
T = surfaced Temperature in Kelvins
L / Mabs relation:
L/Lsun = 2.512^(4.68-Mabs- B.C.)
L = total luminosity (in Watts)
Lsun = total luminosity of the sun (in Watts)
Mabs = absolute magnitude
B.C. = Bolometric correction (ask me for more information about this or ude my excel star generator to calculate)
http://usuarios.lycos.es/darktemplars/D ... stem01.xls
******************
****Temperature of a planet****
Eu (Energy per unit area in the orbit of the planet)
Eu = L / ( 4 x pi x D^2)
Eu = Energy per area unit in the planet's orbit (W/m^2)
L = luminosity of the star (W)
D = mean distance of the planet = U.A. x 150 x 10^9 (aprox) (m)
T basic:
Eu x pi x R^2 x ( 1 - albedo) = sigma x 4 x pi x R^2 x Tb^4
Tb = ( Eu x ( 1 - albedo ) / (sigma x 4 ) ) ^(1/4)
Eu = Energy per area unit in the planet's orbit (W/m^2)
albedo = albedo
sigma = Stefan-Boltzmann constant = 5.6705 x 10^-8 W/(m^2 x K^4)
T final:
Tf = Tb x greenhouse
greenhouse = 1 + 0.01 x P^0.5 + 0.1 x Pgr^0.5 + 0.1 x Wv
P = atmospheric pressure of the planet
Pgr = greenhouse gas presure
Wv = water vapor factor
Maybe these last formulae to calculate P Pgr and Wv are a bit hard for you ( I don't know) if you want to learn more, ask me please.
I am working in a Excel planet generator too, that will have all these formulaes and much more into account to generate worlds. I started last week so I only have the star generator ready. You can use it for the Luminosity/Mabs relation.
Here is a screenshot:
You can download it directly here:
http://usuarios.lycos.es/darktemplars/D ... stem01.xls
it wil be impemented in the next days
The formulae:
280,525 * (1-Albedo^0,25) / (Closest dist.+farthest dist.)^0,5
have no very much sense for me, please how have you calculate it?
Celestia takes into account the albedo factor but no the greenhouse effect that in some cases is much greater than the albedo influence.