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abyssoft
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I've noticed that in past posts mainly in the archive a call for a formulation in the relationship. After much Research I think I may have one that will help Have not had much chance to really test it against available data.
Here it is.
Given R is radius of unknown Ro is radius of sun
Given M is mass of unknown Mo is Mass of Sun
Given L is luminosity of unknown Lo is Luminosity of Sun
R=Ro(L/Lo)^0.233
R=M^0.72
M=(Mo^0.72*(L/Lo)^0.233)^(1/0.72)
Inversely
L=((LoM^0.72)/Mo^0.72)^(1/0.233)
hope this helps
Here it is.
Given R is radius of unknown Ro is radius of sun
Given M is mass of unknown Mo is Mass of Sun
Given L is luminosity of unknown Lo is Luminosity of Sun
R=Ro(L/Lo)^0.233
R=M^0.72
M=(Mo^0.72*(L/Lo)^0.233)^(1/0.72)
Inversely
L=((LoM^0.72)/Mo^0.72)^(1/0.233)
hope this helps