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The mass-radius relationship for a white dwarf star is defined by :

R= (9pi)^0.66 /8 * h^2/m1 * 1/(Gm2^1.66*M^.333),

where m1= electron mass, m2=proton mass, G=grav. constant, h=planck's constant

I want to take a proportion with the solar mass and solar radius, which would involve a division where I think everything should cancel out. But then for one solar mass, a white dwarf would have a radius equal to that of the Sun. I've found that the following is the correct relationship:

R/R(solar)=0.010(M(solar)/M)^.333

But where in the world does the factor of 0.010 come from???

If anything needs to be explained more clearly, please let me know.

Thank you very much!!!

R= (9pi)^0.66 /8 * h^2/m1 * 1/(Gm2^1.66*M^.333),

where m1= electron mass, m2=proton mass, G=grav. constant, h=planck's constant

I want to take a proportion with the solar mass and solar radius, which would involve a division where I think everything should cancel out. But then for one solar mass, a white dwarf would have a radius equal to that of the Sun. I've found that the following is the correct relationship:

R/R(solar)=0.010(M(solar)/M)^.333

But where in the world does the factor of 0.010 come from???

If anything needs to be explained more clearly, please let me know.

Thank you very much!!!

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