I Chandrasekhar Mass and the Relativistic Star: Finding the Value of K for n=3

[Apashanka das]

From the mass radius relation I have gone through mass of a relativistic star ( polytrophic index 3) which is
4piM₃(K/piG)^3/2
can anyone please suggest me any information of where the value of k is determined for relativistic star( for n=3) via any link
Where k is constt

 

[JMz]

From the mass radius relation I have gone through mass of a relativistic star ( polytrophic index 3) which is
4piM₃(K/piG)^3/2
can anyone please suggest me any information of where the value of k is determined for relativistic star( for n=3) via any link
Where k is constt

Please clarify your symbols. What is n -- is it the polytropic index? What is k -- is it the same as K? M₃ must be a mass -- but the mass of what? (What does the subscript 3 signify?)

 

[Apashanka das]

Please clarify your symbols. What is n -- is it the polytropic index? What is k -- is it the same as K? M₃ must be a mass -- but the mass of what? (What does the subscript 3 signify?)

yes all the standard notations
n is polytrophic index
k is the constt connecting pressure and density
M₃ is the mass of a star for p

Please clarify your symbols. What is n -- is it the polytropic index? What is k -- is it the same as K? M₃ must be a mass -- but the mass of what? (What does the subscript 3 signify?)

yes standard notations from the book dina prialnik

 

[JMz]

You must be more consistent in your notation: k and K are two different symbols. Also, M₃ is not a standard symbol in physics, it is apparently one that this specific author chose.

To answer your question: I suggest you start with WP: https://en.wikipedia.org/wiki/Chandrasekhar_limit, which should enable you to determine the origin of the author's K.

 

[Apashanka das]

You must be more consistent in your notation: k and K are two different symbols. Also, M₃ is not a standard symbol in physics, it is apparently one that this specific author chose.

To answer your question: I suggest you start with WP: https://en.wikipedia.org/wiki/Chandrasekhar_limit, which should enable you to determine the origin of the author's K.

actually K is the connection coefficient between pressure and density
Hence I am looking for the K for polytrophic index 3 ,that's only I want where
P=Kρ^(n+1)/n
where n is the polytrophic index
P is the pressure
And ρ is the density of the star

 

[JMz]

I believe requires only a little algebra to relate your K to Wikipedia's notation.