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

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The discussion focuses on determining the value of K for a relativistic star with a polytropic index of n=3, as expressed in the mass-radius relation. Participants clarify that K is the constant connecting pressure and density, while M3 refers to the mass of the star. There is a request for resources to find the specific value of K, with a suggestion to refer to the Wikipedia page on the Chandrasekhar limit for further information. Consistency in notation is emphasized, particularly between k and K, as well as the use of M3. The conversation highlights the need for algebraic manipulation to relate K to standard notations.
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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
 
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Apashanka das said:
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?)
 
JMz said:
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
JMz said:
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
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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.
 
JMz said:
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
 
I believe requires only a little algebra to relate your K to Wikipedia's notation.
 

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