Astronomy Polytrope definition question

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A polytrope refers to a specific solution for density within the context of the polytropic equation of state, which describes how pressure and density relate in astrophysical contexts. The polytropic index, denoted as n, is defined by the equation y = 1 + 1/n, indicating the relationship between pressure and density for different types of stellar structures. The discussion emphasizes the importance of accurately defining these terms for academic purposes, particularly in relation to homework assignments. Participants are encouraged to provide more comprehensive explanations to secure full marks. Overall, clarity in definitions is essential for understanding polytropic processes in astronomy.
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Homework Statement



Define what is mean by polytrope and polystopic index n. (This is work 2 marks)


The Attempt at a Solution



A polytrope is a solution for denstity for the polytropic equation of state.


Polytropic index is defines as: y = 1 1/n


So do you think I have defined them properly? How would you do it. I only ask because this seems to come up a lot and I would rather get these somewhat easy two marks.
 
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