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Lane-Emden Equation

  1. Sep 28, 2015 #1
    1. The problem statement, all variables and given/known data
    For n=0, compute the expressions forρ(r),T(r),p(r) in terms of the total mass M and radius R of the star.What is the the scale length a in terms of the radius R in this case?

    2. Relevant equations
    Lane-Emden Equation

    4d2bbedd0724bb1733135c7de4343d36.png , where [PLAIN]https://upload.wikimedia.org/math/c/5/6/c567d1405901ff84599881cf22ac5c04.png, [Broken] [PLAIN]https://upload.wikimedia.org/math/9/8/1/9815340d17d4c39a30bcf974d40a10ba.png,[PLAIN]https://upload.wikimedia.org/math/4/2/0/4205da9eef0d8c79066fcc5d32d592bf.png [Broken]

    3. The attempt at a solution
    I'm just starting to learn this equation so just know that n=0, ρ(r)=ρc is the solution for a constant density in compressible sphere.

    Thank you for your help!
    Last edited by a moderator: May 7, 2017
  2. jcsd
  3. Oct 4, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
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