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Initial mass function problem

  1. Oct 26, 2009 #1
    1. The problem statement, all variables and given/known data

    the question says, consider a newly formed globular cluster, with a total mass 10^6 times mass of the sun and an initial mass function dN/dm = a.m^-2.35 in the mass range 0.1 - 20 times mass of the sun, where m = M/mass of the sun.
    find the constant a. (answer : 1.9 x10^5)
    thanks.

    2. Relevant equations



    3. The attempt at a solution

    the number of stars in a globular cluster are between 10^4 - 10^6. but N from the above equation should be smaller as the mass range is from 0.1 to 20 times sun's mass. If I can find that N the equation is a piece of cake.
     
  2. jcsd
  3. Oct 26, 2009 #2

    gabbagabbahey

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  4. Oct 26, 2009 #3
    I'm really sorry about that ... wasn't aware of that. I thought if I could reframe the question and start afresh
     
  5. Oct 26, 2009 #4

    gabbagabbahey

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    After looking up "initial mass function", it looks like the number of stars in the mass range [itex]m_0[/itex] to [itex]m_1[/itex] is given by

    [tex]N=\int_{m_0}^{m_1}\frac{dN}{dm}mdm[/tex]

    Have you tried performing this integration?
     
  6. Oct 26, 2009 #5
    Yes this time I got it. Thank you very much
     
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