Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Mass-Luminosity derivation help

  1. May 2, 2012 #1
    1. The problem statement, all variables and given/known data
    The main sequence lifetime of a star, T, is related to it's luminosity, L, in an equation of the form T[itex]\propto[/itex]L^-0.7
    Use this equation to derive the form of the mass-luminosity relation for main sequence stars.

    I know that I'm aiming for around L[itex]\propto[/itex]M^3.5

    Don't have a clue where to start, I know it'll be simple but I'm stuck.
    Any help is greatly appreciated. Thanks, Matt.
  2. jcsd
  3. May 3, 2012 #2


    User Avatar
    Science Advisor

    If a star has luminosity L, at what rate is it consuming energy? How much stored energy does it have? How is the lifetime related to these two quantities?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook