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Calculating Luminosity (Easy Atronomy Question)

  1. Jan 24, 2013 #1
    Capella is the same temperature as our sun, but about ten times the suns diamter; it must be about_____ times as luminous as our star.

    Could someone please tell me how to solve this type of problem??

    I am aware of the formula R=sqrt(L)/Temp squared.

    But I'm not sure how to apply that here. Inserting my own made up radius of 2 for the sun and 20 for Capella, I come up with the answer being "100 times as luminous". But I fee like Im missing something...

    Thanks!
     
  2. jcsd
  3. Jan 24, 2013 #2

    tiny-tim

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    hi zoiberg137! :smile:
    no, that's fine :smile:

    that's exactly how these "dimensional analysis" questions work …

    R2/L is a constant

    so if you multiply R by 10, you do multiply L by 100 :wink:
     
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