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Homework Help: Solid Angle

  1. Mar 5, 2006 #1
    This isnt so much an astronomy question as one would think
    A perfectly black satellite is in orbit around the earth at a height of 2000 km
    What solid angle does the earth subtend when viewed from teh satellite?


    [tex] \cos \theta = \frac{6370km}{8370km} [/tex]
    WEll if we look at hte diagram the angle theta is 40.4 degrees or 0.705 radians

    we want the solid angle which is defined as
    [tex] \Omega = \int_{0}^{2 \pi} \int_{0}^{0.705} \sin \theta' d \theta' d \phi [/tex]

    is this fine?
     

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    Last edited: Mar 5, 2006
  2. jcsd
  3. Mar 6, 2006 #2

    Meir Achuz

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    Isn't that sin theta.? Remember Sohcahtoa.
     
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