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Homework Help: What's the relation between angular resolution and distance

  1. Dec 5, 2016 #1
    1. The problem statement, all variables and given/known data
    At first I needed to calculate the angular resolution of a telescope (diameter 1m, for visible light) so I used θ=1.22λ/D and got 4.88x10^-7 rad. Now I am asked: "If we wished to use this telescope to image the moon, what is the closest distance two objects can be to be distinguished by such a telescope?"
    I don't understand what the relationship between angular resolution and distance is.

    2. Relevant equations

    θ=1.22λ/D
     
  2. jcsd
  3. Dec 5, 2016 #2

    jedishrfu

    Staff: Mentor

  4. Dec 5, 2016 #3
  5. Dec 5, 2016 #4

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    You cannot "convert" radians to metres.
    If two points on the moon are distance x apart, what is their angular separation when viewed from Earth?
     
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