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Limiting case for an angle in an equation

  1. Nov 3, 2016 #1
    1. The problem statement, all variables and given/known data
    7691_F9_E4254_AB9929_EB8_EFE7135_F1_BF765_F8820_D71_ABADB.jpg

    2. Relevant equations
    The one in the middle with cot (big tetha)

    3. The attempt at a solution
    I have no ideea how he finds the limiting cases for V<v0; v0<V and for V> v0/sqrt (1-v0^2) .
    The problem is from Landau course for theoretical physics, volume 2: The Classical Theory of Fields. page 35.
    I have been struggling with this problem for quite some time but made no real progress. Any bit of advice or even a full derivation step by step would be much appreciated. Is not a homework in the real sense btw. Thank you.
     
  2. jcsd
  3. Nov 4, 2016 #2

    TSny

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    What is the independent variable for finding the extrema of
    upload_2016-11-4_14-22-13.png
    ?
     
  4. Nov 5, 2016 #3
    I would say the independent variable is tetha_0 since for each case we set V and V0 constant.
     
  5. Nov 5, 2016 #4

    TSny

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    Yes. Did you try finding the extrema of the right-hand side of the cotΘ expression?
     
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