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Potential conserved quantities

  1. Dec 11, 2005 #1

    if i have mass possess potential U(x)=-Gm1m2/(x^2+y^2+(kz)^2 )^1/2 , i said angular momentum of z is conserved but not angular momentum of x , y .. is it correct ?

    what else is conserved ? energy ?
  2. jcsd
  3. Dec 11, 2005 #2

    Physics Monkey

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    Yes, the z component of angular momentum is conserved, but the other two are not unless k = 1. As for other conserved quantities, what do you think? You have a potential ...
  4. Dec 11, 2005 #3
    Are you familliar with Lagrangian mechanics? If so you can use Noether's Theorem to calculate conserved quantities:


    It may very well be quicker to just use your physical intuition though.
  5. Dec 11, 2005 #4
    My thought : angular momentum of z component and the energy of the system is conserved ... Pls tell me if there are more quantities are conserved
    Last edited: Dec 11, 2005
  6. Dec 11, 2005 #5
    no i am not familiar to Langrage mechanics - will learn next 2 months
  7. Dec 12, 2005 #6
    So i am correct ?? angular momentum of z and energy are conserved ?
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