Potential conserved quantities

  1. hi,

    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. Physics Monkey

    Physics Monkey 1,358
    Science Advisor
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    Chegg
    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. Are you familliar with Lagrangian mechanics? If so you can use Noether's Theorem to calculate conserved quantities:

    http://www.mathpages.com/home/kmath564/kmath564.htm

    It may very well be quicker to just use your physical intuition though.
     
  5. 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
    thanks
     
    Last edited: Dec 11, 2005
  6. no i am not familiar to Langrage mechanics - will learn next 2 months
     
  7. So i am correct ?? angular momentum of z and energy are conserved ?
     
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