# potential conserved quantities

Tags: conserved, potential, quantities
 P: 37 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 ?
 PF Patron HW Helper Sci Advisor P: 1,320 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 ...
 P: 308 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.
P: 37

## potential conserved quantities

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
 P: 37 no i am not familiar to Langrage mechanics - will learn next 2 months
 P: 37 So i am correct ?? angular momentum of z and energy are conserved ?

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