Is Angular Momentum of z and Energy Conserved?

[madking153]

hi,

if i have mass possesses 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 ?

 

[Physics Monkey]

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 ...

 

[dicerandom]

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.

 

[madking153]

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

 

[madking153]

no i am not familiar to Langrage mechanics - will learn next 2 months

 

[madking153]

So i am correct ?? angular momentum of z and energy are conserved ?