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Potential conserved quantities 
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#1
Dec1105, 03:08 PM

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 ? 


#2
Dec1105, 03:18 PM

Sci Advisor
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P: 1,334

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 ...



#3
Dec1105, 03:22 PM

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. 


#4
Dec1105, 06:03 PM

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 


#5
Dec1105, 06:05 PM

P: 37

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



#6
Dec1205, 05:31 PM

P: 37

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



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