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Lagrangians and P-Conservation

by moonman
Tags: lagrangians, pconservation
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moonman
#1
Oct19-06, 02:30 PM
P: 21
I have a problem with a particle experiencing a central force towards some origin, as well as a gravitational force downwards. I've calculated the Lagrangian, and the equations of motion. Now I'm being asked to see if the system follows conservation of angular momentum. How do I do this? I know it has something to do with seeing if the system is invariant of rotation, but how do I check for that?
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Euclid
#2
Oct19-06, 10:11 PM
P: 214
If [tex]\frac{\partial L}{\partial q} =0[/tex] then the conjugate momentum [tex]\frac{\partial L}{\partial \dot{q}}[/tex] is a conserved quantity.

If that doesn't clear things up, then post what you have for the Lagrangian.
JohanL
#3
Oct20-06, 02:12 AM
P: 139
But the conjugate momentum is the same as the angular momentum only in some cases.
Compute H and chech if H commutes with J.


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