Central Force Problem
Central Force Problem
Central Force Problem
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<strong>Central</strong> <strong>Force</strong> <strong>Problem</strong><br />
• Consider a particle under a central force<br />
• <strong>Force</strong> F parallel to r<br />
• Assume F is conservative<br />
• V is function of |r| if F is central<br />
• Such systems are quite common<br />
• Planet around the Sun<br />
• Satellite around the Earth<br />
• Electron around a nucleus<br />
F = −∇V()<br />
r<br />
• These examples assume the body at the center is heavy<br />
and does not move<br />
O<br />
F<br />
r<br />
m
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