Physics · Classical Mechanics
A particle of mass m having a non-zero angular momentum of magnitude L is subject to a central force potential V(r) = kr4, where k is a positive constant. What is the radius r at which it will have a circular orbit, and will this orbit be stable or unstable?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1r = (L2 / mk)1/4, stable orbit
- 2r = (L2 / mk)1/4, unstable orbit
- 3r = (L2 / 4mk)1/6, stable orbit✓
- 4r = (L2 / 4mk)1/6, unstable orbit
Correct answer
r = (L2 / 4mk)1/6, stable orbit
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