Answer by gandalf61 for Do orbits with positive energy tend to infinity?
Consider an attractive central force field with a magnitude that varies as the inverse fourth power of radial distance i.e. $F(r) = \frac {km} {r^4}$. Then we have $V(r) = - \frac {km} {3r^3}$. For a...
View ArticleDo orbits with positive energy tend to infinity?
Consider any potential field $$V = V(x)$$ (not limited to gravitational potential field, but we only consider time-independent ones) in 3-d space that satisfies the following conditions:The potential...
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