V = k r^4 potential

[yxgao]

Assume energy greater than 0.
Consider cases in which k is either + or - and l is either 0 or +.


Using your tuition, what are the possible orbits?


k<0:
l=0: falls to the center
l=+: hyperbola or it falls to the center

k>0:
l=0: hyperbola
l=+: hyperbola or it falls to the center

what about circular orbits?

[yxgao]

Is this question more difficult than it sounds? There are no responses from anyone! :)