# A potential V(r) = -k/r^4 A very superficial analysis

1. Dec 9, 2003

### yxgao

What are the general features of this potential? Is the particle attracted or repelled? You don't need to perform a mathematical analysis, but qualitatively, what is the general shape of the orbits? Assume energy is positive. What happens if angular momentum is zero?

2. Dec 11, 2003

### arcnets

Attracted.
Curved toward the center, but not closed (the're only closed for $V \sim r^{-1}$, Kepler motion). I guess they look like a pattern produced by a spirograph.
The body will fall into the center. From there, it will not be possible to calculate the further motion because of the singularity.