Abstract
We give some results about the dynamics of a particle moving in Euclidean three-space under the influence of the gravitational force induced by a fixed homogeneous circle. Our main results concern (1) singularities and (2) the dynamics in the plane that contains the circle. The study presented here is purely analytic.
| Original language | English |
|---|---|
| Pages (from-to) | 47-75 |
| Number of pages | 29 |
| Journal | Advanced Nonlinear Studies |
| Volume | 7 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 2007 |
Keywords
- Central force
- Circle problem
- Circular orbits
- Gravitational force
- Singularities
- Stability
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