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| Titel: |
The collinear one-bumper, two-body problem with unequal masses |
| Auteur: |
Kaplan, Samuel R. |
| Verschenen in: |
Dynamical systems |
| Paginering: | Jaargang 13 (1998) nr. 1 pagina's 27-54 |
| Jaar: |
1998 |
| Inhoud: |
We present a special model which is a caricature of the collinear three-body problem. Near triple-collision behavior for the model is governed by the collision manifold. Using the dynamics on the collision manifold, we study the allowed sequences of bounces by generating a partition on a Poincare slice in the flow. When the ratio of masses is small, we use two subshifts of finite type to describe which sequences of bounces are guaranteed and which are excluded. There is a third class of sequences which are neither guaranteed nor excluded. We also describe the bifurcations of this system as the ratio of masses approaches zero. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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