| Autor: |
Bakker, Lennard F., Ouyang, Tiancheng, Yan, Duokui, Simmons, Skyler |
| Rok vydání: |
2010 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s10569-011-9358-y |
| Popis: |
We extend our previous analytic existence of a symmetric periodic simultaneous binary collision orbit in a regularized fully symmetric equal mass four-body problem to the analytic existence of a symmetric periodic simultaneous binary collision orbit in a regularized planar pairwise symmetric equal mass four-body problem. We then use a continuation method to numerically find symmetric periodic simultaneous binary collision orbits in a regularized planar pairwise symmetric 1, m, 1, m four-body problem for $m$ between 0 and 1. Numerical estimates of the the characteristic multipliers show that these periodic orbits are linearly stability when $0.54\leq m\leq 1$, and are linearly unstable when $0Comment: 6 figures |
| Databáze: |
arXiv |
| Externí odkaz: |
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