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Non-simultaneous Collision Periodic Solutions forN-Body Problems

✍ Scribed by Zhengrong Liu; Shiqing Zhang

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
151 KB
Volume
212
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper we prove the existence of a non-simultaneous collision T-periodic Ε½ . solution for any given T for a class of N-body type problems.

πŸ“œ SIMILAR VOLUMES

Simultaneous Binary Collisions in the Co
Simultaneous Binary Collisions in the Collinear N-Body Problem
✍ M.S. Elbialy πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 931 KB

1. We show that in the collinear \(N\)-body problem any simultaneous binary collision singularity ( \(\mathrm{SBC}\) ) of \(L\) pairs of particles, with no other collisions, is \(C^{l}\) blockregularizable, that is, we show that near such an orbit there is a \(C^{1}\) diffeomorphism from collision a

A Noncollision Periodic Solution for N-B
A Noncollision Periodic Solution for N-Body Problems
✍ Shiqing Zhang; Qing Zhou πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 99 KB

Using variational minimization methods, we prove the existence of one noncollision periodic solution for N-body type problems whose potentials are pinched between two homogeneous potentials in R k (k β‰₯ 2).

Collision–Ejection Manifold and Collecti
Collision–Ejection Manifold and Collective Analytic Continuation of Simultaneous Binary Collisions in the PlanarN-Body Problem
✍ Mohamed Sami ElBialy πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 256 KB

We study simultaneous binary collision SBC singularities of L binaries in the planar N-body problem, 2 L F N. We introduce the generalized Levi-Civita transformation and follow it by a new transformation which we call the projective transformation near a SBC singularity. We use this transformation t