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On simultaneous binary collisions in the planar n-body problem

✍ Scribed by Mohamed Sami ElBialy

Publisher
Springer
Year
1993
Tongue
English
Weight
441 KB
Volume
44
Category
Article
ISSN
0044-2275

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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

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