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
The binary collision in the N-body problem
β Scribed by Hans J. Sperling
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 589 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0019-1035
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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
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