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Triple Collision in the Quasi-Homogeneous Collinear Three-Body Problem

✍ Scribed by Ernesto Pérez-Chavela; Luz Vianey Vela-Arévalo

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
428 KB
Volume
148
Category
Article
ISSN
0022-0396

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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