Periodic solutions with singularities in two dimensions in the \(n\)-body problem

DOI10.1216/RMJ-2012-42-5-1601zbMath1263.70015arXiv0811.0227OpenAlexW2963604326MaRDI QIDQ691515

Skyler C. Simmons, Tiancheng Ouyang, Duokui Yan

Publication date: 3 December 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0227

zbMATH Keywords

2n-body problemsimultaneous binary collision, symmetric periodic orbit

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10) Numerical problems in dynamical systems (65P99) Collisions in celestial mechanics, regularization (70F16)

Related Items

New Phenomena in the Spatial Isosceles Three-Body Problem with Unequal Masses ⋮ Existence and stability of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem ⋮ Families of double symmetric ``Schubart-like periodic orbits ⋮ Linear stability analysis of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem ⋮ Stability of the rhomboidal symmetric-mass orbit ⋮ Existence of the Broucke periodic orbit and its linear stability ⋮ A simple existence proof of Schubart periodic orbit with arbitrary masses ⋮ Minimizing periodic orbits with regularizable collisions in the \(n\)-body problem ⋮ Stability of Broucke's isosceles orbit ⋮ A new collision-based periodic orbit in the three-dimensional eight-body problem ⋮ Classification of periodic orbits in the planar equal-mass four-body problem

Cites Work

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