Linear stability analysis of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem

DOI10.1016/J.JMAA.2012.03.022zbMath1314.70009arXiv1105.5618OpenAlexW2602123237MaRDI QIDQ429270

Skyler C. Simmons, Lennard F. Bakker, Scott C. Mancuso

Publication date: 19 June 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5618

zbMATH Keywords

regularizable binary collisionsingular periodic orbitsymmetry reduction method

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) (n)-body problems (70F10) Collisions in celestial mechanics, regularization (70F16)

Related Items (5)

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 ⋮ Stability of the rhomboidal symmetric-mass orbit ⋮ Stability of Broucke's isosceles orbit ⋮ A new collision-based periodic orbit in the three-dimensional eight-body problem

Cites Work

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