Minimizing periodic orbits with regularizable collisions in the \(n\)-body problem
From MaRDI portal
Publication:717449
DOI10.1007/S00205-010-0334-6zbMath1291.70049OpenAlexW2056102455MaRDI QIDQ717449
Publication date: 4 October 2011
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-010-0334-6
Related Items (18)
Binary-syzygy sequence of restricted few-body-few-center problem with symmetric primaries ⋮ Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem ⋮ The variational minimization solutions of 3-body problems with 2 fixed centers ⋮ Families of double symmetric ``Schubart-like periodic orbits ⋮ The rhomboidal 4-body problem revisited ⋮ Linear stability analysis of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem ⋮ Symmetric periodic orbits in three sub-problems of the \(N\)-body problem ⋮ Stability of the rhomboidal symmetric-mass orbit ⋮ Existence and linear stability of the rhomboidal periodic orbit in the planar equal mass four-body problem ⋮ Existence of the Broucke periodic orbit and its linear stability ⋮ An existence proof of a symmetric periodic orbit in the octahedral six-body problem ⋮ A simple existence proof of Schubart periodic orbit with arbitrary masses ⋮ Connecting planar linear chains in the spatial \(N\)-body problem ⋮ Stability of Broucke's isosceles orbit ⋮ New periodic solutions for Newtonian \(n\)-body problems with dihedral group symmetry and topological constraints ⋮ Variational proof of the existence of the super-eight orbit in the four-body problem ⋮ Action minimizing orbits in the 2+2- and 3+2-body problems with 2 fixed centers ⋮ A new collision-based periodic orbit in the three-dimensional eight-body problem
Cites Work
- Unnamed Item
- Periodic solutions with singularities in two dimensions in the \(n\)-body problem
- The principle of symmetric criticality
- A topological existence proof for the Schubart orbits in the collinear three-body problem
- A variational proof of the existence of von Schubart's orbit
- Binary decompositions for planar \(N\)-body problems and symmetric periodic solutions
- On the existence of collisionless equivariant minimizers for the classical \(n\)-body problem
- Numerische Aufsuchung periodischer Lösungen im Dreikörperproblem
- A remarkable periodic solution of the three-body problem in the case of equal masses
This page was built for publication: Minimizing periodic orbits with regularizable collisions in the \(n\)-body problem
