Double choreographical solutions for \(n\)-body type problems
From MaRDI portal
Publication:850708
DOI10.1007/s10569-006-9030-0zbMath1219.70031OpenAlexW2101277861MaRDI QIDQ850708
Susanna Terracini, Vivina Barutello
Publication date: 6 November 2006
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10569-006-9030-0
Variational inequalities (49J40) Celestial mechanics (70F15) (n)-body problems (70F10) Nonlinear ordinary differential operators (34L30)
Related Items (4)
New periodic solutions for planar \((N+2)\)-body problems ⋮ A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses ⋮ The family of planar periodic orbits generated by the equal-mass four-body Schubart interplay orbit ⋮ Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem
Cites Work
- A new branch of mountain pass solutions for the choreographical 3-body problem
- Periodic solutions to some problems of \(n\)-body type
- A minimax method for a class of Hamiltonian systems with singular potentials
- On the existence of collisionless equivariant minimizers for the classical \(n\)-body problem
- A bisection algorithm for the numerical mountain pass
- Simple Choreographic Motions of N Bodies: A Preliminary Study
- Conservative Dynamical Systems Involving Strong Forces
- Action minimizing orbits in then-body problem with simple choreography constraint
- Minima of the action integral in the Newtonian problem of 4 bodies with equal masses: `Hip-hop' orbits
- A remarkable periodic solution of the three-body problem in the case of equal masses
- Action-minimizing orbits in the parallelogram four-body problem with equal masses
- The family \(P_{12}\) of the three-body problem -- the simplest family of periodic orbits, with twelve symmetries per period
This page was built for publication: Double choreographical solutions for \(n\)-body type problems
