Families of double symmetric ``Schubart-like periodic orbits
From MaRDI portal
Publication:399970
DOI10.1007/s10569-013-9509-4zbMath1293.70058OpenAlexW1973322431MaRDI QIDQ399970
Publication date: 20 August 2014
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10569-013-9509-4
(n)-body problems (70F10) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)
Related Items (4)
Determination of the doubly symmetric periodic orbits in the restricted three-body problem and Hill's lunar problem ⋮ Symmetric periodic orbits in three sub-problems of the \(N\)-body problem ⋮ Ejection-collision orbits in two degrees of freedom problems in celestial mechanics ⋮ The family of planar periodic orbits generated by the equal-mass four-body Schubart interplay orbit
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Periodic solutions with alternating singularities in the collinear four-body problem
- Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem
- Existence and stability of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem
- On the existence of doubly symmetric ``Schubart-like periodic orbits
- Linear stability analysis of symmetric periodic simultaneous binary collision orbits in the planar pairwise symmetric four-body problem
- Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem
- Periodic solutions with singularities in two dimensions in the \(n\)-body problem
- Minimizing periodic orbits with regularizable collisions in the \(n\)-body problem
- A family of symmetrical Schubart-like interplay orbits and their stability in the one-dimensional four-body problem
- A topological existence proof for the Schubart orbits in the collinear three-body problem
- Regularization of simultaneous binary collisions and solutions with singularity in the collinear four-body problem
- Triple collision in the planar isosceles three body problem
- Triple collision in the collinear three-body problem
- Oscillatory orbits in the planar three-body problem with equal masses
- The symmetrical one-dimensional Newtonian four-body problem: A numerical investigation
- A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
- Heteroclinic connections between triple collisions and relative periodic orbits in the isosceles three-body problem
- Numerische Aufsuchung periodischer Lösungen im Dreikörperproblem
- Heteroclinic Phenomena in the Isosceles Three-Body Problem
- Qualitative study of the planar isosceles three-body problem
- Orbits of the Three-Body Problem Which Pass Infinitely Close to Triple Collision
This page was built for publication: Families of double symmetric ``Schubart-like periodic orbits
