Stability of the rhomboidal symmetric-mass orbit
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Publication:479953
DOI10.3934/dcds.2015.35.1zbMath1305.70028arXiv1208.3183OpenAlexW2964294194MaRDI QIDQ479953
Skyler C. Simmons, Lennard F. Bakker
Publication date: 8 December 2014
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.3183
Dynamical systems in classical and celestial mechanics (37N05) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Collisions in celestial mechanics, regularization (70F16)
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Cites Work
- Unnamed Item
- Periodic solutions with alternating singularities in the collinear four-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
- Existence and linear stability of the rhomboidal periodic orbit in the planar equal mass 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
- A variational proof of the existence of von Schubart's orbit
- A global regularisation for integrating the Caledonian symmetric four-body problem
- Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
- The symmetrical one-dimensional Newtonian four-body problem: A numerical investigation
- Lectures on celestial mechanics. Transl. from the German by C. I. Kalme.
- Index theory for symplectic paths with applications
- Generic super-exponential stability of invariant tori in Hamiltonian systems
- Numerische Aufsuchung periodischer Lösungen im Dreikörperproblem
- Stability of interplay motions
- Chaos in the one-dimensional gravitational three-body problem
- Linear stability analysis of the figure-eight orbit in the three-body problem
- The Caledonian symmetrical double binary four-body problem. I: Surfaces of zero-velocity using the energy integral
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