Finiteness in the planar restricted four-body problem
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Publication:1958741
DOI10.1007/s12346-010-0006-9zbMath1195.70021OpenAlexW2019708361MaRDI QIDQ1958741
Gareth E. Roberts, Julianne L. Kulevich, Christopher J. Smith
Publication date: 4 October 2010
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-010-0006-9
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)
Related Items (7)
Some enumeration problems on central configurations at the bifurcation points ⋮ Finiteness of relative equilibria in the planar generalized \(N\)-body problem with fixed subconfigurations ⋮ Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces ⋮ Bifurcations and enumeration of central configurations of some planar restricted problems ⋮ Classifying four-body convex central configurations ⋮ Equilateral chains and cyclic central configurations of the planar five-body problem ⋮ On the number of equilibria balancing Newtonian point masses with a central force
Uses Software
Cites Work
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- Finiteness of relative equilibria of the four-body problem
- Saari's conjecture for the restricted three-body problem
- The number of roots of a system of equations
- A continuum of relative equilibria in the five-body problem
- On the central configurations of the planar restricted four-body problem
- Relative equilibrium solutions in the four body problem
- A computer-assisted proof of Saari’s conjecture for the planar three-body problem
- Central configurations of four bodies with one inferior mass
- Collinear relative equilibria of the planarN-body problem
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