Spatial collinear restricted four-body problem with repulsive Manev potential

DOI10.1007/s10569-017-9771-yzbMath1375.70035OpenAlexW2642436956MaRDI QIDQ1682187

Esther Barrabés, Josep Maria Cors, Claudio Vidal

Publication date: 28 November 2017

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/108113

zbMATH Keywords

stabilityequilibrium pointsrestricted four-body problemrepulsive Manev potential

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (11)

On the spatial collinear restricted four-body problem with non-spherical primaries ⋮ The effect of radiation pressure on the basins of convergence in the restricted four-body problem ⋮ Symmetric periodic solutions for the spatial Maxwell restricted \(N+1\)-problem with Manev potential ⋮ Unnamed Item ⋮ Stability of Equilibrium Points in the Spatially Restricted \({\boldsymbol{N+1}}\) -Body Problem with Manev Potential ⋮ Periodic solutions and KAM tori for the spatial Maxwell restricted \(N+1\)-body problem with Manev potential ⋮ A comparative study on generalized Manev potential and Newtonian potential in perturbed restricted four-body problem ⋮ On the existence of libration points in the spatial collinear restricted four-body problem within frame of repulsive Manev potential and variable mass ⋮ Equilibrium points and their stability in a new generalized planar version of the collinear restricted four-body problem ⋮ Symmetric periodic orbits in the Moulton-Copenhagen problem ⋮ On then-body problem in R4

Cites Work

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• Constraining the electric charges of some astronomical bodies in Reissner-Nordström spacetimes and generic \(r ^{ - 2}\)-type power-law potentials from orbital motions
• Ejection-collision orbits and invariant punctured tori in a restricted four-body problem
• Non-integrability of anisotropic quasi-homogeneous Hamiltonian systems.
• Homographic solutions in the planar \(n+1\) body problem with quasi-homogeneous potentials
• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES

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