Stability of Equilibrium Points in the Spatially Restricted \({\boldsymbol{N+1}}\) -Body Problem with Manev Potential

DOI10.1137/23m1551912zbMath1530.70012MaRDI QIDQ6084960

Claudio Vidal, Mauricio Ascencio, Josep Maria Cors, Esther Barrabés

Publication date: 2 December 2023

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

linear stabilitymass parameterbifurcation parameterinfinitesimal massbinary collision nonexistence

Mathematics Subject Classification ID

(n)-body problems (70F10) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Cites Work

• Bifurcations and equilibria in the extended \(N\)-body ring problem
• Symmetric periodic solutions for the spatial Maxwell restricted \(N+1\)-problem with Manev potential
• On the restricted three-body problem with generalized forces
• A planar case of the \(n+1\) body problem: The ring problem
• Non-integrability of anisotropic quasi-homogeneous Hamiltonian systems.
• Spatial collinear restricted four-body problem with repulsive Manev potential
• Restricted \(N+1\)-body problem: existence and stability of relative equilibria
• Homographic solutions in the planar \(n+1\) body problem with quasi-homogeneous potentials
• Periodic solutions and KAM tori for the spatial Maxwell restricted \(N+1\)-body problem with Manev potential
• Dynamics and bifurcation of passive tracers advected by a ring of point vortices on a sphere
• Representations of complex functions, means on the regularn-gon and applications to gravitational potential
• Bifurcation of Spatial Central Configurations from Planar Ones

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