Spatial restricted rhomboidal five-body problem and horizontal stability of its periodic solutions

DOI10.1007/s10569-012-9462-7zbMath1342.70030OpenAlexW2009405272MaRDI QIDQ736942

Marcelo Marchesin, Claudio Vidal

Publication date: 5 August 2016

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

Full work available at URL: https://doi.org/10.1007/s10569-012-9462-7

zbMATH Keywords

Sitnikov problemhorizontal stabilityrestricted five-body problemrhombus central configuration

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) (n)-body problems (70F10)

Related Items (5)

On the global families of periodic solutions of a generalized Sitnikov problem ⋮ Numerical study of the zero velocity surface and transfer trajectory of a circular restricted five-body problem ⋮ The Sitnikov problem for several primary bodies configurations ⋮ Periodic solutions of a generalized Sitnikov problem ⋮ The Restricted Five-Body Problem With Cyclic Kite Configuration

Cites Work

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• On the circular Sitnikov problem: the alternation of stability and instability in the family of vertical motions
• Periodic and quasi-periodic motions of a solar sail close to \(SL _{1}\) in the Earth-Sun system
• Stability regions and quasi-periodic motion in the vicinity of triangular equilibrium points
• On the families of periodic orbits which bifurcate from the circular Sitnikov motions
• Periodic orbits and bifurcations in the Sitnikov four-body problem
• The stability of vertical motion in the \(N\)-body circular Sitnikov problem
• Stability of motion in the Sitnikov 3-body problem
• Restricted rhomboidal five-body problem

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