On the Chermnykh-like problems. I. The mass parameter \(\mu = 0.5\)

DOI10.1007/S10509-006-9065-4zbMath1136.85304arXivastro-ph/0610735OpenAlexW3100994808MaRDI QIDQ863254

Ing-Guey Jiang, Li-Chin Yeh

Publication date: 25 January 2007

Published in: Astrophysics and Space Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/astro-ph/0610735

zbMATH Keywords

Planetary systemsStellar dynamics

Mathematics Subject Classification ID

Galactic and stellar dynamics (85A05) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (7)

Periodic orbits in the generalized photogravitational Chermnykh-like problem with power-law profile ⋮ Existence of equilibrium points and their linear stability in the generalized photogravitational Chermnykh-like problem with power-law profile ⋮ Motion in the generalized restricted three-body problem ⋮ Trajectories of \(L _{4}\) and Lyapunov characteristic exponents in the generalized photogravitational Chermnykh-like problem ⋮ Periodic solutions around the out-of-plane equilibrium points in the restricted three-body problem with radiation and angular velocity variation ⋮ Trajectory and stability of Lagrangian point \(L_{2}\) in the Sun-Earth system ⋮ Linear stability of equilibrium points in the generalized photogravitational Chermnykh's problem

Uses Software

• BRENT

Cites Work

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• Nonlinear stability of the Lagrangian libration points in the Chermnykh problem
• Unrestricted planar problem of a symmetric body and a point mass. Triangular libration points and their stability
• DYNAMICAL EFFECTS FROM ASTEROID BELTS FOR PLANETARY SYSTEMS
• BIFURCATION FOR DYNAMICAL SYSTEMS OF PLANET–BELT INTERACTION

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