Invariant rotational curves in Sitnikov's problem

DOI10.1007/BF00692994zbMath0773.70006MaRDI QIDQ1261024

Cristina Chiralt, José Martínez-Alfaro

Publication date: 29 August 1993

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

zbMATH Keywords

stabilityHamiltonianKAM theoryrestricted three-body problemeccentricityintegrable system

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Celestial mechanics (70F15)

Related Items (14)

On the global families of periodic solutions of a generalized Sitnikov problem ⋮ On the Dumb-Bell Equilibria in the Generalized Sitnikov Problem ⋮ Stability and bifurcations of even periodic orbits in the Sitnikov problem ⋮ On the manifold ``gravitational propeller in the generalized circular Sitnikov problem ⋮ Quantitative Stability of Certain Families of Periodic Solutions in the Sitnikov Problem ⋮ Transient chaos in the Sitnikov problem ⋮ Straight-line oscillations generating three-dimensional motions in the photogravitational restricted three-body problem ⋮ The manifolds of families of 3D periodic orbits associated to Sitnikov motions in the restricted three-body problem ⋮ Stability of motion in the Sitnikov 3-body problem ⋮ The structure of the extended phase space of the Sitnikov problem ⋮ Resonance tongues in the linear Sitnikov equation ⋮ Periodic solutions of a generalized Sitnikov problem ⋮ On the families of periodic orbits which bifurcate from the circular Sitnikov motions ⋮ A high order perturbation analysis of the Sitnikov problem

Cites Work

• Stable and Random Motions in Dynamical Systems
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• QUASIRANDOM DYNAMICAL SYSTEMS. I. QUASIRANDOM DIFFEOMORPHISMS
• Unnamed Item
• Unnamed Item

This page was built for publication: Invariant rotational curves in Sitnikov's problem