Periodic solutions in the spatial elliptic restricted three-body problem

DOI10.1016/S0167-2789(01)00241-XzbMath0994.70006MaRDI QIDQ5938409

Josep Maria Cors, Jaume Soler, Conxita Pinyol

Publication date: 7 October 2002

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

existenceperturbationscontinuation methoddoubly symmetric periodic solutionsthree-dimensional elliptic restricted three-body problem

Mathematics Subject Classification ID

Three-body problems (70F07)

Related Items (7)

The effect of solar radiation pressure on the Lagrangian points in the elliptic restricted three-body problem ⋮ Periodic solutions of the elliptic isosceles restricted three-body problem with collision ⋮ Networks and Bifurcations of Eccentric Orbits in Exoplanetary Systems ⋮ Families of first kind periodic solutions of the spatial and planar elliptic restricted three-body problem with collision ⋮ Searching for periodic orbits of the spatial elliptic restricted three-body problem by double averaging ⋮ Analytic continuation in the case of non-regular dependency on a small parameter with an application to celestial mechanics ⋮ Niching genetic algorithms-based characterization of geocentric orbits in the 3D elliptic restricted three-body problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Continuation of periodic solutions in three dimensions
• Nonlinear differential equations and dynamical systems
• Doubly-symmetric periodic solutions of the spatial restricted three-body problem
• Existence of periodic orbits of the second kind in the elliptic restricted problem of three bodies
• Periodic Orbits for the Planar Newtonian Three-Body Problem Coming from the Elliptic Restricted Three-Body Problems
• A new method of perturbation theory and its application to the satellite problem of celestial mechanics.

This page was built for publication: Periodic solutions in the spatial elliptic restricted three-body problem