Regular and chaotic solutions of the Sitnikov problem near the 3/2 commensurability

DOI10.1023/A:1008216128436zbMath0906.70005OpenAlexW1563043759MaRDI QIDQ1392840

S. H. Pourtakdoust, Mir Abbas Jalali

Publication date: 16 February 1999

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

Full work available at URL: https://doi.org/10.1023/a:1008216128436

zbMATH Keywords

Poincaré sectionssaddle pointsheteroclinic orbitsaveraging methodinvariant torilong-time behaviourJacobian elliptic functionsrotating coordinate system\(3\pi\)-periodic solutions

Mathematics Subject Classification ID

Three-body problems (70F07) Bifurcations and instability for nonlinear problems in mechanics (70K50) Celestial mechanics (70F15) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (5)

Basins of Convergence in the Circular Sitnikov Four-Body Problem with Nonspherical Primaries ⋮ A new method to construct integrable approximations to nearly integrable systems in Celestial mechanics: application to the Sitnikov problem ⋮ The structure of the extended phase space of the Sitnikov problem ⋮ The Sitnikov problem investigation with the method of multiple scales ⋮ Unnamed Item

This page was built for publication: Regular and chaotic solutions of the Sitnikov problem near the 3/2 commensurability