Abstract
This paper deals with two methodologies for computing the stable and unstable manifolds of libration point orbits in series expansions. One of the procedures is based on the Lindstedt–Poincaré method, the other one on a normal form of the Hamiltonian equations of motion, and, from a geometrical point of view, both methodologies complement each other. The tools resulting from the analysis are applied in the framework of the restricted three-body problem and in the Hill problem. As examples of applicability, we consider situations dealing with usual needs related to mission analysis of libration point orbits, as well as the computation of asymptotic orbits between invariant tori.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.