Abstract
AbstractIn the present paper, we investigate the dynamical behavior and motion of an infinitesimal body in the Hill problem under some perturbations. As it has been commonly noticed, this problem can be seen as a particular case of the classical restricted three‐body problem. For numerical investigations, we first set the equations of motion of the infinitesimal body that we suppose having a variable mass according to Jeans' law. We get an effective and perceptible variation due to parameters in both the locations of lagrangian points, regions of motion, and basins of attraction. Finally, we examine the stability for the lagrangian points using Meshcherskii's space–time inverse transformations.
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.