Bifurcation graphs for the CR3BP via aymplectic methods

• Verfasst von: Moreno, Agustin [VerfasserIn]
• Verfasst von: Aydin, Cengiz [VerfasserIn]
• Verfasst von: Koert, Otto van [VerfasserIn]
• Verfasst von: Frauenfelder, Urs [VerfasserIn]
• Verfasst von: Koh, Dayung [VerfasserIn]
• Titel: Bifurcation graphs for the CR3BP via aymplectic methods
• Titelzusatz: on the Jupiter-Europa and Saturn-Enceladus systems
• Verf.angabe: Agustin Moreno, Cengiz Aydin, Otto Van Koert, Urs Frauenfelder, Dayung Koh
• E-Jahr: 2024
• Jahr: 19 November 2024
• Umfang: 51 S.
• Illustrationen: Illustrationen
• Fussnoten: Gesehen am 14.05.2025
• Titel Quelle: Enthalten in: The Journal of the astronautical sciences
• Ort Quelle: Berlin : Springer, 1997
• Jahr Quelle: 2024
• Band/Heft Quelle: 71(2024), 6, Artikel-ID 51, Seite 1-51
• ISSN Quelle: 2195-0571
• DOI: doi:10.1007/s40295-024-00462-7
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1925670287

Abstract

In this article, using the symplectic methods developed by Moreno and Frauenfelder (aimed at analyzing periodic orbits, their stability and their bifurcations), we will carry out numerical studies concerning periodic orbits in the Jupiter-Europa and Saturn-Enceladus systems. We will put emphasis on planar-to-spatial bifurcations, from deformation of the families in Hill’s lunar problem studied by Aydin. We will also provide an algorithm for the numerical computation of Conley-Zehnder indices, which are instrumental in practice for determining which families of orbits connect to which. As an application, we use our tools to analyze a well-known family of Halo orbits that approaches Enceladus at an altitude of 29 km, which bears interest for future space missions that visit the water plumes.