Applications of gravity assists in the bicircular and bielliptic restricted four-body problem

Kenta Oshima, Tomohiro Yanao

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    5 Citations (Scopus)

    Abstract

    We explore two ways of gravity assists concerning three-body energy and twobody energy in the planar restricted four-body problem. The first is concerned with changing dynamical objects of the restricted three-body problem such as energy of orbits and energetically forbidden region via gravity assists within the framework of the restricted four-body problem. As an application, we propose a method of finding nominal transfer trajectories between Lyapunov orbits of different energies without fuel consumption. The second is concerned with revealing time-dependent analogues of invariant manifolds of resonant orbits directly in the restricted four-body problem. For this purpose, we employ the method of Lagrangian coherent structures as a visual aid. We then identify homoclinic and heteroclinic connections of resonant orbits in the restricted four-body problem, which could be applicable to the low-energy exploration of the moons of Jupiter.

    Original languageEnglish
    Title of host publicationAdvances in the Astronautical Sciences
    PublisherUnivelt Inc.
    Pages503-522
    Number of pages20
    Volume152
    ISBN (Print)9780877036111
    Publication statusPublished - 2014
    Event24th AAS/AIAA Space Flight Mechanics Meeting, 2014 - Mexico, United States
    Duration: 2014 Jan 262014 Jan 30

    Other

    Other24th AAS/AIAA Space Flight Mechanics Meeting, 2014
    CountryUnited States
    CityMexico
    Period14/1/2614/1/30

    ASJC Scopus subject areas

    • Aerospace Engineering
    • Space and Planetary Science

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  • Cite this

    Oshima, K., & Yanao, T. (2014). Applications of gravity assists in the bicircular and bielliptic restricted four-body problem. In Advances in the Astronautical Sciences (Vol. 152, pp. 503-522). Univelt Inc..