作用圏境界軌道の共鳴安定性  [in Japanese] Resonant Stability for the Orbits around Sphere of Influence  [in Japanese]

Access this Article

Search this Article

Author(s)

Abstract

The stability of the orbits around the sphere of influence of the secondary body in the circular restricted three-body problem is discussed. This orbit is called “Pseudo Orbit” here. Though there exists a stability limit for the inclination of the pseudo orbit, the whole story of the instability was not resolved. In this paper, it is shown at first that the out-of-plane motion of the pseudo orbit causes disturbances in the in-plane motion by the method of virtual energy. Then, it is shown that the disturbances are governed by the Mathieu’s equation which has the periodic coefficient, and the rigorous mathematical property of the instability of the pseudo orbit is presented.

Journal

  • JOURNAL OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES

    JOURNAL OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES 50(580), 210-214, 2002-05-05

    THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES

References:  3

  • Orbital Stability of Planetary Quasi-Satellites

    MIKKOLA S.

    The Dynamical Behavior of Our Planetary System, 345-355, 1997

    Cited by (1)

  • <no title>

    寺沢寛一編

    自然科学者のための数学概論(応用編), 1960

    Cited by (1)

  • <no title>

    歌島昌由

    作用圏境界を飛行する軌道の力学的性質と小衛星探査への応用, 2001

    Cited by (1)

Codes

  • NII Article ID (NAID)
    10008213715
  • NII NACSIS-CAT ID (NCID)
    AA11307372
  • Text Lang
    JPN
  • Article Type
    ART
  • ISSN
    13446460
  • NDL Article ID
    6170742
  • NDL Call No.
    Z74-B503
  • Data Source
    CJP  NDL  J-STAGE 
Page Top