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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Celestial mechanics and dynamical astronomy 47 (1989), S. 145-172 
    ISSN: 1572-9478
    Keywords: resonance ; perturbation method ; Kirkwood gaps ; periodic orbits
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The classical problem of the dynamics in the asteroids belt is revisited in the light of recently developed perturbation methods. We consider the spatial problem of three bodies both in the circular and in the elliptic case, looking for families of periodic or quasi periodic orbits. Some criteria for deciding the stability of these families are also indicated.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Celestial mechanics and dynamical astronomy 47 (1989), S. 173-204 
    ISSN: 1572-9478
    Keywords: resonances ; perturbation method ; Kirkwood gaps ; periodic orbits
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The general theory exposed in the first part of this paper is applied to the following resonances with Jupiter's motion : 3/2, 2/1, 5/2, 3/1, 7/2, 4/1; these are the most relevant resonances for the asteroids. The whole analysis is performed in the framework of the spatial problem of three bodies, both in the circular and in the elliptic case. The results are also compared with the observed distribution of the asteroids.
    Type of Medium: Electronic Resource
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