On the stability of the lagrangian points in the spatial restricted problem of three bodies View Full Text


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Article Info

DATE

1990-03

AUTHORS

Alessandra Celletti, Antonio Giorgilli

ABSTRACT

The problem of stability of the Lagrangian equilibrium point of the circular restricted problem of three bodies is investigated in the light of Nekhoroshev-like theory. Looking for stability over a time interval of the order of the estimated age of the universe, we find a physically relevant stability region. An application of the method to the Sun-Jupiter and the Earth-Moon systems is made. Moreover, we try to compare the size of our stability region with that of the region where the Trojan asteroids are actually found; the result in such case is negative, thus leaving open the problem of the stability of these asteroids. More... »

PAGES

31-58

References to SciGraph publications

  • 1978-04. Formal integrals for an autonomous Hamiltonian system near an equilibrium point in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1988-03. Construction of analytic KAM surfaces and effective stability bounds in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1971-10. Behavior of Hamiltonian systems close to integrable in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
  • 1990-03. Analysis of resonances in the spin-orbit problem in Celestial Mechanics: The synchronous resonance (Part I) in ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK
  • Journal

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf00048985

    DOI

    http://dx.doi.org/10.1007/bf00048985

    DIMENSIONS

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