A perturbation method for problems with two critical arguments View Full Text


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Article Info

DATE

1986-09

AUTHORS

Jacques Henrard, Anne Lemaitre

ABSTRACT

We develop a semi-numerical perturbation method for problems with two critical arguments. We apply it to a truncated model of the restricted, elliptic three body problem in case of a resonance 2/1 We identify regions of the phase space where chaotic motion is expected because of the presence of homoclinic orbits. One of these regions, the largest one, sits at the entrance to the resonance zone and is associated with a 2/1 resonance between the two critical arguments. The results are compared with numerical results due to Murray (1986) More... »

PAGES

213-238

References to SciGraph publications

  • 1986-02. Canonical solution of the two critical argument problem in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1983-06. A second fundamental model for resonance in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1984-02. A simple derivation of capture probabilities for the J+1:J and J+2:J orbit-orbit resonance problems in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1974-12. Virtual singularities in the artificial satellite theory in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1982-05. Capture into resonance: An extension of the use of adiabatic invariants in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1986-04. The reducing transformation and Apocentric Librators in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1984-09. Formation of the Kirkwood gaps in the asteroid belt in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
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    http://scigraph.springernature.com/pub.10.1007/bf01234307

    DOI

    http://dx.doi.org/10.1007/bf01234307

    DIMENSIONS

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