A special case of the restricted three-body problem

Details A special case of the restricted three-body problem A special case of the restricted three-body problem

May 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..33...21d&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 33, May 1984, p. 21-30. In French.

Physics

Celestial Mechanics, Circular Orbits, Orbit Calculation, Three Body Problem, Euler-Lagrange Equation, Librational Motion, Periodic Functions

Scientific paper

The restricted three-body problem posed by Ichlinsky is analyzed. It is found that the motion of each of the passive masses is sufficiently close to the passive-mass motion of the problem of Kopenhague, so that particular solutions approximating the Lagrangian solutions of the Kopenhague problem can be obtained. These solutions are unstable but permit periodic solutions which are again close to the Lagrangian solutions.

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