A Nonlinear Stability Problem in the Three Dimensional Restricted Three Body Problem

Details A Nonlinear Stability Problem in the Three Dimensional Restricted Three Body Problem A Nonlinear Stability Problem in the Three Dimensional Restricted Three Body Problem

Jul 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972cemec...5..502a&link_type=abstract

Celestial Mechanics, Volume 5, Issue 4, pp.502-511

Physics

1

Scientific paper

The question of whether or not there is a transfer of energy between the in-plane motion and out-of-plane motion in the neighborhood ofL 4 in the restricted problem of three bodies is investigated in this paper. The in-plane motion is assumed to be finite and the out-of-plane motion to be infinitesimal. The equation governing the out-of-plane motion becomes one with time varying coefficients. The stability of this equation is then investigated using Lie Series.

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