Motions asymptotic with respect to the triangular libration points of a circular restricted three-body problem

Details Motions asymptotic with respect to the triangular libration points of a circular restricted three-body problem Motions asymptotic with respect to the triangular libration points of a circular restricted three-body problem

Jun 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987primm..51..355m&link_type=abstract

Prikladnaia Matematika i Mekhanika (ISSN 0032-8235), vol. 51, May-June 1987, p. 355-362. In Russian.

Physics

Asymptotic Methods, Celestial Mechanics, Equations Of Motion, Libration, Three Body Problem, Equilibrium Equations, Hamiltonian Functions, Motion Stability, Trajectory Analysis

Scientific paper

The problem considered here concerns trajectories that are asymptotic with respect to the equilibrium positions of an autonomous Hamiltonian system with two degrees of freedom in the case of the strictly imaginary roots of the characteristic equation. The results are used for determining all motions that are asymptotic with respect to stable (to a first approximation) triangular libration points of a two-dimensional circular restricted three-body problem.

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