Highly perturbed periodic oscillations around a small primary

Details Highly perturbed periodic oscillations around a small primary Highly perturbed periodic oscillations around a small primary

Apr 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ap%26ss..33..385m&link_type=abstract

Astrophysics and Space Science, vol. 33, Apr. 1975, p. 385-419.

Computer Science

Numerical Analysis

6

Celestial Mechanics, Motion Stability, Orbit Calculation, Orbit Perturbation, Three Body Problem, Graphs (Charts), Lagrangian Equilibrium Points, Numerical Analysis, Solar System, Tables (Data)

Scientific paper

A numerical study of the planar restricted problem is undertaken to obtain a global view of simple periodic orbits. Previous studies of periodic orbits crossing the synodical line only twice are summarized, and a global picture of the families of periodic orbits in terms of their characteristics is presented in the part of the plane of representation near the singularity corresponding to the small primary for the case of the restricted problem with a mass parameter smaller than the critical value of Routh. The picture is found to be qualitatively different from that corresponding to a mass parameter larger than the critical value. By means of the stability parameters, four new families consisting of asymmetric periodic orbits are shown to exist as bifurcations of the families of symmetric periodic orbits.

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