A Grid Search for Families of Periodic Orbits in the Restricted Problem of Three Bodies

Details A Grid Search for Families of Periodic Orbits in the Restricted Problem of Three Bodies A Grid Search for Families of Periodic Orbits in the Restricted Problem of Three Bodies

Jul 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974cemec...9..507m&link_type=abstract

Celestial Mechanics, Volume 9, Issue 4, pp.507-512

Physics

19

Scientific paper

A method is described for the numerical determination of families of periodic orbits in the planar restricted problem of three bodies. The families are sought in their representation as curves in a two-dimensional space of parameters. A grid search is applied to the study of the evolution of satellite motion when the mass parameter μ is varied. Only that part of the space of parameters is investigated for which one of them, the relative energy constant, takes values larger than that corresponding to the inner Lagrangian pointL 2. Critical values of the mass parameter are determined for which new families of simple or double periodic orbits appear inside the closed ovals of zero velocity.

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