The 'halo' family of 3-dimensional periodic orbits in the restricted 3-body problem

Details The 'halo' family of 3-dimensional periodic orbits in the restricted 3-body problem The 'halo' family of 3-dimensional periodic orbits in the restricted 3-body problem

Aug 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976aaas.confq....b&link_type=abstract

American Institute of Aeronautics and Astronautics and American Astronautical Society, Astrodynamics Conference, San Diego, Cali

Astronomy and Astrophysics

Astronomy

Librational Motion, Lunar Orbits, Motion Stability, Orbital Mechanics, Three Body Problem, Three Dimensional Motion, Earth-Moon Trajectories, Eigenvalues, Equations Of Motion, Gravitational Effects, Lunar Occultation, Periodic Functions

Scientific paper

A study of quasi-periodic orbits about the translunar libration point conducted by Farquhar and Kamel (1973) is considered. In the analysis position is measured in a rotating frame with origin at the earth-moon barycenter. An instability of the orbits close to the libration point diminishes as the orbits grow nearer to the moon and shorter in period. The parameeters for a narrow band of stable orbits are examined. Parameter relations concerning the 'halo' orbits are presented in a number of graphs.

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