On basic families of three-dimensional periodic orbits of three massive bodies and their stability

Details On basic families of three-dimensional periodic orbits of three massive bodies and their stability On basic families of three-dimensional periodic orbits of three massive bodies and their stability

May 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992ap%26ss.191..223p&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 191, no. 2, May 1992, p. 223-229.

Astronomy and Astrophysics

Astrophysics

Astronomical Coordinates, Motion Stability, Orbital Elements, Three Body Problem, Center Of Mass, Coordinate Transformations, Three Dimensional Motion

Scientific paper

The basic families of three-dimensional periodic orbits of the general three-body problem are determined numerically in order to obtain a global view of the simpler patterns of periodic three-body motion in three dimensions. The stability of the orbits is also computed. It is found that most of the orbits are unstable but stability intervals do exist for some of the families.

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