Two Families of Simply Symmetric Orbits in E3

Details Two Families of Simply Symmetric Orbits in E3 Two Families of Simply Symmetric Orbits in E3

Jan 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971ap%26ss..10...71k&link_type=abstract

Astrophysics and Space Science, Volume 10, Issue 1, pp.71-86

Astronomy and Astrophysics

Astrophysics

4

Scientific paper

Numerical processes are applied to the classical formulation of the restricted problem of three bodies in order to compute families of periodic orbits that exist inE 3 and are symmetric with respect to a plane that contains the two primaries and their axis of angular velocity. Two such families are found and their stability numbers are computed. In general, the discovery of such families proves to be extremely difficult.

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