Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995cemda..61..181a&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 61, Issue 2, pp.181-196
Astronomy and Astrophysics
Astronomy
Periodic Solutions, Stability, Restricted Three-Body Problem
Scientific paper
The periodic solutions of the restricted three-body problem representing analytic continuations of Keplerian rectilinear periodic motions are well known (Kurcheeva, 1973). Here the stability of these solutions are examined by applying Poncaré's characteristic equation for periodic solutions. It is found that the isoperiodic solutions are stable and all other solutions are unstable.
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