Closed families of periodic solutions of a restricted three-body problem

Details Closed families of periodic solutions of a restricted three-body problem Closed families of periodic solutions of a restricted three-body problem

Jun 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009sosyr..43..253b&link_type=abstract

Solar System Research, Volume 43, Issue 3, pp.253-276

Other

95.10.Ce

Scientific paper

The planar restricted three-body problem has an infinite number of families of symmetric periodic solutions (SPSs). The natural SPS families include certain families which are self-closed with respect to small variations in a parameter. These families remain closed for any admissible variations in the mass parameter μ. However, there are closed SRS families of another type, which exist only in bounded intervals of μ and are formed via self-bifurcations of some SPS families. This type of SPS families is poorly understude. This work describes the initial stage (4 bifurcations) of a bifurcation cascade of the natural family i and points out other closed SPS families known to date.

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