Closed families of periodic solutions of the restricted three-body problem
The plane circular restricted three-body problem has infinitely many families of symmetric periodic
solutions (SPS). Among natural families of SPS, there are some that close upon themselves when the
parameter changes (the family c, for example). These families preserve this property for all
admissible values of the mass parameter µ. There is, however, another type of closed families of SPS that exist only in some intervals of values of µ, and which appear as a result of
self-bifurcations of some families of SPS. These type of closed families is poorly understood.
In this paper we describe an initial part of an infinite cascade of self-bifurcations of the natural family i (4 bifurcations).
Publication language:russian, страниц:27
Mathematical problems and theory of numerical methods