Infinite bifurcations in the restricted three-body problem

Details Infinite bifurcations in the restricted three-body problem Infinite bifurcations in the restricted three-body problem

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...133...49c&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 133, no. 1, April 1984, p. 49-51.

Mathematics

4

Branching (Mathematics), Motion Stability, Orbital Mechanics, Three Body Problem, Celestial Mechanics, Degrees Of Freedom, Hamiltonian Functions, Period Doubling, Periodic Functions

Scientific paper

In generic dynamical systems of two degrees of freedom one often sees infinite sequences of period doubling pitchfork bifurcations in the characteristics of periodic orbits. The authors found the same phenomenon in a number of families of periodic orbits in the restricted three-body problem. They describe bifurcations of the families c and n (Hénon, 1965) in the case of equal masses of the primaries.

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