New Families of Periodic Orbits in Hill's Problem of Three Bodies

Details New Families of Periodic Orbits in Hill's Problem of Three Bodies New Families of Periodic Orbits in Hill's Problem of Three Bodies

Mar 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003cemda..85..223h&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 85, Issue 3, p. 223-246 (2003).

Astronomy and Astrophysics

Astronomy

8

Hill'S Problem, Periodic Orbits, Second Species Families, Numerical Integration

Scientific paper

The search for symmetric periodic solutions of Hill's problem, begun in Hénon (1996) for simple-periodic orbits, is extended to double- and triple-periodic orbits. Seven new families are found. We also complete the description of family g3, begun in Hénon (1970). In all of these families, both ends consist of orbits of increasing dimensions with Γ --> -∞. They can be continued into second species families, which are identified.

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