Numerical investigation of the phase space of the Caledonian Symmetric Double Binary problem

Details Numerical investigation of the phase space of the Caledonian Symmetric Double Binary problem Numerical investigation of the phase space of the Caledonian Symmetric Double Binary problem

May 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002padeu..12...45s&link_type=abstract

2nd Workshop of Young Researchers in Astronomy & Astrophysics, Publications of the Astronomy Department of the Eötvös University

Astronomy and Astrophysics

Astrophysics

Scientific paper

The hierarchical stability and evolution of the restricted four-body model called the Caledonian Symmetric Double Binary Problem (CSDBP) is studied through the use of the topology of the phase space. The analytical stability criterion derived for the CSDBP by Steves and Roy (2001) is verified numerically for the coplanar CSDBP. Numerical integrations were performed for a wide range of initial conditions and a variety of values of Szebehely's constant C0, a combination of the total energy and angular momentum of the system. These show that for C0 > C0_crit the systems undergo no change in their hierarchical arrangement, as predicted by the analytical stability criterion. They are therefore considered to be hierarchically stable.

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