Stability criterion for a light binary attracted by a heavy body

Details Stability criterion for a light binary attracted by a heavy body Stability criterion for a light binary attracted by a heavy body

Mar 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010astl...36..227v&link_type=abstract

Astronomy Letters, Volume 36, Issue 3, pp.227-230

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Double Star Dynamics, Satellites, General Three-Body Problem, Hierarchical System, Stability Of Binary

Scientific paper

Dynamical behaviour of a small binary with equal components, each of mass m, is considered under attraction of a heavy body of mass M. Differential equations of the general three-body problem are integrated numerically using the code by S. J. Aarseth (Aarseth, Zare 1974) for mass ratios m/M within 10-11-10-4 range. The direct and retrograde orbits of light bodies about each other are considered which lie either in the plane of moving their center of mass or in the plane perpendicular to it. It is shown numerically that the critical separation between the binary components which leads to disruption of binary is proportional to ( m/M)1/3. The criterion can be used for studying (in the first approximation) the motion of double stars and binary asteroids or computing the parameters of magnetic monopol and antimonopol pairs.

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