Stability criterion for a light binary attracted by a heavy body |
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| Authors: | O O Vasilkova |
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| Institution: | (1) History of Science Department, University of Aarhus, Aarhus, 8000, Denmark; |
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| Abstract: | 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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