Orbital Evolution of Massive Close Binary Under the Influence of Small Bodies
Starting from the hypothesis by N.S.Kardashev of the existence of a black hole binary in the centre of the Galaxy, the orbital evolution of a massive close binary under the influence of flyby of small bodies is studied. It is shown that some often employed in qualitative investigations simplified approaches such as introducing massless probe particles instead of small mass bodies, replacing combined action of small bodies on the binary by the summation over individual effects of each body separately, neglecting the direct gravitational interaction of small bodies, etc., affect the real estimation of the variation of the mutual distance between the binary components resulting from the numerical integration of the equations of motion of the rigorous N body problem (two massive bodies and N-2 small bodies). Simulating calculations demonstrate for different initial values both for increasing and decreasing of the distances between the binary components not excluding the possibility for the long-term existence of the binary. Analytical investigation of this question in the framework of the three body problem assuming the sufficiently distant hyperbolic flyby of the small mass leads in the first approximation to quadratures which turn out to be rather complicated.
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