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Astron. Astrophys. 346, 652-662 (1999)

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2. Statement of the problem

Initially, three equal masses are considered to occupy the vertices of an equilateral triangle [FORMULA] in a plane. These masses in the absence of any disturbance will move along the medians of the triangle and collide at the centroid of the triangle. Here, to avoid such a collision the masses at [FORMULA] and [FORMULA] are subjected to small perturbing velocities [FORMULA] and [FORMULA] in directions [FORMULA] and [FORMULA] respectively with [FORMULA]

We wish to study for what values of perturbing velocities [FORMULA] and [FORMULA] (i = 1, 2, 3), the asymmetry will result in systematic regularity of escape with the formation of a binary with the help of the relative distances of the participating bodies.

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© European Southern Observatory (ESO) 1999

Online publication: May 21, 1999
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