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Three-Body Problem

Celestial Mechanics, 1984
In the first part [the authors, Acta Astronaut. 11, 415-422 (1984; Zbl 0551.70004)] we have analyzed three-body systems satisfying the condition \(r\leq kR\), where k is a suitable constant, r the mutual distance of the two masses of the ''binary'' and R the distance between the center of mass of the binary and the ''third mass''.
Marchal, Christian   +2 more
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A Trilinear Three-Body Problem

International Journal of Bifurcation and Chaos, 2003
In this paper we present a simplified model of a three-body problem. Place three parallel lines in the plane. Place one mass on each of the lines and let their positions evolve according to Newton's inverse square law of gravitation. We prove the KAM theory applies to our model and simulations are presented. We argue that this model provides an ideal,
G. Lodge, J. A. Walsh, M. Kramer
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