Random Walk in Celestial Mechanics

2009, Volume 14, Number 1, pp. 7-17

Author(s): Belbruno E.

The process of random walk can be demonstrated to occur in the three-body problem. This is shown to be the case for a family of horseshoe orbits. This offers a possible alternate approach to studying special motions of this problem and other problems in celestial mechanics.

Keywords: three-body problem, random walk, horseshoe orbit, bifurcation, stability, stochastic process, hyperbolicity, collision

Citation: Belbruno E., Random Walk in Celestial Mechanics, Regular and Chaotic Dynamics, 2009, Volume 14, Number 1, pp. 7-17

DOI: 10.1134/S1560354709010031

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