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Regular and Chaotic Dynamics, 2009, Volume 14, Issue 1, Pages 7–17
DOI: https://doi.org/10.1134/S1560354709010031 (Mi rcd537) 		 
This article is cited in 1 scientific paper (total in 1 paper)

JÜRGEN MOSER – 80

Random Walk in Celestial Mechanics

E. Belbruno

Department of Astrophysical Sciences, Princeton University, Princeton, NJ 08544-1001, U.S.A.
Citations (1)
DOI: https://doi.org/10.1134/S1560354709010031
Abstract: 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.
Received: 04.01.2009
Accepted: 14.01.2009
Bibliographic databases:
Document Type: Personalia
MSC: 37N05, 60G35, 60G50, 70F07, 70F15
Language: English
Citation: E. Belbruno, “Random Walk in Celestial Mechanics”, Regul. Chaotic Dyn., 14:1 (2009), 7–17
Citation in format AMSBIB
\Bibitem{Bel09}
\by E. Belbruno
\paper Random Walk in Celestial Mechanics
\jour Regul. Chaotic Dyn.
\yr 2009
\vol 14
\issue 1
\pages 7--17
\mathnet{http://mi.mathnet.ru/rcd537}
\crossref{https://doi.org/10.1134/S1560354709010031}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2480949}
\zmath{https://zbmath.org/?q=an:1229.37104}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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