Smooth Potential Chaos andN‐Body Simulations | Zendy

Henry E. Kandrup | Zendy; Ioannis V. Sideris | Zendy

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Smooth Potential Chaos andN‐Body Simulations

Author(s) -

Henry E. Kandrup,

Ioannis V. Sideris

Publication year - 2003

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/345948

Subject(s) - lyapunov exponent , exponent , orbit (dynamics) , physics , chaotic , periodic orbits , three body problem , tracking (education) , mathematical analysis , mathematics , statistical physics , classical mechanics , nonlinear system , quantum mechanics , computer science , psychology , pedagogy , philosophy , linguistics , artificial intelligence , engineering , aerospace engineering

Integrations in fixed N-body realisations of smooth density distributionscorresponding to a chaotic galactic potential can be used to derive reliableestimates of the largest (finite time) Lyapunov exponent X_S associated with anorbit in the smooth potential generated from the same initial condition, eventhough the N-body orbit is typically characterised by an N-body exponent X_N >>X_S. This can be accomplished either by comparing initially nearby orbits in asingle N-body system or by tracking orbits with the same initial conditionevolved in two different N-body realisations of the same smooth density.Comment: 9 pages plus 7 figures, expanded version to appear in Astrophysical Journa

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