PRECESSION AND CHAOS IN THE CLASSICAL TWO-BODY PROBLEM IN A SPHERICAL UNIVERSE

DOI10.1142/S0218127408020380zbMath1225.70007MaRDI QIDQ3520745

Nicholas J. Harmon, Martha I. Roseberry, Katherine D. Olaksen, Daniel E. Shai, John F. Lindner

Publication date: 26 August 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

perturbation theoryinitial conditions

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Two-body problems (70F05)

Related Items (1)

The spatial problem of 2 bodies on a sphere. Reduction and stochasticity

Cites Work

• Classical and quantum mechanical two body problem with central interaction on simply connected spaces of constant sectional curvature
• Comment on “Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2” [J. Math. Phys. 46, 052702 (2005)]
• Reduction of the two-body problem with central interaction on simply connected spaces of constant sectional curvature

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