Resonance, Chaos and Stability: The Three-Body Problem in Astrophysics

DOI10.1007/978-1-4020-8431-7_3zbMath1305.70025OpenAlexW1615261101MaRDI QIDQ5171866

Rosemary A. Mardling

Publication date: 12 February 2015

Published in: The Cambridge N-Body Lectures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-8431-7_3

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Celestial mechanics (70F15) (n)-body problems (70F10) Nonlinear resonances for nonlinear problems in mechanics (70K30)

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Extreme gravitational interactions in the problem of three black holes in general relativity, The dynamical structure of the MEO region: long-term stability, chaos, and transport, Stability criteria for hierarchical triple systems

Cites Work

• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
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