Stability in the restricted problem of three bodies with Liapounov Characteristic Numbers

DOI10.1007/BF01231104zbMath0539.70012MaRDI QIDQ3326904

William H. Jefferys, Zhaohua Yi

Publication date: 1983

Published in: Celestial Mechanics (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsattractorsstrange attractorssolar systemstability regionsLyapunov characteristic numbersstable orbitsplanar restrictedmean exponential rate of divergence of convergence of orbits

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Stability of solutions to ordinary differential equations (34D20) Orbital mechanics (70M20) Stability theory for smooth dynamical systems (37C75)

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Analysis of periodic orbits in the Saturn-Titan system using the method of poincare section surfaces ⋮ Trajectories of \(L _{4}\) and Lyapunov characteristic exponents in the generalized photogravitational Chermnykh-like problem ⋮ The onset of chaotic motion in the restricted problem of three bodies ⋮ The Lyapunov characteristic exponents-applications to celestial mechanics ⋮ The problem of small divisors in planetary motion

Cites Work

• The Lyapunov characteristic exponents as indicators of stochasticity in the restricted three-body problem
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