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Paper: Analytical Estimates of the Maximum Lyapunov Exponents in Problems of Celestial Mechanics
Volume: 316, Order and Chaos in Stellar and Planetary Systems
Page: 20
Authors: Shevchenko, I.I.
Abstract: Dynamical chaos caused by the presence of spin-orbit and orbital resonances in the motion of bodies of the Solar system is studied. The “separatrix map” method of analytical estimation of the maximum Lyapunov characteristic exponents (Shevchenko 2000a, 2002), developed in the framework of a model of the nonlinear resonance as a perturbed pendulum, is considered. The accuracy of some basic relations is improved. Current applications of the method are reviewed and discussed. These applications comprise the problem of the chaotic rotational dynamics of planetary satellites, the problem of the chaotic orbital dynamics of asteroids, and the problem of the chaotic orbital dynamics of satellite systems.
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