Titlebook: Dynamical Chaos in Planetary Systems; Ivan I. Shevchenko Book 2020 Springer Nature Switzerland AG 2020 planetary systems.dynamical chaos.p

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Rotational Dynamicshey are characterized in this Chapter in the same models. We concentrate on chaos phenomena in the rotational dynamics of planetary satellites (first of all, in the rotation of Hyperion, the seventh satellite of Saturn) and on chaotic obliquities of planets.

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Effects of Chaotic Clearing in Planetary Systemsclear clearing, inner disintegration. Analytical approaches that serve to characterize these effects, in particular, serve for estimating the cleared zone sizes and the clearing timescales, are described and discussed.

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Chaotic Behaviourresonances, phenomena of interaction and overlap of non-linear resonances are described. Analytical instruments, addressed in this chapter, comprise symplectic maps in general, the standard and separatrix maps, generalized separatrix maps, geometry of chaotic layers. These tools are necessary for es

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Diffusion Timescaleservable properties of planetary systems and their subsystems. In view of further applications, we discuss properties of chaotic transport, diffusion rates first of all, in multiplets of interacting and overlapping resonances. As a model for the multiplet, the standard map Hamiltonian is taken. Relat

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