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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冥想后

CHANT

Contested Waters: Dividing or Sharing?is can be explained in the Lidov–Kozai effect framework. We consider the potential role of the Lidov–Kozai effect in evoking dynamical chaos in multiplanet systems and planetary systems of binary stars.

BILL

Defying the Orrery Paradigm: Historical Background to the 20th one, nothing had seemed to any scientist or philosopher to be less prone to chaos and accident than the repetitive measured motion of the Solar system bodies. In this Chapter, we briefly describe the main nodes of the non-monotonous rise of the dynamical chaos concept in the history of studies of the Solar system dynamics.

要塞

神圣不可

Planetary Architecture: Stability, Packing and Ranging; the Moriwaki–Nakagawa criterion. The Kepler map, encounter map and its versions are introduced and their theory is used in analytical derivations of the stability criteria. We consider Lyapunov timescales, escape timescales, and linear and quadratic relationships between them.

毁坏

FUME

SOBER

Lyapunov Timescales analytical methods how Lyapunov timescales can be estimated. The discussed concepts include: Chirikov’s constant, adiabatic chaos, non-adiabatic chaos, Lyapunov exponents in resonance doublets, triplets, and, generally, in resonance multiplets.

Ige326

Extents of Chaotic Domainshen, modern methods for estimating the layer width in cases of non-adiabatic chaos and adiabatic chaos are described. Presence of marginal resonances may drastically affect the width in the both cases; therefore, the marginal resonance phenomenon is especially and separately discussed.