The Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems

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CRC Press, Jul 17, 2019 - Science - 648 pages
The Restless Universe: Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems stimulates the cross-fertilization of ideas, methods, and applications among the different communities who work in the gravitational N-body problem arena, across diverse fields of astrophysics. The chapters and topics cover three broad themes: the dynamics of the solar system, the dynamics of galaxies and star clusters, and the large scale structure of the universe. The book is essential reading for scientists and graduate students studying N-body dynamics, from the fundamental techniques to the cutting edge of modern research in planetary, stellar, and galactic systems.

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Nbody simulations of the Solar System planet formation and galaxy clusters
On the Trojan problem
Ideal resonance and Melnikovs theorem
The Yarkovsky effect in the dynamics of the Solar System
Are science and celestial mechanics deterministic? Henri Poincare philosopher and scientist
Regularisation methods for the Nbody problem
Escape in Hills problem
from kinematics to dynamics
past present and future
Gravitational Nbody simulation of largescale cosmic structure
Periodic orbits of the planar Nbody problem with equal masses and all bodies on the same path
Central configurations revisited
Surfaces of separation in the Caledonian symmetrical double binary four body problem
The Fast Lyapunov Indicator
Determination of chaotic attractors in short discrete time series
Nonintegrability in gravitational and cosmological models

Nonintegrable galactic dynamics
Evolution of galaxies due to selfexcitation
Dynamical methods for reconstructing the large scale galaxy density and velocity fields

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