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

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CRC Press, Sep 1, 2001 - Science - 648 pages
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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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Contents

Nbody simulations of the Solar System planet formation and galaxy clusters
1
On the Trojan problem
21
Ideal resonance and Melnikovs theorem
43
The Yarkovsky effect in the dynamics of the Solar System
53
Are science and celestial mechanics deterministic? Henri Poincare philosopher and scientist
79
Regularisation methods for the Nbody problem
93
Escape in Hills problem
109
from kinematics to dynamics
129
past present and future
217
Gravitational Nbody simulation of largescale cosmic structure
239
Periodic orbits of the planar Nbody problem with equal masses and all bodies on the same path
265
Central configurations revisited
285
Surfaces of separation in the Caledonian symmetrical double binary four body problem
301
The Fast Lyapunov Indicator
327
Determination of chaotic attractors in short discrete time series
339
Nonintegrability in gravitational and cosmological models
361

Nonintegrable galactic dynamics
145
Evolution of galaxies due to selfexcitation
167
Dynamical methods for reconstructing the large scale galaxy density and velocity fields
191

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Page v - Interactions at High Energy 8 1967 Methods in Solid State and Superfluid Theory 9 1968 Physics of Hot Plasmas 10 1969 Quantum Optics 11 1970 Hadronic Interactions of Photons and Electrons 12 1971 Atoms and Molecules in Astrophysics 13 1972 Properties of Amorphous Semiconductors 14 1973 Phenomenology of Particles at High Energy 15 1974 The Helium Liquids 16 1975 Non-linear Optics 17 1976 Fundamentals of Quark Models 18 1977 Nuclear Structure Physics 19 1978 Metal Non-metal Transitions in Disordered...
Page v - Proceedings (continued) 35 1988 Laser-Plasma Interactions: 4 36 1989 Physics of the Early Universe 37 1990 Pattern Recognition and Image Processing 38 1991 Physics of Nanostructures 39 1991 High Temperature Superconductivity 40 1992 Quantitative Microbeam Analysis 41 1992 Spatial Complexity in Optical Systems 42 1993 High Energy Phenomenology 43 1994 Determination of Geophysical Parameters from Space 44...
Page 337 - C, and Celletti A, 1992. The measure of chaos by the numerical analysis of the fundamental frequencies. Application to the standard mapping, Physica D, 56 253.
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