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

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CRC Press, Dec 12, 2010 - 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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Selected pages

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
Index
387
Copyright

Common terms and phrases

Aarseth algorithm approximation asteroid belt asteroids Astron behaviour binary body problem celestial central configuration chaotic choreographies cluster codes coefficients collision collisionless component computed consider constant coordinates corresponding cosmological curves dark matter defined density differential equations disk distance distribution dynamics eccentricity elliptical elliptical galaxies energy equations of motion escape eulerian evolution example expansion Farinella Figure fluid Fourier frequencies function galactic galaxy gravitational grid halo Hamiltonian system initial conditions instability integral iterative libration linear Lyapunov Lyapunov exponents mass matrix method MNRAS N-body simulations observed obtained orbits parameters particles peculiar velocity perturbation phase space physical planetesimal planets Poincare points Poisson equation polynomial potential properties radial real motion redshift surveys region resonance scale Section secular resonances semimajor axis solar system solution stable stars stellar structure surface techniques theorem theory torus transformation Trojan Trojan asteroids variables variational equations vector Vokrouhlicky Yarkovsky effect Ziglin

Popular passages

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.‎
Appears in 22 books from 1940-2008

References from web pages

Steves B., Maciejewski A. (eds.) The restless universe (ISBN ...
The restless universe (ISBN 0750308222)(SUSS, 2001)(T)(390s)_pgrc_.djvu | Library:p_physics/pgr_gravitation/pgrc_cosmology/Steves B., Maciejewski A. (eds. ...
lib.org.by/ info/ P_Physics/ PGr_Gravitation/ PGrc_Cosmology/ Steves%20B.,%20Maciejewski%20A.%20(eds.)%20The%20restless%2...

physicsnetbase: Physics References Online
The aim of The Restless Universe is to stimulate the cross-fertilisation of ideas, methods and applications between the different communities who work in ...
www.physicsnetbase.cn/ ejournals/ books/ book_summary/ summary.asp?id=4414

PREFACE Astronomers from all over the world met at the Atholl Arms ...
Study Institute (ASI) entitled ‘The Restless Universe: Applications of ... textbook entitled ‘The Restless Universe’ (eds ba Steves and aj Maciejewski, ...
www.springerlink.com/ index/ HPE87DF3RRFMMKNC.pdf

Institute of Astronomy, University of Zielona Góra, Poland
Steves, Bonnie A.; Maciejewski, Andrzej J., Preface (The restless universe), In: The restless universe. Proceedings of the Fifty-fourth Scottish ...
astro.ia.uz.zgora.pl/ old/

ASP: Books of Note Archives
The Restless Universe: Applications of Gravitational N-Body Dynamics to ... The aim of The Restless Universe is to stimulate the cross-fertilization of ...
www.astrosociety.org/ books/ archive5.html

Maciejewski, Przybylska: Differential Galois approach to the non ...
Introduction to Ziglin theory and its differential Galois extension, in aj Maciejewski and B. Steves, editors, The Restless Universe. ...
afst.cedram.org/ fitem?id=AFST_2005_6_14_1_123_0

Bibliographic information

QR code for The Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems
TitleThe Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems
Scottish Graduate Series
AuthorsBonnie Steves, A.J Maciejewski
Editionillustrated
PublisherCRC Press, 2010
ISBN1420033301, 9781420033304
Length648 pages
Subjects ›  › 

Science / Physics / Astrophysics
  
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