## The Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic SystemsThe 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 the |

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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 | 77 |

Regularisation methods for the Nbody problem | 91 |

Escape in Hills problem | 107 |

from kinematics to dynamics | 127 |

past present and future | 215 |

Gravitational Nbody simulation of largescale cosmic structure | 237 |

Periodic orbits of the planar Nbody problem with equal masses and all bodies on the same path | 251 |

Central configurations revisited | 271 |

Surfaces of separation in the Caledonian symmetrical double binary four body problem | 287 |

The Fast Lyapunov Indicator | 313 |

Determination of chaotic attractors in short discrete time series | 325 |

Nonintegrability in gravitational and cosmological models | 347 |

Nonintegrable galactic dynamics | 143 |

Evolution of galaxies due to selfexcitation | 165 |

Dynamical methods for reconstructing the large scale galaxy density and velocity fields | 189 |

Index | 373 |

### Other editions - View all

The Restless Universe Applications of Gravitational N-Body Dynamics to ... Bonnie Steves Limited preview - 2019 |

The Restless Universe Applications of Gravitational N-Body Dynamics to ... Bonnie Steves Limited preview - 2019 |

### Common terms and phrases

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