## 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

algorithm application approach approximation assume asteroids become bodies chaotic close cluster codes complex component computed configuration consider constant coordinates corresponding cosmological curves defined density derived describe detailed determine developed differential direct discussion distance distribution dynamics effect elements energy equations escape estimate et al evolution example existence expansion field Figure fluctuations fluid force formation frequencies function galaxy given gives gravitational halo Hamiltonian important initial integral linear mass matter mean method motion N-body simulations nature Note numerical objects observed obtained orbits parameters particles particular periodic perturbation physical planets points position possible potential present problem properties radial region regular relation resonance scales shows simple simulations solution space stable stars structure surface techniques theorem theory transformation Trojan Universe variational velocity volume Yarkovsky