## Gravitational N-Body Problem: Proceedings of the Iau Colloquium No. 10 Held in Cambridge, England August 12–15, 1970This volume contains the proceedings of the third IAU conference on the Gravita tional N-Body Problem. The first IAU conference [IJ, six years ago, was motivated by the renaissance in Celestial Mechanics following the launching of artificial earth satellites, and was an attempt to bring to bear on the problems of Stellar Dynamics the sophisticated analytical techniques of Celestial Mechanics. That meeting was an outgrowth of the 'Summer Institutes in Celestial Mechanics' initiated by Dirk Brouwer. By the second IAU conference [2J, our interest had been captured by the attempts to simulate stellar systems on the computer. Computer simulation is now an essential part of stellar dynamics; journals of computational physics have started in the United Kingdom and in the United States and symposia on computer simulation of many-body problems have become a perennial event [3,4, 5]. Although our early hopes that the computer would 'solve' our problem have been tempered by experience, some techniques of computer simulation have now matured through five years of testing and use. A working description of the six most popular methods is appended to this volume. During the past three years, stellar dynamicists have followed closely the develop ments in the related field of Plasma Physics. The contexts of Plasma and Stellar Physics are deceptively similar; at first, results from Plasma Physics were bodily transferred to stellar systems by 'changing the sign of the coupling'. We are more sophisticated and more skeptical now. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

II | 5 |

III | 13 |

IV | 18 |

V | 22 |

VI | 29 |

VII | 44 |

VIII | 60 |

IX | 62 |

XXIII | 184 |

XXIV | 194 |

XXV | 213 |

XXVI | 231 |

XXVII | 250 |

XXVIII | 254 |

XXIX | 262 |

XXX | 276 |

X | 71 |

XI | 73 |

XII | 88 |

XIII | 99 |

XIV | 114 |

XV | 124 |

XVI | 131 |

XVII | 136 |

XVIII | 148 |

XIX | 153 |

XX | 169 |

XXI | 179 |

XXII | 180 |

XXXI | 290 |

XXXII | 311 |

XXXIII | 312 |

XXXIV | 315 |

XXXV | 337 |

XXXVI | 347 |

XXXVII | 373 |

XXXVIII | 388 |

XXXIX | 406 |

XL | 423 |

XLI | 428 |

XLII | 431 |

### Other editions - View all

Gravitational N-Body Problem: Proceedings of the Iau Colloquium No. 10 Held ... M. Lecar Limited preview - 2012 |

Gravitational N-Body Problem: Proceedings of the Iau Colloquium No. 10 Held ... M. Lecar No preview available - 2011 |

### Common terms and phrases

Aarseth approximation Astron Astrophys binding energy bodies calculation center of mass close encounters collision collisionless components configuration constant corresponding curve Debye length defined density differential equations disk distribution function Dordrecht-Holland effect equations of motion equilibrium error evolution field stars force galactic clusters galactic field galaxy given Gravitational N-Body Problem Henon Hockney Hohl initial conditions instability interaction kinetic energy km/s Lecar fed method modes N-Body Problem number of particles number of stars numerical experiments numerical integration obtained orbits oscillator pair parameter perturbation phase space Plasma Physics Poisson equation potential predicted radial radius random region regularization Reidel Publishing Company relaxation Rights Reserved Copyright rotations self-consistent simulation solution spherical spiral stability stellar dynamics stellar systems symmetry test star theoretical theory time-step tion Toomre total energy total mass transformation two-body variable vector velocity dispersion velocity distribution virial theorem Vlasov equation wave zero