## Arithmetic applied mathematics |

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### Contents

GRAVITATION | 7 |

THE NBODY PROBLEM | 20 |

CONSERVATIVE MODELS | 32 |

Copyright | |

8 other sections not shown

### Other editions - View all

Arithmetic Applied Mathematics: International Series in Nonlinear ... Donald Greenspan Limited preview - 2016 |

### Common terms and phrases

4-vector acceleration analogy angular momentum arithmetic assume axiom of relativity body CALCULATE CALL COPVAR centroid Chapter computations concepts CONTINUE CURRENT TIMESTEP defined determined developed distance dynamical equation example follows formulas given gravity Greenspan harmonic oscillator heat imply initial data initial positions INITIAL VELOCITY ITERATION kinetic energy lab frame let particle linear momentum liquid Lorentz invariant Lorentz transformation magnitude mathematical Minkowski space motion N-body N-body problem Newton's method Newtonian mechanics nonlinear NUMBER OF PARTICLES o o o o o o o o o o o o o o o o o parameter choices physical positions and velocities relativistic mechanics repulsion respectively rest mass rij,k rocket frame rotating Section short range forces shown in Fig solid particles special relativity speed Stefan problem SUBROUTINE Table temperature three particles three-body problem triangular building blocks vector Vk+1 Vk+l,x xk+l yields yk+l