6. The Restricted Three-Body Problem

  1. Prof. Dr. Rudolf Dvorak1 and
  2. Dr. Christoph Lhotka2

Published Online: 18 MAR 2013

DOI: 10.1002/9783527651856.ch6

Celestial Dynamics: Chaoticity and Dynamics of Celestial Systems

Celestial Dynamics: Chaoticity and Dynamics of Celestial Systems

How to Cite

Dvorak, R. and Lhotka, C. (2013) The Restricted Three-Body Problem, in Celestial Dynamics: Chaoticity and Dynamics of Celestial Systems, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527651856.ch6

Author Information

  1. 1

    University of Vienna, Department of Astronomy, Tuerkenschanzstrasse 17, 1180 Vienna, Austria

  2. 2

    University of Namur, Department of Mathematics, Rempart de la Vierge 8, 5000 Namur, Belgium

Publication History

  1. Published Online: 18 MAR 2013
  2. Published Print: 3 APR 2013

ISBN Information

Print ISBN: 9783527409778

Online ISBN: 9783527651856

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Keywords:

  • zero velocity curves;
  • Lagrangian equilibrium points;
  • space manifold dynamics;
  • Jacobi constant;
  • Tisserand criterion

Summary

This chapter contains sections titled:

  • Set-Up and Formulation

  • Equilibria of the System

  • Motion Close to L4 and L5

  • Motion Close to L1, L2, L3

  • Potential and the Zero Velocity Curves

  • Spatial Restricted Three-Body Problem

  • Tisserand Criterion

  • Elliptic Restricted Three-Body Problem

  • Dissipative Restricted Three-Body Problem