Hamiltonian Differential Equations and the N-Body Problem

  • Kenneth R. Meyer
  • Glen R. Hall
Part of the Applied Mathematical Sciences book series (AMS, volume 90)


This chapter introduces the concept of a Hamiltonian system of ordinary differential equations, sets forth basic notation, reviews some basic facts about the solutions of differential equations, and gives several examples in detail. The primary example is the gravitational N-body problem, which is given a sizable introduction.


Hamiltonian System Phase Portrait Poisson Bracket Solution Curve Kepler Problem 


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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Kenneth R. Meyer
    • 1
  • Glen R. Hall
    • 2
  1. 1.Department of Mathematical SciencesUniversity of CincinnatiCincinnatiUSA
  2. 2.Mathematics DepartmentBoston UniversityBostonUSA

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