Investigation of the equations of motion

  • V. I. Arnold
Part of the Graduate Texts in Mathematics book series (GTM, volume 60)


In most cases (for example, in the three-body problem) we can neither solve the system of differential equations nor completely describe the behavior of the solutions. In this chapter we consider a few simple but important problems for which Newton’s equations can be solved.


Potential Energy Angular Momentum Radius Vector Central Field Phase Curve 
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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • V. I. Arnold
    • 1
  1. 1.Department of Mathematics Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia

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