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The Mechanics of Hamilton and Jacobi

  • Martin C. Gutzwiller
Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 1)

Abstract

The transition from (what is here called) the mechanics of Lagrange, with time as the main parameter, to the mechanics of Hamilton and Jacobi, with energy as the controlling variable, is formally easy to carry out. Its importance becomes apparent when one tries to solve special problems. The test case is the motion of a body where the force decreases as the inverse square of the distance from the origin. It will be treated at the end of this chapter and will be given an appealing geometrical solution.

Keywords

Phase Space Position Space Semimajor Axis Conjugate Point Legendre Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Martin C. Gutzwiller
    • 1
  1. 1.IBM T.J. Watson Research CenterYorktown HeightsUSA

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