Symplectic Transformations and Coordinates

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

Abstract

The form of Hamilton’s equations is very special, and the special form is not preserved by an arbitrary change of variables; so, the change of variables that preserve that special form are very important in the theory. The classical subject of celestial mechanics is replete with special coordinate systems which bear the names of some of the greatest mathematicians. We shall consider some of them in this chapter.

Keywords

Hamiltonian System Circular Orbit Kepler Problem Remainder Function Symplectic 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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations