Symplectic Transformations and Coordinates
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.
KeywordsHamiltonian System Circular Orbit Kepler Problem Remainder Function Symplectic Transformation
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