On Families of Canonical Transformations from a General Form of the Hamilton-Jacobi Equation
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چکیده
When all but one coordinates are cyclic in a (conservative) Hamiltonian formulated in the extended phase space, the Hamilton-Jacobi equation is used to compute canonical transformations allowing for Hamiltonian reduction. The procedure includes regularization and provides whole families of canonical transformations, among which one recognizes the familiar ones used in orbital and attitude dynamics. In addition, new canonical transformations are demonstrated. AMS classification scheme numbers: 34C20, 37N05, 47A55, 70F15, 70E20, 70H20
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تاریخ انتشار 2009