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Construction Of A Quasiconserved Quantity In The Henon-Heiles Problem Using A Single Set Of Variables, Paul Finkler, C. Edward Jones, Glenn A. Sowell

Paul Finkler Papers

The problem of finding the coefficients of a simple series expansion for a quasiconserved quantity K for the Henon-Heiles Hamiltonian H using a single set of variables is solved. In the past, this type of approach has been problematic because the solution to the equations determining the coefficients in the expansion is not unique. As a result, the existence of a consistent expression for K to all orders had not previously been established. We show how to deal with this arbitrariness in the expansion coefficients for K in a consistent way. Due to this arbitrariness, we find a class of …