Equations of motion for Hamiltonian systems with constraints
نویسندگان
چکیده
منابع مشابه
Equations of Motion of Nonholonomic Hamiltonian Systems
We obtain the equations of motion for a Lagrangian dynamical system under nonholonomic constraints making use of the D’Alembert principle. We show that the Lagrange multipliers can be expressed in terms of the Poisson bracket of the Hamiltonian and the constraint. This appealing result greatly simplifies the derivation of the equations of motion. The existence of at least two conserved quantiti...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1987
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/20/11/030