<documents_info>Lagrangian Mechanics of a Simple Pendulum,Hamiltonian Analysis of a Charged Particle in an Electromagnetic Field,Lagrangian Description of a Double Pendulum,Hamiltonian Formulation of the Kepler Problem,Applications of Lagrangian Mechanics to Vibrating Systems,Hamiltonian Approach to the Dynamics of Rigid Bodies</documents_info>
<query>How can Hamiltonian mechanics be applied to analyze the motion of a charged particle in an electromagnetic field?</query>
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<documents_info>Lagrangian Mechanics of a Simple Pendulum,Hamiltonian Analysis of a Charged Particle in an Electromagnetic Field,Lagrangian Description of a Double Pendulum,Hamiltonian Formulation of the Kepler Problem,Applications of Lagrangian Mechanics to Vibrating Systems,Hamiltonian Approach to the Dynamics of Rigid Bodies</documents_info>
<query>How can Hamiltonian mechanics be applied to analyze the motion of a charged particle in an electromagnetic field?</query>
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<query>How can Hamiltonian mechanics be applied to analyze the motion of a charged particle in an electromagnetic field?</query>
<documents_info>Lagrangian Mechanics of a Simple Pendulum,Hamiltonian Analysis of a Charged Particle in an Electromagnetic Field,Lagrangian Description of a Double Pendulum,Hamiltonian Formulation of the Kepler Problem,Applications of Lagrangian Mechanics to Vibrating Systems,Hamiltonian Approach to the Dynamics of Rigid Bodies</documents_info>