Hamiltonian dynamics of a particle subject to time-varying gyroscopic and potential forces

【Author】

Scott David Kelly;

【Abstract】

<正>We examine the planar dynamics of a particle under the simultaneous influence of a gyroscopic force and a force given by the gradient of a spatial potential.This system provides a simple model for the dynamics of a body experiencing aerodynamic lift as a result of simultaneous translation and rotation.We show that the system possesses a noncanonical Hamiltonian structure in general, and that a reduced structure is present when the gyroscopic

【Keywords】

time;show;when;this;Hamiltonian dynamics of a particle subject to time-varying gyroscopic and potential forces;

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