A new context is introduced to give a formal geometric environment for the study of impulsive mechanics of systems with finite number of degrees of freedom. The new structures embody the usual ones of analytical mechanics such as tangent bundles for time independent systems and jet-bundles for time dependent ones. They allow a causally consistent definition of active impulse acting on the systems and a clear geometric view of the equations of motion.
New Geometrical frameworks for Classical Impulsive Mechanics / Pasquero, Stefano. - In: REPORTS ON MATHEMATICAL PHYSICS. - ISSN 0034-4877. - 53:(2004), pp. 103-122. [10.1016/S0034-4877(04)90007-9]
New Geometrical frameworks for Classical Impulsive Mechanics
PASQUERO, Stefano
2004-01-01
Abstract
A new context is introduced to give a formal geometric environment for the study of impulsive mechanics of systems with finite number of degrees of freedom. The new structures embody the usual ones of analytical mechanics such as tangent bundles for time independent systems and jet-bundles for time dependent ones. They allow a causally consistent definition of active impulse acting on the systems and a clear geometric view of the equations of motion.File | Dimensione | Formato | |
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