Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899645 | Reports on Mathematical Physics | 2014 | 24 Pages |
Abstract
A geometric nonholonomic theory is applied to the problem of uniform projectile motion, i.e. motion of a projectile with constant instantaneous speed. The problem is investigated from the kinematic and dynamic point of view. Corresponding kinematic parameters of classical and uniform projectile motion are compared, nonholonomic Hamilton equations are derived and their solvability is discussed. Symmetries and conservation laws of the considered system are studied, the nonholonomic formulation of a conservation law of generalized energy is found as one of the corresponding Noetherian first integrals of this nonholonomic system.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Martin Swaczyna, Petr Volný,