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The dynamics of systems with large gyroscopic forces and the realization of constraints. (English. Russian original) Zbl 1432.70037
J. Appl. Math. Mech. 78, No. 3, 213-219 (2014); translation from Prikl. Mat. Mekh. 78, No. 3, 307-315 (2013).
Summary: Lagrangian systems with a large multiplier \(N\) on the gyroscopic terms are considered. Simplified equations of motion of general form with holonomic constraints are obtained in the first approximation with respect to the small parameter \(\varepsilon=1/N\). The structure of the solutions of the precessional equations is examined.

70H03 Lagrange’s equations
70E05 Motion of the gyroscope
70F20 Holonomic systems related to the dynamics of a system of particles
Full Text: DOI
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