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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.

##### MSC:
 70H03 Lagrange’s equations 70E05 Motion of the gyroscope 70F20 Holonomic systems related to the dynamics of a system of particles
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##### References:
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