On shock-free motions in multibody systems

Properties of shock-free motions in systems with broken coupling are studied. For these motions intense and released coupling states vary, intense coupling is not followed by shocks. Conditions for shock-free motions are obtained; their relation with differential topological mapping is revealed. Attracting properties of shock-free motions are ascertained: under some conditions these properties are simular to half-stable limiting cycles. The results obtained are examplified: a body on an elastic leg and bodies connective in satellite orbit. Practical interest to shock-free motions is caused by a possibility to avoid unwanted effects, inherent to shocks on transitions berween the intense coupling areas.