Abstract: The problem of rigid bodies’ systems dynamics and its practical engineering applications such as attitude motion and control of multi-rotor spacecrafts (gyrostats-satellites, dual-spin-spacecrafts, spacecrafts with systems of momentum wheels and control moment gyros) and robotics are very important for modern science and, especially for space flight mechanics. Despite classical analytical research results this problem is still far from complete due to the existence of complicated non-linear regular and chaotic phenomena.
In the framework of the indicated problem we describe the following points: deriving exact and approximated analytical solutions, the analysis of the attitude motion under an influence of external and internal disturbances, research into chaotic behaviors of the SC, study of the attitude motion of the SC with variable parameters (time-dependent mass-inertia parameters), investigation into attitude reorientations of the SC and multi-rotor roll-walking robots.
Firstly, we consider the attitude motion of the dual-spin spacecraft with time-dependent moments of inertia (with an active solid-propellant rocket engine) on the base of special method of the phase trajectories' curvature analysis. Secondly, we conduct the dynamics simulation of the gyrostats in a resistant environment at presence of chaotic attractors (Lorenz, Rossler, Newton–Leipnik, and Sprott systems). In the third place we examine the heteroclinic dynamics of the dual-spin spacecraft on the base of analytical solutions for heteroclinic orbits in the space of the SC angular moment components. With the help on Melnikov's method we show the system motion chaotization and possibility of the SC chaotic tilting motion. Finally, we present a multi-rotor drive system, which can be used for the attitude control of the spacecraft and a roll-walking motion of the multi-rotor robot. This multi-rotor system contains a large number of rotor-equipped rays. It allows using spinups and captures of conjugate rotors to perform compound motion of the multi-rotor spacecraft and the walking robot attitude reorientation.

Brief Biography of the Speaker:
Anton V. Doroshin received his Ph.D. degree in theoretical mechanics from the Samara State Aerospace University in 2002. He is the Head of the Educational Programs Department and an Associate Professor of the Department of Flight Dynamics and Control Systems at Samara State Aerospace University (National Research University). His research interests include space flight dynamics and dynamical systems theory. He is especially concerned with the analysis of non-linear regular and chaotic dynamical systems, attitude dynamics and control of dual-spin spacecrafts, gyrostats and multi-rotor rigid bodies systems. He is the author of numerous publications in these areas. Also Dr. Doroshin is the head of the several research projects and grants of the Russian Foundation for Basic Research, the Russian Federation Presidential Program for young scientists and leading scientific schools of Russian Federation, International Soros Science Education Program. In 2010 he was awarded the Medal of Russian Academy of Science (Direction: Machinery, Mechanical Science and Control Systems). Also he is a member of International Association of Engineers.