A.I. Lebedev – författare

This volume presents a treatment of the influence of different types of vortex fields on the dynamics of solid bodies. This is encountered in many ways: flight dynamics, hydrofoil vehicle dynamics, rockets and spacecraft dynamics, and satellite dynamics. The contents are divided into eight chapters. Chapters 1 and 2 are devoted to a synthesis of phenomenological mathematical models of objects, for which the consideration of vortex fields plays a dominant role in the formulation of those models. Chapter 3 deals with the solution of sets of integrodifferential equations which arise in the analysis of the dynamics of complex controlled systems. Chapter 4 considers the experimental verification of models and the limits of their applicability. Chapter 5 analyzes the influence of eddy currents on the stability of electromagnetic levitation systems. Chapter 6 considers the influence on spacecraft motion of the vortex motions of a low-viscous liquid in the vehicle fuel tanks. Chapter 7 presents examples of a control law for the air-gap stabilization of a magnetic levitation system.Finally, Chapter 8 deals with the general mathematical model based on magnetohydrodynamics of a solid-low-viscous electrically conductive ferromagnetic liquid. This text is designed for mechanical and aerospace engineers whose work involves guidance and control systems.

... a wise man knows all things in a manner in which this is possible, not, however, knowing them individually. Aristotle. Metaphysics * The problem of consideration of vortex fields' influence on solid body dynamics has a long history. One constantly comes upon it in flight dynamics of airplanes, helicopters, and other flying vehicles (FV) moving in the atmosphere, in dynamics of ships with hydrofoils, and in dynamics of rocket carriers (RC) and spacecrafts (SC) with liquid-propellant rocket engines (LPRE), that are equipped with special damping devices and other structural elements inside fluid tanks. Similar problems occur when solving problems related to attitude control and stabilization of artificial Earth satellites (AES) and spacecrafts with magnetic (electro­ magnetic) systems, in conducting elements of which eddy currents are induced while control of those vehicles' angular position. It is also true with special test facilities for dynamic testing of space vehicles and their systems, with modern high-speed magnetic suspension transport systems (those based on the phenomenon of 'magnetic levitation'), with generators having rotors carried in 'magnetic bearings', and so on.