Vortex Processes and Solid Body Dynamics

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.