Vortex Processes and Solid Body Dynamics: The Dynamic Problems of Spacecrafts and Magnetic Levitation Systems (Fluid Mechanics and Its Applications)
de B. Rabinovich, A.I. Lebedev, A.I. Mytarev
This volume presents an original 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 analyses 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. For mechanical and aerospace engineers whose work involves guidance and control systems.