AIAA (American Institute of Aeronautics & Astronautics) Multiple Scales Theory and Aerospace Applications (AIAA Education Series)

Multiple Scales Theory and Aerospace Applications focuses on the powerful technique of multiple scales theory—a recently developed approach that rests on asymptotic analysis and perturbation theory. The book skillfully bridges the gap between esoteric applied mathematics and practical real-world applications.The book includes self-contained examples that reflect the broad application of multiple scales theory to diverse advanced engineering systems, such as time-varying and nonlinear dynamics as well as stability and control problems in aircraft and spacecraft motion and, potentially, large-scale systems. Engineering analysts and designers will benefit from the generality of the concept and the wide applicability of the method. The book is organized into six parts: Part I - Basic concepts, foundations, and techniques of asymptotic analysis, perturbation theory, and multiple scales Part II - Linear systems and some nonlinear systems by multiple scales theory Part III - Basic ideas governing dynamics of flight vehicles in atmosphere and in space Part IV - Aircraft applications operating within earth’s atmosphere, including Space Shuttle reentry into Earth’s atmosphere, VTOL aircraft dynamics, and aircraft wing rock at high angles of attack Part V - Spaceflight applications, including attitude prediction and control of single- and dual-spin satellites, stability and control of membrane mirrors, and heliogyro spacecraft dynamics Part VI - Reference material.