This book focuses on the powerful technique of multiple scales theorya 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.

Foreword; Preface; Part I - General Theory; Introduction; Asymptotics and Approximations; Asymptotology and Dynamics Analysis; Perturbation Theory and Nonuniformities; Multiple Time Scales; Foundations and Generalization; Part II - Systems Applications; Linear Time-Invariant Systems; Linear Time-Varying Systems; Slowly Varying Linear Systems; Examples; Stability and Parameter Sensitivity; Control of Slowly Varying Systems; Turning Points; Error Analysis; Part III - Aerospace Applications: Vehicle Mathematical Model; Rigid Body Equations of Motion; Reference Frames and Coordinate Transformations; Part IV - Atmospheric Flight; Conventional Aircraft Dynamics; Re-Entry Dynamics; Hypervelocity Flight Dynamics; Stability Analysis of Hypervelocity Aircraft; Flying Qualities Through Variable Conditions; Parameter Sensitivity of High Speed Aircraft; Transition Dynamics of VTOL Aircraft; VTOL Aircraft Control Design; Boost Control of Launch Vehicles; Aircraft Wing Rock in High Angle-of-Attack Flight; A General Theory of Aircraft Wing Rock; Part V - Space Flight; Equatorial Orbit Perturbation; Satellite Attitude Prediction; Attitude Control of Spinning Satellites; Attitude Control of Dual Spin Satellites; Geomagnetic Attitude Control Design of Satellites; Deformable Reflector Stability; Active Control of Membrane Mirrors; Nonlinear Deformable Reflector; Heliogyro Spacecraft; Future Directions; Part VI - Appendixes; Extension of the nth order Derivative Operator; Earth's Gravity Field; Gravity Gradient Torque; Linear Periodic Systems and Floquet's Solution; Elliptic Integrals and Elliptic Functions; Index.