Multiple Scales Theory and Aerospace Applications

ISBN-13: 9781600867620 / Angielski / Twarda / 2010 / 587 str.

Rudrapatna V. Ramnath

Opis

Focuses on an area of approximations in applied mathematics known as asymptotic analysis and perturbation theory and the relatively new and powerful technique - multiple scales theory - that rests on these theories. This book intends to bridge the gap between esoteric mathematical theory and practical, real world applications.

Spis treści

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.