Multiple scales theory and aerospace applications [electronic resource] / Rudrapatna V. Ramnath.

By: Contributor(s): Series: AIAA education seriesPublication details: Reston, Va. : American Institute of Aeronautics and Astronautics, Inc., c2010.Description: xxiv, 587 p. : illSubject(s): Genre/Form: DDC classification:
  • 629.10285 22
LOC classification:
  • TL563 .R36 2010eb
Online resources:
Contents:
pt. I. General theory. Introduction ; Asymptotics and approximations ; Asymptotology and dynamic analysis ; Perturbation theory and nonuniformities ; Multiple time scales ; Foundation and generalization -- pt. 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 -- pt. III. Vehicle mathematical model. Rigid body equations of motion ; Reference frames and coordinate transformations -- pt. IV. Atmospheric flight. Conventional aircraft dynamics ; Reentry 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 -- pt. 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 -- Appendix A : Extension of the nth-derivative operator -- Appendix B : Earth's gravity field -- Appendix C : Gravity gradient torque -- Appendix D : Linear periodic systems and Floquet's solution -- Appendix E : Elliptic integrals and elliptic functions.
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Includes bibliographical references and index.

pt. I. General theory. Introduction ; Asymptotics and approximations ; Asymptotology and dynamic analysis ; Perturbation theory and nonuniformities ; Multiple time scales ; Foundation and generalization -- pt. 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 -- pt. III. Vehicle mathematical model. Rigid body equations of motion ; Reference frames and coordinate transformations -- pt. IV. Atmospheric flight. Conventional aircraft dynamics ; Reentry 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 -- pt. 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 -- Appendix A : Extension of the nth-derivative operator -- Appendix B : Earth's gravity field -- Appendix C : Gravity gradient torque -- Appendix D : Linear periodic systems and Floquet's solution -- Appendix E : Elliptic integrals and elliptic functions.

Electronic reproduction. Palo Alto, Calif. : ebrary, 2013. Available via World Wide Web. Access may be limited to ebrary affiliated libraries.

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