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Multiple scales theory and aerospace applications

Author: Rudrapatna V Ramnath
Publisher: Reston, Va. : American Institute of Aeronautics and Astronautics, Inc., ©2010.
Series: AIAA education series.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

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  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Ramnath, Rudrapatna V.
Multiple scales theory and aerospace applications.
Reston, Va. : American Institute of Aeronautics and Astronautics, Inc., ©2010
(DLC) 2010019966
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Rudrapatna V Ramnath
ISBN: 9781600867637 1600867634
OCLC Number: 774285678
Description: 1 online resource (xxiv, 587 pages) : illustrations.
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.
Series Title: AIAA education series.
Responsibility: Rudrapatna V. Ramnath.

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