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Singular Perturbations in Flight Mechanics

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Book cover Applied Mathematics in Aerospace Science and Engineering

Part of the book series: Mathematical Concepts and Methods in Science and Engineering ((MCSENG,volume 44))

Abstract

Singular perturbation theory has played an important role in aircraft performance analysis and in the development of feedback guidance laws for aerospace vehicles. It is expected that this area of mathematics will serve as an important modeling and analysis tool in the development of guidance and flight control algorithms for future air and space transportation systems as well. This paper summarizes the theoretical concepts which are important for applications of this theory to problems in flight mechanics. In particular, emphasis will be given to problem formulation and solution approaches that are useful in applying singular perturbation theory for deriving nonlinear guidance algorithms for aerospace vehicles. The intent is to give an account of some of the progress that has been made and to provide a guide to some of the applications that have been treated successfully.

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Authors and Affiliations

  1. School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, Georgia, 30332-0150, USA

    A. J. Calise (Professor)

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  1. A. J. Calise
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Editor information

Editors and Affiliations

  1. Rice University, Houston, Texas, USA

    Angelo Miele

  2. University of Pisa, Pisa, Italy

    Attilio Salvetti

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© 1994 Springer Science+Business Media New York

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Calise, A.J. (1994). Singular Perturbations in Flight Mechanics. In: Miele, A., Salvetti, A. (eds) Applied Mathematics in Aerospace Science and Engineering. Mathematical Concepts and Methods in Science and Engineering, vol 44. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9259-1_7

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  • DOI: https://doi.org/10.1007/978-1-4757-9259-1_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9261-4

  • Online ISBN: 978-1-4757-9259-1

  • eBook Packages: Springer Book Archive

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