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The Adiabatic Invariant: Its Use in Celestial Mechanics

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Applications of Modern Dynamics to Celestial Mechanics and Astrodynamics

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 82))

Abstract

Many problems in the dynamical evolution of the Solar System can be modelized by some pendulum like Hamiltonian system with one degree of freedom and slowly varying parameters. The adiabatic invariant introduced in the context of quantum mechanics and of physics of nuclear particles is a very effective tool for the study of such problems.

In this paper, we describe the basic ideas of this theory and apply it to the problem of capture into resonance of Titan and Hyperion.

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Author information

Authors and Affiliations

  1. Dept. of Mathematics, Facultés Universitaires de Namur, B-5000, Namur, Namur, Belgium

    Jacques Henrard

Authors
  1. Jacques Henrard
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Editor information

Editors and Affiliations

  1. Dept. of Aerospace Engineering, University of Texas, Austin, Texas, 78712, USA

    Victor Szebehely (L.B. Meaders Professor of Aerospace Engineering, Director NATO Advanced Study Institute and Editor of the Proceedings) (L.B. Meaders Professor of Aerospace Engineering, Director NATO Advanced Study Institute and Editor of the Proceedings)

  2. Cortina d’Ampezzo, Italy

    Victor Szebehely (L.B. Meaders Professor of Aerospace Engineering, Director NATO Advanced Study Institute and Editor of the Proceedings) (L.B. Meaders Professor of Aerospace Engineering, Director NATO Advanced Study Institute and Editor of the Proceedings)

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© 1982 D. Reidel Publishing Company

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Henrard, J. (1982). The Adiabatic Invariant: Its Use in Celestial Mechanics. In: Szebehely, V. (eds) Applications of Modern Dynamics to Celestial Mechanics and Astrodynamics. NATO Advanced Study Institutes Series, vol 82. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7793-8_10

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  • DOI: https://doi.org/10.1007/978-94-009-7793-8_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7795-2

  • Online ISBN: 978-94-009-7793-8

  • eBook Packages: Springer Book Archive

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