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Remarks on Quadratic Hamiltonians in Spaceflight Mechanics.

Authors :
Thoma, M.
Morari, M.
Allgüwer, F.
Fleming, P.
Kokotovic, P.
Kurzhanski, A. B.
Kwakernaak, H.
Rantzer, A.
Tsitsiklis, J. N.
Bullo, Francesco
Fujimoto, Kenji
Bonnard, Bernard
Caillau, Jean-Baptiste
Dujol, Romain
Source :
Lagrangian & Hamiltonian Methods for Nonlinear Control 2006; 2007, p365-373, 9p
Publication Year :
2007

Abstract

A particular family of Hamiltonian functions is considered. Such functions are quadratic in the moment variables and arise in spaceflight mechanics when the averaged system of energy minimizing trajectories of the Kepler equation is computed. An important issue of perturbation theory and averaging is to provide integrable approximations of nonlinear systems. It turns out that such integrability properties hold here. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISBNs :
9783540738893
Database :
Complementary Index
Journal :
Lagrangian & Hamiltonian Methods for Nonlinear Control 2006
Publication Type :
Book
Accession number :
33095908
Full Text :
https://doi.org/10.1007/978-3-540-73890-9_29