Remarks on quadratic Hamiltonians in spaceflight mechanics

Bernard BONNARD; Jean-Baptiste CAILLAU; Romain Dujol

Remarks on quadratic Hamiltonians in spaceflight mechanics

Bernard BONNARD, Jean-Baptiste CAILLAU, Romain Dujol

Résultats de recherche: Contribution dans un livre/un catalogue/un rapport/dans les actes d'une conférence › Chapitre

Résumé

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.

langue originale	Anglais
titre	Lagrangian and Hamiltonian Methods For Nonlinear Control 2006
Sous-titre	Proceedings from the 3rd IFAC Workshop, Nagoya, Japan, July 2006
rédacteurs en chef	Francesco BULLO, Kenji FUJIMOTO
Editeur	Springer Verlag
Pages	371-379
Nombre de pages	9
Volume	366
Etat de la publication	Non publié - 2007

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BONNARD, B., CAILLAU, J-B., & Dujol, R. (2007). Remarks on quadratic Hamiltonians in spaceflight mechanics. Non publié. Dans F. BULLO, & K. FUJIMOTO (eds.), Lagrangian and Hamiltonian Methods For Nonlinear Control 2006: Proceedings from the 3rd IFAC Workshop, Nagoya, Japan, July 2006 (Vol 366, p. 371-379). Springer Verlag. http://dujol.perso.enseeiht.fr/research/conferences/LHMNLC2006-Article.pdf

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title = "Remarks on quadratic Hamiltonians in spaceflight mechanics",

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.",

keywords = "Controlled Kepler equation, averaging, quadratic Hamiltonians, Riemannian problems",

author = "Bernard BONNARD and Jean-Baptiste CAILLAU and Romain Dujol",

note = "Publication editors : Francesco BULLO, Kenji FUJIMOTO",

year = "2007",

language = "English",

volume = "366",

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BONNARD, B, CAILLAU, J-B & Dujol, R 2007, Remarks on quadratic Hamiltonians in spaceflight mechanics. Dans F BULLO & K FUJIMOTO (eds), Lagrangian and Hamiltonian Methods For Nonlinear Control 2006: Proceedings from the 3rd IFAC Workshop, Nagoya, Japan, July 2006. VOL. 366, Springer Verlag, p. 371-379. <http://dujol.perso.enseeiht.fr/research/conferences/LHMNLC2006-Article.pdf>

Remarks on quadratic Hamiltonians in spaceflight mechanics. / BONNARD, Bernard; CAILLAU, Jean-Baptiste; Dujol, Romain.
Lagrangian and Hamiltonian Methods For Nonlinear Control 2006: Proceedings from the 3rd IFAC Workshop, Nagoya, Japan, July 2006. Ed. / Francesco BULLO; Kenji FUJIMOTO. Vol 366 Springer Verlag, 2007. p. 371-379.

Résultats de recherche: Contribution dans un livre/un catalogue/un rapport/dans les actes d'une conférence › Chapitre

TY - CHAP

T1 - Remarks on quadratic Hamiltonians in spaceflight mechanics

AU - BONNARD, Bernard

AU - CAILLAU, Jean-Baptiste

AU - Dujol, Romain

N1 - Publication editors : Francesco BULLO, Kenji FUJIMOTO

PY - 2007

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AB - 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.

KW - Controlled Kepler equation

KW - averaging

KW - quadratic Hamiltonians

KW - Riemannian problems

M3 - Chapter

VL - 366

SP - 371

EP - 379

BT - Lagrangian and Hamiltonian Methods For Nonlinear Control 2006

A2 - BULLO, Francesco

A2 - FUJIMOTO, Kenji

PB - Springer Verlag

ER -

Remarks on quadratic Hamiltonians in spaceflight mechanics

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