Averaging and optimal control of elliptic Keplerian orbits with low propulsion

Bernard BONNARD; Jean-Baptiste CAILLAU; Romain Dujol

Averaging and optimal control of elliptic Keplerian orbits with low propulsion

Bernard BONNARD, Jean-Baptiste CAILLAU, Romain Dujol

Research output: Contribution in Book/Catalog/Report/Conference proceeding › Chapter

Abstract

This article deals with the optimal transfer of a satellite between Keplerian orbits using low propulsion and is based on preliminary results of (Geffroy, 1997) where the optimal trajectories are approximated using averaging techniques. The objective is to introduce the geometric framework and to make an analysis of the averaged optimal trajectories in the energy minimization problem, showing in particular the connection with Riemannian problems, with integrable geodesics.

Original language	English
Title of host publication	International Journal of Tomography and Statistics
Subtitle of host publication	Special Issue on: Control Applications of Optimisation - control and aeronautics, optimal control, control of partial differential equations
Editors	Delfim TORRES, Emmanuel TRELAT
Publisher	Indian Society for Development and Environment Research
Pages	20-25
Number of pages	6
Volume	5:W07
Publication status	Published - 2007

Keywords

optimal control
Orbital transfer
averaging

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BONNARD, B., CAILLAU, J-B., & Dujol, R. (2007). Averaging and optimal control of elliptic Keplerian orbits with low propulsion. In D. TORRES, & E. TRELAT (Eds.), International Journal of Tomography and Statistics: Special Issue on: Control Applications of Optimisation - control and aeronautics, optimal control, control of partial differential equations (Vol. 5:W07, pp. 20-25). Indian Society for Development and Environment Research. http://www.isder.ceser.res.in/ijts/cont/2007/ijts-w07-cont.html

BONNARD, Bernard ; CAILLAU, Jean-Baptiste ; Dujol, Romain. / Averaging and optimal control of elliptic Keplerian orbits with low propulsion. International Journal of Tomography and Statistics: Special Issue on: Control Applications of Optimisation - control and aeronautics, optimal control, control of partial differential equations. editor / Delfim TORRES ; Emmanuel TRELAT. Vol. 5:W07 Indian Society for Development and Environment Research, 2007. pp. 20-25

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title = "Averaging and optimal control of elliptic Keplerian orbits with low propulsion",

abstract = "This article deals with the optimal transfer of a satellite between Keplerian orbits using low propulsion and is based on preliminary results of (Geffroy, 1997) where the optimal trajectories are approximated using averaging techniques. The objective is to introduce the geometric framework and to make an analysis of the averaged optimal trajectories in the energy minimization problem, showing in particular the connection with Riemannian problems, with integrable geodesics.",

keywords = " optimal control, Orbital transfer, averaging",

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

note = "Publication editors : Delfim TORRES, Emmanuel TRELAT",

year = "2007",

language = "English",

volume = "5:W07",

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editor = "Delfim TORRES and Emmanuel TRELAT",

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BONNARD, B, CAILLAU, J-B & Dujol, R 2007, Averaging and optimal control of elliptic Keplerian orbits with low propulsion. in D TORRES & E TRELAT (eds), International Journal of Tomography and Statistics: Special Issue on: Control Applications of Optimisation - control and aeronautics, optimal control, control of partial differential equations. vol. 5:W07, Indian Society for Development and Environment Research, pp. 20-25. <http://www.isder.ceser.res.in/ijts/cont/2007/ijts-w07-cont.html>

Averaging and optimal control of elliptic Keplerian orbits with low propulsion. / BONNARD, Bernard; CAILLAU, Jean-Baptiste; Dujol, Romain.
International Journal of Tomography and Statistics: Special Issue on: Control Applications of Optimisation - control and aeronautics, optimal control, control of partial differential equations. ed. / Delfim TORRES; Emmanuel TRELAT. Vol. 5:W07 Indian Society for Development and Environment Research, 2007. p. 20-25.

Research output: Contribution in Book/Catalog/Report/Conference proceeding › Chapter

TY - CHAP

T1 - Averaging and optimal control of elliptic Keplerian orbits with low propulsion

AU - BONNARD, Bernard

AU - CAILLAU, Jean-Baptiste

AU - Dujol, Romain

N1 - Publication editors : Delfim TORRES, Emmanuel TRELAT

PY - 2007

Y1 - 2007

N2 - This article deals with the optimal transfer of a satellite between Keplerian orbits using low propulsion and is based on preliminary results of (Geffroy, 1997) where the optimal trajectories are approximated using averaging techniques. The objective is to introduce the geometric framework and to make an analysis of the averaged optimal trajectories in the energy minimization problem, showing in particular the connection with Riemannian problems, with integrable geodesics.

AB - This article deals with the optimal transfer of a satellite between Keplerian orbits using low propulsion and is based on preliminary results of (Geffroy, 1997) where the optimal trajectories are approximated using averaging techniques. The objective is to introduce the geometric framework and to make an analysis of the averaged optimal trajectories in the energy minimization problem, showing in particular the connection with Riemannian problems, with integrable geodesics.

KW - optimal control

KW - Orbital transfer

KW - averaging

M3 - Chapter

VL - 5:W07

SP - 20

EP - 25

BT - International Journal of Tomography and Statistics

A2 - TORRES, Delfim

A2 - TRELAT, Emmanuel

PB - Indian Society for Development and Environment Research

ER -

BONNARD B, CAILLAU J-B, Dujol R. Averaging and optimal control of elliptic Keplerian orbits with low propulsion. In TORRES D, TRELAT E, editors, International Journal of Tomography and Statistics: Special Issue on: Control Applications of Optimisation - control and aeronautics, optimal control, control of partial differential equations. Vol. 5:W07. Indian Society for Development and Environment Research. 2007. p. 20-25

Averaging and optimal control of elliptic Keplerian orbits with low propulsion

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Keywords

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