6533b853fe1ef96bd12ad652

RESEARCH PRODUCT

Averaging and optimal control of elliptic Keplerian orbits with low propulsion

Bernard BonnardJean-baptiste CaillauRomain Dujol

subject

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]0209 industrial biotechnologyElliptic orbitGeneral Computer ScienceGeodesicIntegrable systemGeometry02 engineering and technology01 natural sciencesoptimal control020901 industrial engineering & automationTransfer orbitApplied mathematics0101 mathematicsElectrical and Electronic EngineeringComputingMilieux_MISCELLANEOUSMathematicsaveragingOrbital transferMechanical Engineering010102 general mathematics[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]Optimal controlConnection (mathematics)Control and Systems Engineering[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]Orbital maneuverMinimum energy control

description

This article deals with the optimal transfer of a satellite between Keplerian orbits using low propulsion. It is based on preliminary results of Geffroy [Generalisation des techniques de moyennation en controle optimal, application aux problemes de rendez-vous orbitaux a poussee faible, Ph.D. Thesis, Institut National Polytechnique de Toulouse, France, Octobre 1997] where the optimal trajectories are approximated using averaging techniques. The objective is to introduce the appropriate geometric framework and to complete the analysis of the averaged optimal trajectories for energy minimization, showing in particular the connection with Riemannian problems having integrable geodesics.

yearjournalcountryeditionlanguage
2006-01-01
https://hal.archives-ouvertes.fr/hal-00540280