6533b7d5fe1ef96bd12648e3
RESEARCH PRODUCT
Geometric optimal control of elliptic Keplerian orbits
Emmanuel TrélatBernard BonnardJean-baptiste Caillausubject
[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]Physics0209 industrial biotechnologyApplied Mathematicsmedia_common.quotation_subject010102 general mathematicsMathematical analysis[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]02 engineering and technologyOptimal control01 natural sciencesControllability020901 industrial engineering & automationMaximum principleOrbit (dynamics)Geostationary orbitDiscrete Mathematics and CombinatoricsSatellite[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]Astrophysics::Earth and Planetary Astrophysics0101 mathematicsOrbital maneuverEccentricity (behavior)media_commondescription
This article deals with the transfer of a satellite between Keplerian orbits. We study the controllability properties of the system and make a preliminary analysis of the time optimal control using the maximum principle. Second order sufficient conditions are also given. Finally, the time optimal trajectory to transfer the system from an initial low orbit with large eccentricity to a terminal geostationary orbit is obtained numerically.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-01-01 | Discrete & Continuous Dynamical Systems - B |