6533b821fe1ef96bd127c449
RESEARCH PRODUCT
Energy minimization of single input orbit transfer by averaging and continuation
Jean-baptiste CaillauRomain DujolBernard Bonnardsubject
[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]0209 industrial biotechnologyMathematics(all)GeodesicGeneral MathematicsMoyennation02 engineering and technologyPropulsionEnergy minimization01 natural sciencesContinuationAveraging020901 industrial engineering & automation0101 mathematicsMinimisation de l'énergieComputingMilieux_MISCELLANEOUSMathematicsTransfert orbital à poussée faibleMéthodes de continuation010102 general mathematicsMathematical analysis[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]Orbital transfer with low thrustEnergy minimizationContinuation methodsOrbit (dynamics)Geostationary orbit[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]MinificationFocus (optics)description
AbstractThis article deals with the transfer between Keplerian coplanar orbits using low propulsion. We focus on the energy minimization problem and compute the averaged system, proving integrability and relating the corresponding trajectories to a three-dimensional Riemannian problem that is analyzed in details. The geodesics provide approximations of the extremals of the energy minimization problem and can be used in order to evaluate the optimal trajectories of the time optimal and the minimization of the consumption problems with continuation methods. In particular, minimizing trajectories for transfer towards the geostationary orbit can be approximated in suitable coordinates by straight lines.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-12-01 |