0000000000504967

AUTHOR

Jean-baptiste Pomet

showing 4 related works from this author

Time minimization versus energy minimization in the one-input controlled Kepler problem with weak propulsion

2014

International audience

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]low-thrust transfer[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]minimum-time controlComputingMilieux_MISCELLANEOUS
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Averaging for minimum time control problems and applications

2017

International audience

[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]ComputingMilieux_MISCELLANEOUS
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Time Versus Energy in the Averaged Optimal Coplanar Kepler Transfer towards Circular Orbits

2015

International audience; The aim of this note is to compare the averaged optimal coplanar transfer towards circular orbits when the costs are the transfer time transfer and the energy consumption. While the energy case leads to analyze a 2D Riemannian metric using the standard tools of Riemannian geometry (curvature computations, geodesic convexity), the time minimal case is associated to a Finsler metric which is not smooth. Nevertheless a qualitative analysis of the geodesic flow is given in this article to describe the optimal transfers. In particular we prove geodesic convexity of the elliptic domain.

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]ComputationGeodesic convexity02 engineering and technologyRiemannian geometryCurvature01 natural sciencesDomain (mathematical analysis)Low thrust orbit transfersymbols.namesakeAveraging0203 mechanical engineeringFOS: MathematicsTime transferGeodesic convexityCircular orbit0101 mathematicsMathematics - Optimization and ControlMathematics020301 aerospace & aeronauticsApplied Mathematics010102 general mathematicsMathematical analysisOptimal controlOptimization and Control (math.OC)Metric (mathematics)symbolsRiemann-Finsler Geometry[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]Mathematics::Differential Geometry
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Averaging techniques in the time minimal orbital transfer using low propulsion

2015

International audience

[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]ComputingMilieux_MISCELLANEOUS
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