6533b86ffe1ef96bd12cdfcf

RESEARCH PRODUCT

Sensitivity analysis for time optimal orbit transfer

Joseph NoaillesJean-baptiste Caillau

subject

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]0209 industrial biotechnologyControl and OptimizationApplied Mathematics010102 general mathematicsMinimum timeMathematical analysis[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]02 engineering and technologyFunction (mathematics)Management Science and Operations ResearchTime optimal01 natural sciencesArc (geometry)020901 industrial engineering & automationControl theoryTransfer (computing)Physics::Space PhysicsOrbit (dynamics)SatelliteSensitivity (control systems)[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]0101 mathematicsComputingMilieux_MISCELLANEOUSMathematics

description

The minimum time transfer of a satellite around the Earth is studied. In order to deal numerically with low thrusts, a new method is introduced: Based on a so-called noncontrollability function, the technique treats the ha1 time as a parameter. The properties of the method arc studied by means of an infinite dimensional sensitivity analysis. The numerical results obtained by this approach for very low thrusts are given

yearjournalcountryeditionlanguage
2001-01-01
https://hal.archives-ouvertes.fr/hal-00540246