6533b851fe1ef96bd12aa2c6

RESEARCH PRODUCT

Coplanar control of a satellite around the Earth

Joseph NoaillesJean-baptiste Caillau

subject

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]0209 industrial biotechnologyControl and OptimizationGeometric analysis010102 general mathematicsControl (management)Structure (category theory)[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]02 engineering and technologyTopologyOptimal control01 natural sciencesControllabilityComputational Mathematics020901 industrial engineering & automationControl and Systems EngineeringConvergence (routing)Satellite[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]0101 mathematicsComputingMilieux_MISCELLANEOUSMathematicsParametric statistics

description

We investigate the minimum time transfer of a satellite around the Earth. Using an optimal control model, we study the controllability of the system and propose a geometrical analysis of the optimal command structure. Furthermore, in order to solve the problem numerically, a new parametric technique is introduced for which convergence properties are established.

https://hal.archives-ouvertes.fr/hal-00540251