6533b826fe1ef96bd1284690
RESEARCH PRODUCT
Minimum Time Control of the Restricted Three-Body Problem
Jean-baptiste CaillauBilel Daoudsubject
[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]Surface (mathematics)0209 industrial biotechnologyControl and OptimizationApplied MathematicsHomotopy010102 general mathematicsMathematical analysis[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]02 engineering and technologyThree-body problemOptimal controlSubmanifold01 natural sciencesControllability020901 industrial engineering & automationSimple (abstract algebra)Gravitational singularity[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]0101 mathematicsMathematicsdescription
The minimum time control of the circular restricted three-body problem is considered. Controllability is proved on an adequate submanifold. Singularities of the extremal flow are studied by means of a stratification of the switching surface. Properties of homotopy maps in optimal control are framed in a simple case. The analysis is used to perform continuations on the two parameters of the problem: The ratio of the masses, and the magnitude of the control.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-11-01 | SIAM Journal on Control and Optimization |