On the optimal control of the circular restricted three body problem

Abstract : The context of this work is space mechanics. More precisely, we aim at computing low thrust transfers in the Earth-Moon system modeled by the circular restricted three-body problem. The goal is to calculate the optimal steering of the spacecraft engine with respect to two optimization criteria: Final time and fuel consumption. The contributions of this thesis are of two kinds. Geometric, first, as we study the controllability of the system together with the geometry of the transfers (structure of the command) by means of geometric control tools. Numerical, then, different homotopic methods being developed. A two-three body continuation is used to compute minimum time trajectories, and then a continuation on the maximal thrust is considered to reach low thrusts. The minimum consumption problem--minimization of the L1 norm of the control--is connected by a differential continuation to the min- imization of the L2 norm of the control. The trajectories computed are then compared to those obtained using a logarithmic interior penalty. Those methods are applied to simulate the SMART-1 mission of the European Space Agency.
Document type :
Theses
Complete list of metadatas

Cited literature [33 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-00696163
Contributor : Jean-Baptiste Caillau <>
Submitted on : Friday, May 11, 2012 - 10:26:50 AM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM
Long-term archiving on : Sunday, August 12, 2012 - 2:21:21 AM

Identifiers

  • HAL Id : tel-00696163, version 1

Citation

Bilel Daoud. On the optimal control of the circular restricted three body problem. Optimization and Control [math.OC]. Université de Bourgogne, 2011. English. ⟨tel-00696163⟩

Share

Metrics

Record views

270

Files downloads

1607