TY - GEN

T1 - Optimal configuration of a planet-finding mission consisting of a telescope and a constellation of occulters

AU - Kolemen, Egemen

AU - Kasdin, N. Jeremy

PY - 2007/12/1

Y1 - 2007/12/1

N2 - The optimal configuration of a satellite formation consisting of a telescope and an occulter around Sun-Earth L2 Halo orbits is studied. Trajectory optimization of the occulter motion between imaging sessions of different stars is performed using a range of different criteria and methods. For the direct optimization method, an automated algorithm is written, which converts the optimal control problem to a discrete optimization problem. This is then solved using a Sequential Quadratic Programming (SQP) algorithm. Thus, the global optimization problem is transformed into a Time-Dependent Traveling Salesman Problem (TSP). The TSP is augmented with various constraints that arrive from the mission, and this problem is solved employing Tabu Search and Branch-And-Cut algorithms. For a concrete understanding of the feasibility of the mission, the performance of an example spacecraft, SMART-1, is analyzed.

AB - The optimal configuration of a satellite formation consisting of a telescope and an occulter around Sun-Earth L2 Halo orbits is studied. Trajectory optimization of the occulter motion between imaging sessions of different stars is performed using a range of different criteria and methods. For the direct optimization method, an automated algorithm is written, which converts the optimal control problem to a discrete optimization problem. This is then solved using a Sequential Quadratic Programming (SQP) algorithm. Thus, the global optimization problem is transformed into a Time-Dependent Traveling Salesman Problem (TSP). The TSP is augmented with various constraints that arrive from the mission, and this problem is solved employing Tabu Search and Branch-And-Cut algorithms. For a concrete understanding of the feasibility of the mission, the performance of an example spacecraft, SMART-1, is analyzed.

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M3 - Conference contribution

AN - SCOPUS:38549176706

SN - 9780877035428

T3 - Advances in the Astronautical Sciences

SP - 215

EP - 231

BT - Guidance and Control 2007

T2 - 30th Annual AAS Rocky Mountain Guidance and Control Conference

Y2 - 3 February 2007 through 7 February 2007

ER -