Design and Control of Libration Point Spacecraft Formations
Infeld, Samantha I.
Josselyn, Scott B.
Ross, Michael I.
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We investigate the concurrent problem of orbit design and formation control around a libration point. The problem formulation is based on a framework of multi-agent, nonlinear optimal control. The optimality criterion is fuel consumption modeled as the L1-norm of the control acceleration. Fuel budgets are allocated by isoperimetric constraints. The nonsmooth optimal control problem is discredited using DIDO, a software package that implements the Legendre pseudospectral method. The discretized problem is solved using SNOPT, a sequential quadratic programming solver. Among many, one of the advantages of our approach is that we do not require linearization or analytical results; consequently, the inherent nonlinearities associated with the problem are automatically exploited. Sample results for formations about the Sun-Earth L2 point in the 3-body circular restricted dynamical framework are presented. Globally optimal solutions for relaxed and almost periodic formations are presented for both a large separation constraint (about a third to half of orbit size), and a small separation constraint (a few hundred km or about 5_10_6 of orbit size).
The article of record as published may be located at http://dx.doi.org/10.2514/6.2004-4786Proceedings of AIAA Guidance, Navigation, and Control Conference ; Paper no. AIAA 2004-4786, Providence, Rhode Island, Aug. 16-19 2004
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