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New approach to halo orbit determination and control. (English) Zbl 0851.70010

Summary: A simple, iterative numerical method for the determination of halo orbits of the circular restricted three-body problem is developed. The nonlinearities inherent to the halo orbit problem are treated as trajectory-dependent persistent disturbance inputs. The method then utilizes a disturbance accommodating, linear state-feedback controller for the computation of a trajectory about a libration point that can be used as a fuel-efficient nominal path. It is also shown that the method can be used as an iterative method for generating a large, complex, quasiperiodic Lissajous trajectory starting with a first-order reference trajectory.

MSC:

70F07 Three-body problems
70Q05 Control of mechanical systems
70M20 Orbital mechanics
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