Optimization methods are presented for long-term station keeping of a low-thrust space station in lunar halo orbits for unstable collinear libration points. The methods use discretization of each half-revolution into segments and a set of pseudoimpulses for each segment. A matrix inequality of the sum of the characteristic velocities for the pseudoimpulses is used to transform the problem into a large-scale linear programming form. Terminal constraints are presented as a linear matrix equation using numerical partial derivatives along a reference orbit. Possible station-keeping strategies for quasi-periodic orbits in the vicinity of the Earth-moon collinear libration point L2 are considered. An iterative shooting algorithm, based on the full ephemeris model and differential correction, is used. Preliminary simulation and comparative results of long-term station-keeping strategies for one year are presented. As application examples, two quasi-periodic orbits are considered. The first is similar to a planar Lyapunov orbit. The second is a halo orbit, with continuous visibility of the space station from the Earth. An algorithm for very low-thrust station keeping with long-duration burns is also presented. The algorithm can be used to estimate the required thrust-to-weight ratio of the space station.
Long-Term Station Keeping of Space Station in Lunar Halo Orbits
2015
Article (Journal)
English
Stationkeeping Strategy and Possible Lunar Halo Orbits for Long-Term Space Station (AIAA 2014-0274)
British Library Conference Proceedings | 2014
|Station-Keeping of L2 Halo Orbits Under Sampled-Data Model Predictive Control
BASE | 2022
|