Non-linear Dynamics Method to Angles-Only Navigation for Non-cooperative Rendezvous of Spacecraft
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Abstract:
Aiming at the problem of relative navigation for non-cooperative rendezvous of spacecraft, this paper proposes a new angles-only navigation architecture using non-linear dynamics method. This method does not solve the problem of poor observability of angles-only navigation through orbital or attitude maneuvering, but improves the observability of angles-only navigation through capturing the non-linearity of the system in the evolution of relative motion. First, three relative dynamics models and their corresponding line-of-sight (LoS) measurement equations are introduced, including the rectilinear state relative dynamics model, the curvilinear state relative dynamics model, and the relative orbital elements (ROE) state relative dynamics model. Then, an observability analysis theory based on the Gramian matrix is introduced to determine which relative dynamics model could maximize the observability of angles-only navigation. Next, an adaptive extended Kalman filtering scheme is proposed to solve the problem that the angles-only navigation filter using the non-linear dynamics method is sensitive to measurement noises. Finally, the performances of the proposed angles-only navigation architecture are tested by means of numerical simulations, which demonstrates that the angles-only navigation filtering scheme without orbital or attitude maneuvering is completely feasible through improving the modeling of the relative dynamics and LoS measurement equations.
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This work was supported by the China Aerospace Science and Technology Corporation Eighth Research Institute Industry-University-Research Cooperation Fund (No.SAST 2020-019).
DU Ronghua, LIAO Wenhe, ZHANG Xiang. Non-linear Dynamics Method to Angles-Only Navigation for Non-cooperative Rendezvous of Spacecraft[J]. Transactions of Nanjing University of Aeronautics & Astronautics,2022,(4):400-414