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Analytical derivations show reduced satellite drift in multiple spacecraft formations, suggesting improved orbital control methods.
Methods for synthesizing control of the relative motion of a group of spacecraft are considered. The main goal is to develop a control strategy that compensates for the disintegration of the group caused by relative orbital drift. The control design employs techniques based on various types of graphs to describe satellite interactions. A proof is provided demonstrating the feasibility of eliminating relative satellite drift using a method based on directed graphs. The resulting algorithm is adapted to scenarios where one or more spacecraft in the group may malfunction. To derive the control in such cases, a modified version of the Raft protocol for achieving consensus in multi-agent systems is used. In addition to analytical derivations and the general methodology, the work presents results from numerical simulations.
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R. R. Dadashev (2025) studied this question.
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