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The rendezvous problem between two active spacecraft is formulated as a two player\udnonzero-sum differential game. The local-vertical local-horizontal (LVLH) rotating\udreference frame is used to describe the dynamics of the game. Linear quadratic cooperative\udand noncooperative differential games are applied to obtain a feedback control law. A\udcomparison between Pareto and Nash equilibria was then performed. The state-dependent\udRiccati equation (SDRE) method is applied to extend the Linear Quadratic differential game\udtheory to obtain a feedback controller in the case of nonlinear relative motion dynamics.\udFinally, a multiplayer sequential game strategy is synthesized to extend the control law to the\udrelative motion synchronization of multiple vehicles

Game Theoretic Strategies for Spacecraft Rendezvous and Motion Synchronization