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The reconfiguration of a constellation with several faulty satellites concerns performance improvements in multiple fields, which can be regarded as a multiobjective optimization (MOO) problem. In the optimization design, it is inevitable to evaluate the constellation performance and providing the reconfiguration strategy thousands of times is time-consuming. To decrease the high computational expense, this paper proposes an accurate and efficient MOO method based on the kriging surrogate model, termed as the surrogate-based MOO (SBMOO) algorithm. A new hybrid refinement method is presented to select infilling samples for updating the surrogate model. Different from the orbital phasing maneuver, the low-thrust reconfiguration strategy is implemented to optimize the transfer trajectory with low fuel consumption, by changing the orbital inclination and right ascension of the ascending node. With the tradeoff between the constellation performance and the uniformity of fuel consumption, the MOO problem of constellation reconfiguration can be investigated and settled by the proposed SBMOO algorithm. The simulations confirm that the preferable constellation reconfigurations are achieved with a low computational expense for optimization and a low fuel cost for orbital transfer. [ABSTRACT FROM AUTHOR]

This article proposes a low-thrust reconfiguration strategy for formation flying based on the Jordan normal form and evaluates its performance based on the required control acceleration and fuel cost. First, the relative dynamics of reconfiguration is disposed by Jordan decomposition to describe the unstable component, i.e., the drift velocity along the track direction, which is not explicit in eigenstructure. Next, the initial states of the Jordan-reduced dynamics are regarded as orbital invariants without control to characterize a formation configuration, similar to the definition of orbital elements that are invariants of the unperturbed Keplerian orbit. Based on the derived differential form of ISJD with control, the reconfiguration trajectory is parameterized by a functional integral, the existence of which is then proved analytically by the proposed polynomial series method. The specified optimal trajectories are yielded by the practical Radau pseudospectral method numerically. Finally, the effects of reconfiguring positions and relative orbital orientation on the required acceleration and fuel cost are investigated using a technique for order preference based on similarity to the ideal solution. [ABSTRACT FROM AUTHOR]