Abstract
It is presented in this paper that an innovative concept quasi-periodic formation flying, which can hold bounded trajectories without any restriction initialization, compared with the traditional restriction on initial velocity by linear equation for relative dynamics. The improved periodic linear equation associated with J2 perturbation is derived from the Taylor expansion of the J2 relative dynamics and the analytic solutions of osculating orbital elements. And then it is constructed the controller preserving Hamiltonian structure just for the simplified representation of formation flying on the near-circular orbit. Finally it is investigated that the stability of the quasi-periodic J2 invariant relative orbits generated from the equilibrium with its topology restructured from hyperbolic to elliptic by the Floquet multipliers of the controlled time-periodic Hamiltonian system.
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Luo, Q., Zheng, Y., Xu, M. (2020). Quasi-periodic J2 Invariant Relative Orbits for Formation Flying. In: Jia, Y., Du, J., Zhang, W. (eds) Proceedings of 2019 Chinese Intelligent Systems Conference. CISC 2019. Lecture Notes in Electrical Engineering, vol 593. Springer, Singapore. https://doi.org/10.1007/978-981-32-9686-2_61
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DOI: https://doi.org/10.1007/978-981-32-9686-2_61
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