Numerical continuation and stationkeeping of quasi-periodic quasi-satellite orbits



Fu, Xiaoyu ORCID: 0000-0002-6405-5655, Baresi, Nicola and Armellin, Roberto ORCID: 0000-0002-3516-6428
(2026) Numerical continuation and stationkeeping of quasi-periodic quasi-satellite orbits. In: 75th International Astronautical Congress (IAC), 2024-10-14 - 2024-10-18, Milan, Italy.

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Abstract

Quasi-satellite orbits (QSOs) have been under the research spotlight due to their linear stability and potential to remain in close proximity to the secondary body in a restricted three-body system. In this research, the numerical continuation and stationkeeping method of quasi-periodic QSOs is investigated based on the Poincaré section. By means of Differential Algebra (DA) techniques, a DA-enhanced numerical method for computing quasi-periodic orbits is proposed. This method is formulated to solve for the invariant curve of a quasi-periodic torus on a Poincaré section. An enhanced Poincaré map, which is established with DA techniques, effectively reduce the problem dimensionality and promote computational efficiency. A family of quasi-periodic QSOs around Phobos are continued to validate the proposed method. A subsequent stationkeeping approach adapted from the Target Phase Approach (TPhA) is tailored for the maintenance of generated quasi-periodic QSOs. A stochastic optimisation scheme for the adapted TPhA method is formulated in search for fuel-optimal and error-robust stationkeeping parameters. Stationkeeping simulations for the achieved quasi-periodic QSO family are provided to showcase the effectiveness of the adapted TPhA method.

Item Type: Conference Item (Unspecified)
Uncontrolled Keywords: 40 Engineering, 4001 Aerospace Engineering
Divisions: Faculty of Science & Engineering
Faculty of Science & Engineering > School of Engineering
Depositing User: Symplectic Admin
Date Deposited: 01 Nov 2024 16:02
Last Modified: 13 Oct 2025 00:33
DOI: 10.1016/j.actaastro.2025.09.065
Related Websites:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3186989