Abstract
A novel high-order target phase approach (TPhA) for the station-keeping of periodic orbits is proposed in this work. The key elements of the TPhA method, the phase-angle Poincare map and high-order maneuver map, are constructed using differential algebra (DA) techniques to determine station-keeping epochs and calculate correction maneuvers. A stochastic optimization framework tailored for the TPhA-based station-keeping process is leveraged to search for fuel-optimal and error-robust TPhA parameters. Quasi-satellite orbits (QSOs) around Phobos are investigated to demonstrate the efficacy of TPhA in mutli-fidelity dynamical models. Monte Carlo simulations demonstrated that the baseline QSO of JAXA’s Martian Moons eXploration (MMX) mission could be maintained with a monthly maneuver budget of approximately 1 m/s.
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Acknowledgements
Xiaoyu Fu received funding from the Vice-Chancellor’s Studentship at the University of Surrey, UK. The authors acknowledge the University of Surrey for providing access to their High-Performance Cluster “Eureka” resources, which contributed to the research results reported within this paper.
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Xiaoyu Fu received his B.Eng. and B.Sc. degrees in aerospace engineering from Beihang University, China, in 2016 and 2019, respectively. He is pursuing a Ph.D. degree at Surrey Space Centre in the University of Surrey, UK. His research interests include trajectory design and spacecraft guidance. E-mail: x.fu@surrey.ac.uk
Nicola Baresi graduated from the University of Colorado Boulder in 2017 with a Ph.D. thesis on spacecraft formation flight and quasi-periodic invariant tori. He later moved to Japan working on the MMX and EQUULEUS missions as a postdoctoral fellow at the Institute of Space and Astronautical Sciences of JAXA. Starting from 2019, Dr. Baresi has joined the University of Surrey, UK, where he is now a lecturer in orbital mechanics at Surrey Space Centre. Nicola is an elected member of the Space Flight Mechanics committee of the American Astronautical Society, as well as a Fellow of the UK Higher Education Academy. E-mail: n.baresi@surrey.ac.uk
Roberto Armellin received his M.Sc. and Ph.D. degrees in aerospace engineering from Politecnico di Milano, Italy, in 2003 and 2007, respectively. Since November 2020, he has been a professor at Te Pūnaha Ātea - Space Institute at the University of Auckland, New Zealand. His current research interests include space trajectory optimization, spacecraft navigation and guidance, and space situational awareness. E-mail: roberto.armellin@auckland.ac.nz
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Fu, X., Baresi, N. & Armellin, R. A high-order target phase approach for the station-keeping of periodic orbits. Astrodyn 8, 61–75 (2024). https://doi.org/10.1007/s42064-023-0169-1
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DOI: https://doi.org/10.1007/s42064-023-0169-1