@article{Fu2024, 
author = {Xiaoyu Fu and Nicola Baresi and Roberto Armellin},
title = {A high-order target phase approach for the station-keeping of periodic orbits},
year = {2024},
journal = {Astrodynamics},
volume = {8},
number = {1},
pages = {61-75},
keywords = {target phase approach (TPhA), station-keeping, Poincaré map, differential algebra (DA), quasi-satellite orbit (QSO)},
url = {https://www.sciopen.com/article/10.1007/s42064-023-0169-1},
doi = {10.1007/s42064-023-0169-1},
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 Poincaré 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.}
}