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Methodology for optimizing a Constellation of a Lunar Global Navigation System with a multi-objective optimization algorithm

Arcia Gil, Angel David; Renwick, Daniel; Cappelletti, Chantal; Blunt, Paul

Authors

Angel David Arcia Gil

Daniel Renwick

PAUL BLUNT Paul.Blunt@nottingham.ac.uk
Associate Professor



Abstract

Global Navigation Satellite Systems (GNSS) are not only used in terrestrial applications, but also in Low-Earth orbit satellites and in higher altitude missions. NASA's Magnetospheric Multiscale (MMS) mission has demonstrated the capabilities of existing GNSS systems to provide positioning, navigation, and timing (PNT) services in the Cis-lunar space. The resurgence in plans by national space agencies for Lunar exploration presents a need for accurate, precise, and reliable navigation systems to ensure the safety and success of future missions. Moreover, the increased amount of Moon missions over recent years, shows the requirement of navigation capabilities for Low Lunar orbiters, Moon landers, Moon rovers, and manned missions. The success of Global Navigation Satellite Systems (GNSS) on Earth, presents an opportunity for the study of a potential design requirements and expected performance of a Lunar GNSS constellation. We have approached this problem through the methodology of multi-objective optimization; numerically simulating the orbits, and using the Position Dilution of Precision (PDoP) as the figure of merit to optimize a set of 200 constellation designs and improving them gradually over 1864 generations. Over 12,000 unique constellation designs were generated with the best 10 constellations presented in this paper for consideration and further study. Compared to the literature, these 10 constellations achieved a 44% improvement in PDoP (2.73) using the same number of satellites in each constellation, and meeting the performance requirements of planned Lunar missions.

Citation

Arcia Gil, A. D., Renwick, D., Cappelletti, C., & Blunt, P. (2023). Methodology for optimizing a Constellation of a Lunar Global Navigation System with a multi-objective optimization algorithm. Acta Astronautica, 204, 348-357. https://doi.org/10.1016/j.actaastro.2023.01.003

Journal Article Type Article
Acceptance Date Jan 3, 2023
Online Publication Date Jan 11, 2023
Publication Date Jan 11, 2023
Deposit Date Jan 12, 2023
Publicly Available Date Jan 18, 2023
Journal Acta Astronautica
Print ISSN 0094-5765
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 204
Pages 348-357
DOI https://doi.org/10.1016/j.actaastro.2023.01.003
Keywords Aerospace Engineering
Public URL https://nottingham-repository.worktribe.com/output/15934898
Publisher URL https://www.sciencedirect.com/science/article/pii/S009457652300005X?via%3Dihub
Additional Information This article is maintained by: Elsevier; Article Title: Methodology for optimizing a Constellation of a Lunar Global Navigation System with a multi-objective optimization algorithm; Journal Title: Acta Astronautica; CrossRef DOI link to publisher maintained version: https://doi.org/10.1016/j.actaastro.2023.01.003

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