Modified Chebyshev-Picard iteration methods for station-keeping of translunar halo orbits
type: Item
instance of: scholarly article
title: Modified Chebyshev-Picard iteration methods for station-keeping of translunar halo orbits
zbMATH Open document ID: 1264.70032
DOI: 10.1155/2012/926158
author: John L. Junkins
author: Xiaoli Bai
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: The halo orbits around the Earth-Moon \(L_2\) libration point provide a great candidate orbit for a lunar communication satellite, where the satellite remains above the horizon on the far side of the Moon being visible from the Earth at all times. Such orbits are generally unstable, and station-keeping strategies are required to control the satellite to remain close to the reference orbit. A recently developed Modified Chebyshev-Picard Iteration method is used to compute corrective maneuvers at discrete time intervals for station-keeping of halo orbit satellite, and several key parameters affecting the mission performance are analyzed through numerical simulations. Compared with previously published results, the presented method provides a computationally efficient station-keeping approach which has a simple control structure that does not require weight turning and, most importantly, does not need state transition matrix or gradient information computation. The performance of the presented approach is shown to be comparable with published methods.
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 70F07
zbMATH DE Number: 6173693
Wikidata QID: Q58912679
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/926158
OpenAlex ID: W2089730637
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cites work: Q5306369
cites work: The ?Halo? family of 3-dimensional periodic orbits in the Earth-Moon restricted 3-body problem
description: scientific article; zbMATH DE number 6173693