Modified Chebyshev-Picard iteration methods for station-keeping of translunar halo orbits

Xiaoli Bai, John L. Junkins

Research output: Contribution to journalArticle

20 Scopus citations


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.

Original languageEnglish (US)
Article number926158
JournalMathematical Problems in Engineering
StatePublished - 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

Fingerprint Dive into the research topics of 'Modified Chebyshev-Picard iteration methods for station-keeping of translunar halo orbits'. Together they form a unique fingerprint.

  • Cite this