On the optimal station keeping control of halo orbits

C. Simó; G. Gómez; J. Llibre; R. Martínez; J. Rodríguez

doi:https://doi.org/10.1016/0094-5765(87)90175-5

On the optimal station keeping control of halo orbits

C. Simó, G. Gómez, J. Llibre, R. Martínez, J. Rodríguez

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

96 Citations (Scopus)

Abstract

Techniques for computing and controlling a halo orbit are considered in this paper. It presents a semi-analytical theory for the halo orbits in the Restricted Three Bodies Problem (RTBP), that is valid and amenable to computation to any order. Results are presented up to order 11. The Floquet modes of the monodromy matrix are used to define a local optimal control procedure through the concepts of projection and gain functions. © 1987.

Original language	English
Pages (from-to)	391-397
Journal	Acta Astronautica
Volume	15
DOIs	https://doi.org/10.1016/0094-5765(87)90175-5
Publication status	Published - 1 Jan 1987

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abstract = "Techniques for computing and controlling a halo orbit are considered in this paper. It presents a semi-analytical theory for the halo orbits in the Restricted Three Bodies Problem (RTBP), that is valid and amenable to computation to any order. Results are presented up to order 11. The Floquet modes of the monodromy matrix are used to define a local optimal control procedure through the concepts of projection and gain functions. {\textcopyright} 1987.",

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AU - Simó, C.

AU - Gómez, G.

AU - Llibre, J.

AU - Martínez, R.

AU - Rodríguez, J.

PY - 1987/1/1

Y1 - 1987/1/1

N2 - Techniques for computing and controlling a halo orbit are considered in this paper. It presents a semi-analytical theory for the halo orbits in the Restricted Three Bodies Problem (RTBP), that is valid and amenable to computation to any order. Results are presented up to order 11. The Floquet modes of the monodromy matrix are used to define a local optimal control procedure through the concepts of projection and gain functions. © 1987.

AB - Techniques for computing and controlling a halo orbit are considered in this paper. It presents a semi-analytical theory for the halo orbits in the Restricted Three Bodies Problem (RTBP), that is valid and amenable to computation to any order. Results are presented up to order 11. The Floquet modes of the monodromy matrix are used to define a local optimal control procedure through the concepts of projection and gain functions. © 1987.

U2 - https://doi.org/10.1016/0094-5765(87)90175-5

DO - https://doi.org/10.1016/0094-5765(87)90175-5

M3 - Article

VL - 15

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EP - 397

JO - Acta Astronautica

JF - Acta Astronautica

SN - 0094-5765

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