Correcting semi-major to reduce effect of J2 perturbation on formation flying

Hua Yi Li; Wen Yi Qiang; Ying Chun Zhang; Bao Hua Li

doi:10.1109/ICMLC.2006.258456

Correcting semi-major to reduce effect of J₂ perturbation on formation flying

Hua Yi Li^*
, Wen Yi Qiang
, Ying Chun Zhang
, Bao Hua Li

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

After the relative motion coordinate frame is defined, linear equations of relative motion described by small orbital element bias are developed with respect to it. And then the differential expressions of relative position drifts due to $1 perturbation are established. Integrating them along the orbit, the drifts without effects of true anomaly are obtained. A cost function denoting the magnitude of drifts is selected. The optimal solution to the function is the optimal correction of semi-major. The calculating formula is available. Numerical simulations are employed to check the fidelity of the approach. Comparisons of illustrations show that the approach has more advantages in reducing the relative position drifts and better shape the relative orbit.

Original language	English
Title of host publication	Proceedings of the 2006 International Conference on Machine Learning and Cybernetics
Publisher	IEEE Computer Society
Pages	797-802
Number of pages	6
ISBN (Print)	1424400619, 9781424400614
DOIs	https://doi.org/10.1109/ICMLC.2006.258456
State	Published - 2006
Event	5th International Conference on Machine Learning and Cybernetics, ICMLC 2006 - Dalian, China Duration: 13 Aug 2006 → 16 Aug 2006

Publication series

Name	Proceedings of the 2006 International Conference on Machine Learning and Cybernetics
Volume	2006

Conference

Conference	5th International Conference on Machine Learning and Cybernetics, ICMLC 2006
Country/Territory	China
City	Dalian
Period	13/08/06 → 16/08/06

Keywords

Formation flying
J perturbation
Relative orbit
Relative position drift

Access to Document

10.1109/ICMLC.2006.258456

Cite this

Li, H. Y., Qiang, W. Y., Zhang, Y. C., & Li, B. H. (2006). Correcting semi-major to reduce effect of J₂ perturbation on formation flying. In Proceedings of the 2006 International Conference on Machine Learning and Cybernetics (pp. 797-802). Article 4028171 (Proceedings of the 2006 International Conference on Machine Learning and Cybernetics; Vol. 2006). IEEE Computer Society. https://doi.org/10.1109/ICMLC.2006.258456

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title = "Correcting semi-major to reduce effect of J2 perturbation on formation flying",

abstract = "After the relative motion coordinate frame is defined, linear equations of relative motion described by small orbital element bias are developed with respect to it. And then the differential expressions of relative position drifts due to \$1 perturbation are established. Integrating them along the orbit, the drifts without effects of true anomaly are obtained. A cost function denoting the magnitude of drifts is selected. The optimal solution to the function is the optimal correction of semi-major. The calculating formula is available. Numerical simulations are employed to check the fidelity of the approach. Comparisons of illustrations show that the approach has more advantages in reducing the relative position drifts and better shape the relative orbit.",

keywords = "Formation flying, J perturbation, Relative orbit, Relative position drift",

author = "Li, \{Hua Yi\} and Qiang, \{Wen Yi\} and Zhang, \{Ying Chun\} and Li, \{Bao Hua\}",

year = "2006",

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booktitle = "Proceedings of the 2006 International Conference on Machine Learning and Cybernetics",

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note = "5th International Conference on Machine Learning and Cybernetics, ICMLC 2006 ; Conference date: 13-08-2006 Through 16-08-2006",

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Li, HY, Qiang, WY, Zhang, YC & Li, BH 2006, Correcting semi-major to reduce effect of J₂ perturbation on formation flying. in Proceedings of the 2006 International Conference on Machine Learning and Cybernetics., 4028171, Proceedings of the 2006 International Conference on Machine Learning and Cybernetics, vol. 2006, IEEE Computer Society, pp. 797-802, 5th International Conference on Machine Learning and Cybernetics, ICMLC 2006, Dalian, China, 13/08/06. https://doi.org/10.1109/ICMLC.2006.258456

Correcting semi-major to reduce effect of J₂ perturbation on formation flying. / Li, Hua Yi; Qiang, Wen Yi; Zhang, Ying Chun et al.
Proceedings of the 2006 International Conference on Machine Learning and Cybernetics. IEEE Computer Society, 2006. p. 797-802 4028171 (Proceedings of the 2006 International Conference on Machine Learning and Cybernetics; Vol. 2006).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - After the relative motion coordinate frame is defined, linear equations of relative motion described by small orbital element bias are developed with respect to it. And then the differential expressions of relative position drifts due to $1 perturbation are established. Integrating them along the orbit, the drifts without effects of true anomaly are obtained. A cost function denoting the magnitude of drifts is selected. The optimal solution to the function is the optimal correction of semi-major. The calculating formula is available. Numerical simulations are employed to check the fidelity of the approach. Comparisons of illustrations show that the approach has more advantages in reducing the relative position drifts and better shape the relative orbit.

AB - After the relative motion coordinate frame is defined, linear equations of relative motion described by small orbital element bias are developed with respect to it. And then the differential expressions of relative position drifts due to $1 perturbation are established. Integrating them along the orbit, the drifts without effects of true anomaly are obtained. A cost function denoting the magnitude of drifts is selected. The optimal solution to the function is the optimal correction of semi-major. The calculating formula is available. Numerical simulations are employed to check the fidelity of the approach. Comparisons of illustrations show that the approach has more advantages in reducing the relative position drifts and better shape the relative orbit.

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Li HY, Qiang WY, Zhang YC, Li BH. Correcting semi-major to reduce effect of J₂ perturbation on formation flying. In Proceedings of the 2006 International Conference on Machine Learning and Cybernetics. IEEE Computer Society. 2006. p. 797-802. 4028171. (Proceedings of the 2006 International Conference on Machine Learning and Cybernetics). doi: 10.1109/ICMLC.2006.258456