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“A model of relative translation and rotation in leader-follower spacecraft formations”

Authors: Raymond Kristiansen, Esten I. GrÝtli, Per J. Nicklasson and Jan T. Gravdahl,
Affiliation: Narvik University College and NTNU, Department of Engineering Cybernetics
Reference: 2007, Vol 28, No 1, pp. 3-14.

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Keywords: Spacecraft formation, relative motion, 3D general orbits, orbital perturbations

Abstract: In this paper, a model of a leader-follower spacecraft formation in six degrees of freedom is derived and presented. The nonlinear model describes the relative translational and rotationalmotion of the spacecraft, and extends previous work by providing a more complete factorization, together with detailed information about the matrices in the model. The resulting model shows many similarities with models for systems such as robot manipulators and marine vehicles. In addition, mathematical models of orbital perturbations due to gravitational variations, atmospheric drag, solar radiation and third-body effects are presented for completeness. Results from simulations are presented to visualize the properties of the model and to show the impact of the different orbital perturbations on the flight path.

PDF PDF (165 Kb)        DOI: 10.4173/mic.2007.1.1



DOI forward links to this article:
  [1] Maodeng Li, Wuxing Jing, Malcolm Macdonald and Colin R. McInnes (2011), doi:10.1016/j.ast.2010.12.002
  [2] Feng Zhang and Guang-Ren Duan (2012), doi:10.1080/00207721.2012.743618
  [3] Feng Zhang and Guangren Duan (2013), doi:10.1016/j.actaastro.2013.01.010
  [4] Feng Zhang and Guangren Duan (2011), doi:10.2514/6.2011-6396
  [5] Haibin Sun, Shihua Li and Shumin Fei (2011), doi:10.1016/j.actaastro.2011.04.009
  [6] Raymond Kristiansen, Per Johan Nicklasson and Jan Tommy Gravdahl (2008), doi:10.1016/j.automatica.2008.04.019
  [7] Feng Zhang and Guang-Ren Duan (2012), doi:10.1007/s11633-012-0654-0
  [8] Qixun Lan, Jun Yang, Shihua Li and Haibin Sun (2014), doi:10.1061/(ASCE)AS.1943-5525.0000476
  [9] Mingyi Huo, Yanning Guo and Xing Huo (2015), doi:10.1155/2015/364138
  [10] Raymond Kristiansen, Per Johan Nicklasson and Jan Tommy Gravdahl (2007), doi:10.1109/ACC.2007.4282636
  [11] Jian Zhang, Genting Yan, Qinglei Hu and Danwei Wang (2014), doi:10.1109/ChiCC.2014.6896874
  [12] Kewei Xia and Wei Huo (2016), doi:10.1007/s11071-016-2597-4
  [13] Kewei Xia and Wei Huo (2016), doi:10.1016/j.isatra.2016.01.017
  [14] Ranran Xu, Haibo Ji, Kun Li, Yu Kang and Kaihong Yang (2015), doi:10.1109/CDC.2015.7402736
  [15] Esten Ingar GrÝtli and Jan Tommy Gravdahl (2008), doi:10.3182/20080706-5-KR-1001.00362
  [16] Raymond Kristiansen and Per Johan Nicklasson (2007), doi:10.3182/20070625-5-FR-2916.00042
  [17] Raymond Kristiansen, Thomas R. Krogstad, Per J. Nicklasson and Jan T. Gravdahl (2007), doi:10.3182/20070625-5-FR-2916.00043
  [18] Liang Sun, Wei Huo and Zongxia Jiao (2016), doi:10.1016/j.isatra.2016.11.022
  [19] Jian Zhang, Qinglei Hu, Danwei Wang and Wenbo Xie (2017), doi:10.1016/j.cja.2017.01.014
  [20] Adolfo Chaves-Jimťnez, Jian Guo and Eberhard Gill (2017), doi:10.2514/1.G002618


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BibTeX:
@article{MIC-2007-1-1,
  title={{A model of relative translation and rotation in leader-follower spacecraft formations}},
  author={Kristiansen, Raymond and GrÝtli, Esten I. and Nicklasson, Per J. and Gravdahl, Jan T.},
  journal={Modeling, Identification and Control},
  volume={28},
  number={1},
  pages={3--14},
  year={2007},
  doi={10.4173/mic.2007.1.1},
  publisher={Norwegian Society of Automatic Control}
};

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