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Volume 44 Issue 9
Sep.  2018
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Journal of Beijing University of Aeronautics and Astronautics  > 2018  >  44(9): 1888-1893.
XU Limin, ZHANG Tao, TAO Jiaweiet al. Energy-optimal and fuel-optimal problems for Lambert rendezvous[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(9): 1888-1893. doi: 10.13700/j.bh.1001-5965.2017.0731(in Chinese)
Citation: XU Limin, ZHANG Tao, TAO Jiaweiet al. Energy-optimal and fuel-optimal problems for Lambert rendezvous[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(9): 1888-1893. doi: 10.13700/j.bh.1001-5965.2017.0731(in Chinese)
shu

Energy-optimal and fuel-optimal problems for Lambert rendezvous

doi: 10.13700/j.bh.1001-5965.2017.0731

  • Department of Automation, Tsinghua University, Beijing 100084, China

Funds:

National Natural Science Foundation of China 61673239

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  • Corresponding author: ZHANG Tao, E-mail:taozhang@tsinghua.edu.cn
  • Received Date: 22 Nov 2017
  • Accepted Date: 09 Mar 2018
  • Publish Date: 20 Sep 2018
    Abstract

  • The Lambert two-impulse rendezvous problem is an important problem in orbital-transfer, rendezvous and docking and other fields in space engineering. Fuel-optimal and energy-optimal Lambert rendezvous problems are a kind of Lambert optimization problem that has the typical application background and engineering requirements. In this paper, an analytical calculation method based on vector form is proposed for energy-optimal and fuel-optimal Lambert rendezvous problems, and then the analytic solution in vector form is developed for the energy-optimal and fuel-optimal Lambert rendezvous problems. The nature and characteristics of the two analytic solutions for optimization rendezvous problem are analyzed and contrasted. The simulation results prove the correctness of this method and that fuel consumption of fuel-optimal orbit is less than that of energy-optimal orbit.

     

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