Mathematical models of lunar orbit shadow and optimization of lunar orbits

被引：1
|
作者：
Qiu S. [1 ]
Cao X. [1 ]
Zhang J. [1 ]
机构：
[1] School of Astronautics, Harbin Institute of Technology, Harbin
来源：
Zhang, Jinxiu (jinxiu@hit.edu.cn) | 1600年 / National University of Defense Technology卷 / 39期
关键词：
Earth shadow; Genetic algorithm; Lunar orbit; Lunar shadow; Tabu search;
D O I：
10.11887/j.cn.201704005
中图分类号：
学科分类号：
摘要：
Mathematical models of lunar and Earth shadow were established for lunar orbits. Also, the criterion was proposed to decide whether the satellite was in the shadow area. Golden section search optimization was used to search out the boundary values of the shadow area. In combination with specific cases, the optimal targeting lunar orbit was given by the genetic algorithm which was embedded in tabu search. The mathematical models of lunar orbit shadow given out in this article are simple enough to be used in on-board computer. Meanwhile, they can meet the engineering accuracy requirements. The embedded genetic algorithm has advantage of fast convergence without trapping in local optimum. © 2017, NUDT Press. All right reserved.
引用
收藏
页码：26 / 32
页数：6
相关论文
共 18 条
  • [1] Escobal P.R., Methods of Orbit Determination, (1965)
  • [2] Jia X., Xu M., Chen L., Umbra prediction algorithms for LEO satellite, Journal of Astronautics, 37, 1, pp. 39-47, (2016)
  • [3] Vallado D.A., Fundamentals of Astrodynamics and Applications, (2007)
  • [4] Mullins L.D., Calculating satellite umbra/penumbra entry and exit positions and times, Journal of the Astronautical Sciences, 39, pp. 411-422, (1991)
  • [5] Zhang S., Cao X., Calculating method of satellite entry and exit positions and times through umbra/penumbra, Aerospace Shanghai, 18, 6, pp. 19-22, (2001)
  • [6] Neta B., Vallado D., On satellite umbra/penumbra entry and exit positions, Journal of the Astronautical Sciences, 46, pp. 91-104, (1998)
  • [7] Wang J., GPS Precise Orbit Determination, (1997)
  • [8] Adhya S., Sibthorpe A., Ziebart M., Et al., Oblate Earth eclipse state algorithm for low-Earth-orbiting satellites, Journal of Spacecraft and Rockets, 41, 1, pp. 157-159, (2004)
  • [9] Kulshrestha S., Bhaskar M.K., Moon shadow eclipse prediction of a lunar orbiting spacecraft, International Research Journal of Engineering and Technology, 2, 4, pp. 1545-1548, (2015)
  • [10] Vokrouhlicky D., Farinella P., Mignard F., Solar radiation pressure perturbations for Earth satellites. IV. effects of the Earth's polar flattening on the shadow structure and the penumbra transitions, Astronomy and Astrophysics, 307, pp. 635-644, (1996)
12