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Effect of orbital shadow at an Earth-Moon Lagrange point on relay communication mission

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Abstract

The shadow effect is an important constraint to be considered during the implementation of exploration missions. In this paper, for the Earth-Moon Lagrange point L2 relay communication mission, shadow effect issues on a periodic orbit about L2 are investigated. A systematic analysis based on the time domain and phase space is performed including the distribution, duration, and frequency of shadows. First, the Lindstedt-Poincare and second-order differential correction methods are used in conjunction with the DE421 planetary ephemeris to achieve a mission trajectory family in a high-precision ephemeris model. Next, on the basis of a conical shadow model, the influence of different orbital phases and amplitudes on the shadow is analyzed. The distribution of the shadow is investigated as well. Finally, the configuration of the shadow and its characteristics are studied. This study provides an important reference and basis for mission orbit design and shadow avoidance for relay satellites at an Earth-Moon Lagrange point.

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References

  1. Farquhar R W. Lunar communications with libration-point satellites. J Spacecraft Rockets, 1967, 4: 1383–1384

    Article  Google Scholar 

  2. Xu M, Xu S J. Trajectory and correction maneuver during the transfer from Earth to halo orbit. Chin J Aeronaut, 2008, 21: 200–206

    Article  Google Scholar 

  3. Li M T, Zheng J H. Impulsive lunar halo transfers using the stable manifolds and lunar flybys. Acta Astronaut, 2010, 66: 1481–1492

    Article  Google Scholar 

  4. Canalias E, Masdemont J J. Computing natural transfers between Sun C Earth and Earth C Moon lissajous libration point orbits. Acta Astronaut, 2008, 63: 238–248

    Article  Google Scholar 

  5. Parker J S. Families of low-energy lunar halo transfers. In: Proceedings of AAS/AIAA Spaceflight Dynamics Conference, Tampa, 2006. 06–132

    Google Scholar 

  6. Kulkami J, Campbell M. Asymptotic stabilization of motion about an unstable orbit: application to spacecraft flight in halo orbit. In: Proceeding of the 2004 American Control Conference, Boston, 2004. 1025–1030

    Google Scholar 

  7. Xu M, Zhou N, Wang J L. Robust adaptive strategy for station keeping of halo orbit. In: Proceedings of the 24th Chinese Control and Decision Conference, Taiyuan, 2012. 3086–3091

    Google Scholar 

  8. Keeter T M. Station-keeping strategies for libration point orbit: target point and floquet mode approaches. Dissertation for Master’s Degree. Indiana: Purdue University, West Lafayette, 1994. 145–148

    Google Scholar 

  9. Liu L, Cao J F, Hu S J, et al. Maintenance of relay orbit about the Earth-Moon collinear libration points. J Deep Space Explor, 2015, 2: 318–324

    Google Scholar 

  10. Dong G L, Xu D Z, Li H T, et al. Initial result of the Chinese Deep Space Stations’ coordinates from Chinese domestic VLBI experiments. Sci China Inf Sci, 2017, 60: 012203

    Article  Google Scholar 

  11. Jorba A, Masdemond J. Dynamics in the centre manifold of the collinear points of the restricted three body problem. Phys D, 1999, 132: 189–213

    Article  MathSciNet  MATH  Google Scholar 

  12. Li M T. Low energy trajectory design and optimization for collinear libration points missions. Dissertation for Ph.D. Degree. Beijing: Center for Space Science and Applied Research Chinese Academy of Sciences, 2010. 46–49

    Google Scholar 

  13. Montenbruck O, Gill E. Satellite Orbits: Models, Methods and Application. 2nd ed. Berlin: Springer, 2001. 80–81

    MATH  Google Scholar 

Download references

Acknowledgements

This work was supported by National Science and Technology Major Project of the Ministry of Science and Technology of China (Lunar Exploration Program), National Natural Science Foundation of China (Grant No. 11572038), and Chang Jiang Scholars Program.

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Correspondence to Dong Qiao.

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Tang, Y., Wu, W., Qiao, D. et al. Effect of orbital shadow at an Earth-Moon Lagrange point on relay communication mission. Sci. China Inf. Sci. 60, 112301 (2017). https://doi.org/10.1007/s11432-016-9069-9

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  • DOI: https://doi.org/10.1007/s11432-016-9069-9

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