Skip to main content
Log in

Efficient high-accuracy north-south station-keeping strategy for geostationary satellites

  • Article
  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

Station-keeping (SK) is indispensable in actual geostationary (GEO) satellite missions. Due to the luni-solar gravity perturbations, the inclination of a GEO satellite suffers the issues of secular drift and long-period oscillation. Current north-south (NS) SK strategies maintain the GEO satellite’s orbit with high accuracy but low fuel efficiency. In this work, an efficient high-accuracy NS-SK strategy is developed for the GEO satellites. First, an averaging method is employed to decrease the accumulation of the secular drift within a one-solar-day SK cycle, while the long-period oscillation caused by the solar gravity is damped to further improve the orbital accuracy using the impulse and finite-thrust propulsions. Second, we contribute a fuel-optimal cycle that reduces the fuel consumption and a fixed-interval cycle that executes SK control in fixed time interval every day to further enhance the proposed NS-SK strategy. Numerical simulations show that the improved strategy can achieve high-accuracy NS-SK with little fuel consumption. Moreover, results also demonstrate that the fixed-interval cycle can reach higher NS-SK accuracy while consuming less fuel.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Zou H, Ye Y G, Zong Q G, et al. Imaging energetic electron spectrometer onboard a Chinese navigation satellite in the inclined GEO orbit. Sci China Tech Sci, 2018, 61: 1845–1865

    Article  Google Scholar 

  2. Li H N, Gao Z Z, Li J S, et al. Mathematical prototypes for collocating geostationary satellites. Sci China Tech Sci, 2013, 56: 1086–1092

    Article  Google Scholar 

  3. Lei H. Dynamical models for secular evolution of navigation satellites. Astrodynamics, 2020, 4: 57–73

    Article  Google Scholar 

  4. Li Y H, Yang K Z, Shan C S, et al. A preliminary study on dead geostationary satellite removal. Sci China Tech Sci, 2010, 53: 3389–3396

    Article  Google Scholar 

  5. Sellamuthu H, Sharma R K. Regularized luni-solar gravity dynamics on resident space objects. Astrodynamics, 2021, 5: 91–108

    Article  Google Scholar 

  6. Zhao S G, Gurfil P, Zhang J R. Optimal servicing of geostationary satellites considering Earth’s triaxiality and lunisolar effects. J Guidance Control Dyn, 2016, 39: 2219–2231

    Article  Google Scholar 

  7. Dai X, Lou Y, Dai Z, et al. Real-time precise orbit determination for BDS satellites using the square root information filter. GPS Solut, 2019, 23: 45–58

    Article  Google Scholar 

  8. Soop E M. Handbook of Geostationary Orbits. Dordrecht: Kluwer Academic Publishers, 1994. 3–6

    Book  Google Scholar 

  9. Eckstein M C. Geostationary orbit control considering deterministic cross coupling effects. In: International Astronautical Federation Congress, DLR. Dresden, 1990

    Google Scholar 

  10. de Bruijn F J, Theil S, Choukroun D, et al. Geostationary satellite station-keeping using convex optimization. J Guidance Control Dyn, 2015, 39: 605–616

    Article  Google Scholar 

  11. Eckstein M C. Optimal station keeping by electric propulsion with thrust operation constraints. Celestial Mech, 1980, 21: 129–147

    Article  Google Scholar 

  12. Guelman M M. Geostationary satellites autonomous closed loop station keeping. Acta Astronaut, 2014, 97: 9–15

    Article  Google Scholar 

  13. Weiss A, Kalabić U V, Di Cairano S. Model predictive control for simultaneous station keeping and momentum management of low-thrust satellites. In: American Control Conference. Chicago: IEEE, 2015. 2305–2310

    Google Scholar 

  14. Weiss A, Kalabić U V, Di Cairano S. Station keeping and momentum management of low-thrust satellites using MPC. Aerosp Sci Technol, 2018, 76: 229–241

    Article  Google Scholar 

  15. Gazzino C, Arzelier D, Louembet C, et al. Long-term electric-propulsion geostationary station-keeping via integer programming. J Guid Control Dyn, 2019, 42: 976–991

    Article  Google Scholar 

  16. Wang G B, Meng Y H, Zheng W, et al. Artificial frozen orbit control scheme based on J2 perturbation. Sci China Tech Sci, 2010, 53: 3138–3144

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shuang Li.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant No. 61273051), sponsored by Qing Lan Project, and the Funding for Outstanding Doctoral Dissertation in Nanjing University of Aeronautics and Astronautics (NUAA) (Grant No. BCXJ19-12).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huang, X., Yang, B., Li, S. et al. Efficient high-accuracy north-south station-keeping strategy for geostationary satellites. Sci. China Technol. Sci. 64, 2415–2426 (2021). https://doi.org/10.1007/s11431-021-1907-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-021-1907-x

Keywords

Navigation