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Relative Navigation with Intermittent Laser-based Measurement for Spacecraft Formation Flying

  • Lee, Jongwoo (Astrodynamics and Control Laboratory, Department of Astronomy, Yonsei University) ;
  • Park, Sang-Young (Astrodynamics and Control Laboratory, Department of Astronomy, Yonsei University) ;
  • Kang, Dae-Eun (Astrodynamics and Control Laboratory, Department of Astronomy, Yonsei University)
  • Received : 2018.06.15
  • Accepted : 2018.08.21
  • Published : 2018.09.30

Abstract

This paper presents relative navigation using intermittent laser-based measurement data for spacecraft flying formation that consist of two spacecrafts; namely, chief and deputy spacecrafts. The measurement data consists of the relative distance measured by a femtosecond laser, and the relative angles between the two spacecrafts. The filtering algorithms used for the relative navigation are the extended Kalman filter (EKF), unscented Kalman filter (UKF), and least squares recursive filter (LSRF). Numerical simulations reveal that the relative navigation performances of the EKF- and UKF-based relative navigation algorithms decrease in accuracy as the measurement outage period increases. However, the relative navigation performance of the UKF-based algorithm is 95 % more accurate than that of the EKF-based algorithm when the measurement outage period is 80 sec. Although the relative navigation performance of the LSRF-based relative navigation algorithm is 94 % and 370 % less accurate than those of the EKF- and UKF-based navigation algorithms, respectively, when the measurement outage period is 5 sec; the navigation error varies within a range of 4 %, even though the measurement outage period is increased. The results of this study can be applied to the design of a relative navigation strategy using the developed algorithms with laser-based measurements for spacecraft formation flying.

Keywords

References

  1. Jang YS, Lee K, Han S, Lee J, Kim YJ, et al., Absolute distance measurement with extension of nonambiguity range using the frequency comb of a femtosecond laser, Opt. Eng. 53, 122403 (2014). https://doi.org/10.1117/1.OE.53.12.122403
  2. Julier S, Uhlmann J, Durrant-Whyte HF, A new method for the nonlinear transformation of means and covariances in filters and estimators, IEEE Trans. Autom. Control 45, 477-482 (2000). https://doi.org/10.1109/9.847726
  3. Jung S, Park SY, Park HE, Park CD, Kim SW, et al., Real-time determination of relative position between satellites using laser ranging, J. Astron. Space Sci. 29, 351-362 (2012). https://doi.org/10.5140/JASS.2012.29.4.351
  4. Kang DE, Park SY, Lee J, A satellite relative navigation based on hardware characteristics of femtosecond laser, Proceedings of the 3rd World Congress on Mechanical, Chemical, and Material Engineering (MCM'17), Rome, Italy, 8-10 Jun 2017.
  5. Kim JH, Park SY, Kim YR, Park ES, Jo JH, et al., Analysis of scaling parameters of the batch unscented transformation for precision orbit determination using satellite laser ranging data, J. Astron. Space Sci. 28, 183-192 (2011). https://doi.org/10.5140/JASS.2011.28.3.183
  6. Krieger G, Moreira A, Fiedler H, Hajnsek I, Werner M, et al., TanDEM-X: A satellite formation for high-resolution SAR interferometry, IEEE Trans. Geosci. Remote Sensing 45, 3317-3341 (2007). https://doi.org/10.1109/TGRS.2007.900693
  7. Lee DJ, Alfriend KT, Precise real-time orbit estimation using the unscented Kalman filter, Proceedings of 13th Annual AAS/AIAA Space Flight Mechanics Meeting, Ponce, Puerto Rico, 9-13 Feb 2003.
  8. Lee DJ, Alfriend KT, Sigma point filtering for sequential orbit estimation and prediction, J. Spacecr. Rockets 44, 388-398 (2007). https://doi.org/10.2514/1.20702
  9. Lee J, Kang DE, Park SY, Lee Y, Kim P, Laser-based spacecraft relative navigation with intermittent observation data, Proceedings of KSSS 2017 Spring Conference, Byunsan, Korea, 27-28 Apr 2017.
  10. Lee J, Kang DE, Park SY, Relative navigation with laser-Based intermittent measurement for formation flying satellites, Int. Sch. Sci. Res. Innov. 12, 73-77 (2018).
  11. Lee K, Oh H, Park HE, Park SY, Park C, Laser-based relative navigation using GPS measurements for spacecraft formation flying, J. Astron. Space Sci. 32, 387-393 (2015). https://doi.org/10.5140/JASS.2015.32.4.387
  12. Oh H, Park HE, Lee K, Park SY, Park C, Improved GPS-based satellite relative navigation using femtosecond laser relative distance measurements, J. Astron. Space Sci. 33, 45-54 (2016). https://doi.org/10.5140/JASS.2016.33.1.45
  13. Shaddock DA, Space-based gravitational wave detection with LISA, Class. Quantum Gravity 25, 114012 (2008). https://doi.org/10.1088/0264-9381/25/11/114012
  14. Sheard BS, Heinzel G, Danzmann K, Shaddock DA, Klipstein WM, et al., Intersatellite laser ranging instrument for the GRACE follow-on mission, J. Geod. 86, 1083-1095 (2012). https://doi.org/10.1007/s00190-012-0566-3
  15. Tapley BD, Bettadpur S, Ries JC, Thompson PF, Watkins MM, GRACE measurements of mass variability in the Earth system, Science 305, 503-505 (2004). https://doi.org/10.1126/science.1099192
  16. Vallado DA, Fundamentals of Astrodynamics and Applications, 4th edition, ed. Wertz J (Microcosm Press, California, 2013), 574-584, 734-759, 793-797.
  17. Wan EA, Van Der Merwe R, The unscented Kalman filter for nonlinear estimation, Proceedings of the IEEE 2000 Adaptive Systems for Signal Processing, Communications, and Control (AS-SPCC) Symposium, Lake Louise, AB, Canada, 4 Oct 2000.
  18. Wang X, Gong D, Xu L, Shao X, Duan D, Laser radar based relative navigation using improved adaptive Huber filter, Acta Astronaut. 68, 1872-1880 (2011). https://doi.org/10.1016/j.actaastro.2011.01.002