Relative Navigation with Laser-Based Intermittent Measurement for Formation Flying Satellites
This study presents a precise relative navigational method for satellites flying in formation using laser-based intermittent measurement data. The measurement data for the relative navigation between two satellites consist of a relative distance measured by a laser instrument and relative attitude angles measured by attitude determination. The relative navigation solutions are estimated by both the Extended Kalman filter (EKF) and unscented Kalman filter (UKF). The solutions estimated by the EKF may become inaccurate or even diverge as measurement outage time gets longer because the EKF utilizes a linearization approach. However, this study shows that the UKF with the appropriate scaling parameters provides a stable and accurate relative navigation solutions despite the long measurement outage time and large initial error as compared to the relative navigation solutions of the EKF. Various navigation results have been analyzed by adjusting the scaling parameters of the UKF.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1315571Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 825
 B. D. Tapley, S. Bettadpur, J. C. Ries, P. F. Thompson, and M. M. Watkins, “GRACE measurements of mass variability in the Earth system,” Science, vol. 305, no. 5683, pp. 503–505, July 2004.
 G. Krieger, A. Moreira, H. Fiedler, I. Hajnsek, M. Werner, M. Younis, and M. Zink, “TanDEM-X: A satellite formation for high-resolution SAR interferometry,” IEEE Trans. Geoscience and Remote Sensing, vol. 45, no. 11, pp. 3317–3341, Oct. 2007.
 D. A. Shaddock, “Space-based gravitational wave detection with LISA,” Classical and Quantum Gravity, vol. 25, no. 11, pp. 114012-1–114012-11, May 2008.
 B. S. Sheard, G. Heinzel, K. Danzmann, D. A. Shaddock, W. M. Klipstein, and W. M. Folkner, “Intersatellite laser ranging instrument for the GRACE follow-on mission,” Journal of Geodesy, pp. 1–13, May 2012.
 X. Wang, D. Gong, L. Xu, X. Shao, and D. Duan, “Laser radar based relative navigation using improved adaptive Huber filter,” Acta Astronautica, vol. 68, no. 11, pp. 1872–1880, June–July 2011.
 S. Jung, S.-Y. Park, H.-E. Park, C.-D. Park, S.-W. Kim, and Y.-S. Jang, “Real-time determination of relative position between satellites using laser ranging,” Journal of Astronomy and Space Sciences, vol. 29, no. 4, pp. 351–362, Dec. 2012.
 J. Lee, D.-E. Kang, S.-Y. Park, Y. Lee, and P. Kim, “Laser-based spacecraft relative navigation with intermittent observation data,” in Proc. KSSS 2017 Spring Conference, Byunsan, Republic of Korea, 2017, pp. 78–83.
 D.-J. Lee and K. T. Alfriend, “Precise real-time orbit estimation using the unscented Kalman filter,” in Proc. AAS/AIAA Space Flight Mechanics Meeting, Ponce, Puerto Rico, 2003, pp. 1853–1872.
 S. J. Julier and J. K. Uhlmann, “A new extension of the Kalman filter to nonlinear systems,” in Proc. AeroSense: 11th International Symposium on Aerospace/Defense, Sensing, Simulation and Controls, Orlando, FL, United States, 1997, pp. 182–193.
 R. Van Der Merwe and E. A. Wan, “The square-root unscented Kalman filter for state and parameter-estimation,” in Proc. International Conference on Acoustics, Speech, and Signal Processing, Salt Lake City, UT, United States, 2001, pp. 3461–3464.
 L. Zhang, T. Li, H. Yang, S. Zhang, H. Cai, and S. Qian, “Unscented Kalman filtering for relative spacecraft attitude and position estimation,” The Journal of Navigation, vol. 68, no. 3, pp. 528–548, May 2015.
 D. A. Vallado and W. D. McClain, Fundamentals of Astrodynamics and Applications, Hawthorne, California: Microcosm Press, 2013, pp. 574–584.
 S. Leung and O. Montenbruck, “Real-time navigation of formation-flying spacecraft using global-positioning-system measurements,” Journal of Guidance Control and Dynamics, vol. 28, no. 2, pp. 226–235, Mar. 2005.
 K. Lee, H. Oh, H.-E. Park, S.-Y. Park, and C. Park, “Laser-based relative navigation using GPS measurements for spacecraft formation flying,” Journal of Astronomy and Space Sciences, vol. 32, no. 4, pp. 387–393, Dec. 2015.
 Kang, D.-E., Park, S.-Y., and Lee, J., “A satellite relative navigation based on hardware characteristics of femtosecond laser,” in Proc. the 3rd World Congress on Mechanical, Chemical, and Material Engineering (MCM'17), Rome, Italy, pp. ICMIE 119-1– ICMIE 119-6, June 2017.
 Y.-S. Jang, K. Lee, S. Han, J. Lee, Y.-J. Kim, and S.-W. Kim, “Absolute distance measurement with extension of nonambiguity range using the frequency comb of a femtosecond laser,” Optical Engineering, vol. 53, no. 12, pp. 122403-1–122403-6, May 2014.
 E. A. Wan and R. Van Der Merwe, “The unscented Kalman filter for nonlinear estimation,” in Proc. IEEE Symposium 2000 (AS-SPCC), Lake Louise, AB, pp. 153–158, Oct. 2000.
 S. Julier, J. Uhlmann, and H. F. Durrant-Whyte, “A new method for the nonlinear transformation of means and covariances in filters and estimators,” IEEE Trans. automatic control, vol. 45, no. 3, pp. 477–482, Mar. 2000.
 H. Oh, H.-E. Park, K. Lee, S.-Y. Park, and C. Park, “Improved GPS-based satellite relative navigation using femtosecond laser relative distance measurements,” Journal of Astronomy and Space Sciences, vol. 33, no. 1, pp. 45–54, Mar. 2016.