{"title":"Relative Navigation with Laser-Based Intermittent Measurement for Formation Flying Satellites","authors":"Jongwoo Lee, Dae-Eun Kang, Sang-Young Park","volume":134,"journal":"International Journal of Aerospace and Mechanical Engineering","pagesStart":73,"pagesEnd":78,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10008456","abstract":"
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.<\/p>\r\n","references":"[1]\tB. D. Tapley, S. Bettadpur, J. C. Ries, P. F. Thompson, and M. M. Watkins, \u201cGRACE measurements of mass variability in the Earth system,\u201d Science, vol. 305, no. 5683, pp. 503\u2013505, July 2004.\r\n[2]\tG. Krieger, A. Moreira, H. Fiedler, I. Hajnsek, M. Werner, M. Younis, and M. Zink, \u201cTanDEM-X: A satellite formation for high-resolution SAR interferometry,\u201d IEEE Trans. Geoscience and Remote Sensing, vol. 45, no. 11, pp. 3317\u20133341, Oct. 2007.\r\n[3]\tD. A. Shaddock, \u201cSpace-based gravitational wave detection with LISA,\u201d Classical and Quantum Gravity, vol. 25, no. 11, pp. 114012-1\u2013114012-11, May 2008.\r\n[4]\tB. S. Sheard, G. Heinzel, K. Danzmann, D. A. Shaddock, W. M. Klipstein, and W. M. Folkner, \u201cIntersatellite laser ranging instrument for the GRACE follow-on mission,\u201d Journal of Geodesy, pp. 1\u201313, May 2012.\r\n[5]\tX. Wang, D. Gong, L. Xu, X. Shao, and D. Duan, \u201cLaser radar based relative navigation using improved adaptive Huber filter,\u201d Acta Astronautica, vol. 68, no. 11, pp. 1872\u20131880, June\u2013July 2011.\r\n[6]\tS. Jung, S.-Y. Park, H.-E. Park, C.-D. Park, S.-W. Kim, and Y.-S. Jang, \u201cReal-time determination of relative position between satellites using laser ranging,\u201d Journal of Astronomy and Space Sciences, vol. 29, no. 4, pp. 351\u2013362, Dec. 2012.\r\n[7]\tJ. Lee, D.-E. Kang, S.-Y. Park, Y. Lee, and P. Kim, \u201cLaser-based spacecraft relative navigation with intermittent observation data,\u201d in Proc. KSSS 2017 Spring Conference, Byunsan, Republic of Korea, 2017, pp. 78\u201383.\r\n[8]\tD.-J. Lee and K. T. Alfriend, \u201cPrecise real-time orbit estimation using the unscented Kalman filter,\u201d in Proc. AAS\/AIAA Space Flight Mechanics Meeting, Ponce, Puerto Rico, 2003, pp. 1853\u20131872.\r\n[9]\tS. J. Julier and J. K. Uhlmann, \u201cA new extension of the Kalman filter to nonlinear systems,\u201d in Proc. AeroSense: 11th International Symposium on Aerospace\/Defense, Sensing, Simulation and Controls, Orlando, FL, United States, 1997, pp. 182\u2013193.\r\n[10]\tR. Van Der Merwe and E. A. Wan, \u201cThe square-root unscented Kalman filter for state and parameter-estimation,\u201d in Proc. International Conference on Acoustics, Speech, and Signal Processing, Salt Lake City, UT, United States, 2001, pp. 3461\u20133464.\r\n[11]\tL. Zhang, T. Li, H. Yang, S. Zhang, H. Cai, and S. Qian, \u201cUnscented Kalman filtering for relative spacecraft attitude and position estimation,\u201d The Journal of Navigation, vol. 68, no. 3, pp. 528\u2013548, May 2015.\r\n[12]\tD. A. Vallado and W. D. McClain, Fundamentals of Astrodynamics and Applications, Hawthorne, California: Microcosm Press, 2013, pp. 574\u2013584.\r\n[13]\tS. Leung and O. Montenbruck, \u201cReal-time navigation of formation-flying spacecraft using global-positioning-system measurements,\u201d Journal of Guidance Control and Dynamics, vol. 28, no. 2, pp. 226\u2013235, Mar. 2005.\r\n[14]\tK. Lee, H. Oh, H.-E. Park, S.-Y. Park, and C. Park, \u201cLaser-based relative navigation using GPS measurements for spacecraft formation flying,\u201d Journal of Astronomy and Space Sciences, vol. 32, no. 4, pp. 387\u2013393, Dec. 2015.\r\n[15]\tKang, D.-E., Park, S.-Y., and Lee, J., \u201cA satellite relative navigation based on hardware characteristics of femtosecond laser,\u201d in Proc. the 3rd World Congress on Mechanical, Chemical, and Material Engineering (MCM'17), Rome, Italy, pp. ICMIE 119-1\u2013 ICMIE 119-6, June 2017.\r\n[16]\tY.-S. Jang, K. Lee, S. Han, J. Lee, Y.-J. Kim, and S.-W. Kim, \u201cAbsolute distance measurement with extension of nonambiguity range using the frequency comb of a femtosecond laser,\u201d Optical Engineering, vol. 53, no. 12, pp. 122403-1\u2013122403-6, May 2014.\r\n[17]\tE. A. Wan and R. Van Der Merwe, \u201cThe unscented Kalman filter for nonlinear estimation,\u201d in Proc. IEEE Symposium 2000 (AS-SPCC), Lake Louise, AB, pp. 153\u2013158, Oct. 2000.\r\n[18]\tS. Julier, J. Uhlmann, and H. F. Durrant-Whyte, \u201cA new method for the nonlinear transformation of means and covariances in filters and estimators,\u201d IEEE Trans. automatic control, vol. 45, no. 3, pp. 477\u2013482, Mar. 2000.\r\n[19]\tH. Oh, H.-E. Park, K. Lee, S.-Y. Park, and C. Park, \u201cImproved GPS-based satellite relative navigation using femtosecond laser relative distance measurements,\u201d Journal of Astronomy and Space Sciences, vol. 33, no. 1, pp. 45\u201354, Mar. 2016.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 134, 2018"}