افزایش دقت در تخمین مدار ماهواره با استفاده از مدل‌های میدان مغناطیسی و فیلتر کالمن گسترش‌یافته

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشکده پرواز- دانشگاه هوایی شهید ستاری- تهران- ایران

2 دانشکده علوم و فنون نوین- دانشگاه تهران- تهران- ایران

3 دانشگاه هوایی-دانشکده پرواز- تهران- ایران

4 دانشگاه هوایی شهید ستاری

چکیده

استفاده از سیستم های ناوبری دقیق و قابل اطمینان جهت تعیین دقیق موقعیت و وضعیت وسایل هوافضایی از اهمیت بالایی برخوردار است. مغناطیس سنج یکی از این نوع حسگرها است که ابزاری کم‌هزینه و قابل‌اطمینان محسوب می شود. هدف این تحقیق، استفاده از حسگر میدان مغناطیسی جهت تعیین موقعیت و تخمین مدار یک ماهواره نوعی می باشد. با استفاده از اندازه گیری های مغناطیس سنج و الگوریتم مستقل در ابتدا موقعیت وسیله تخمین زده می شود. این عمل به‌وسیله قرائت مغناطیس سنج ها و استفاده از مدل‌های میدان مغناطیسی زمین انجام می گردد. استفاده از تکنیک فوق با خطاهایی همراه می‌باشد که برای کاستن از آن از فیلتر کالمن گسترش‌یافته استفاده گردیده است. فیلتر به‌کار رفته بر خطاهای اولیه غلبه کرده و نزدیک شدن نتایج به‌دقت دلخواه را فراهم می آورد. نتایج حاصله برای یک مدار دایروی، دلالت بر دقت و درستی این تخمین ها برای ماهواره های در حال گردش به دور زمین در ارتفاع پایین خواهد داشت.

کلیدواژه‌ها


[1]
"http:\\www.fourwinds10.net/siterun_data/environment/earth_changes," [Online].
[2]
"Levitan, Ben, and Lawrence Harte. "GPS Quick Course 2nd Edition, Systems, Technology and Operation". Althos, 2009."
[3]
Worth, Helen E., and Mame Warren. Transit to Tomorrow: "Fifty Years of Space Research at the Johns Hopkins University Applied Physics Laboratory". Johns Hopkins University Applied Physics Laboratory, 2009..
[4]
"Jianqi, Wang, Cao Xibin, and Sun Zhaowei. "Attitude and orbit determination for small satellite using magnetometer measurement." Aircraft Engineering and Aerospace Technology 75.3 (2003): 241-246."
[5]
"http://timeandnavigation.si.edu/multimedia-asset/transit-satellite-navigation-system," [Online].
[6]
“ﻫﺎدی ﻧﻮﺑﻬﺎری و ﻋﻠﻴﺮﺿﺎ شریفی "ﻣﻘﺪﻣﻪای ﺑﺮ ﻫﺪاﻳﺖ وﺳﺎﻳﻞ ﭘﺮﻧﺪه"داﻧﺸﮕﺎهﺻﻨﻌﺘﻲ ﺷﺮﻳﻒ”.
[7]
"htpp:\\www.wikipedia.com.[online]," [Online].
[8]
"Cheon, Yee-Jin. "Unscented filtering approach to magnetometer-only orbit determination." ICCAS Paper 21 (2003)."
[9]
"htpp:\\www.SpaceNews.com."Galileo Assessment Pulls no Punches". 2011-01-20."
[10]
Lawrence, Anthony." Modern inertial technology: navigation, guidance, and control." Springer Science & Business Media, 2012.
[11]
"http://www.garmin.com/aboutGPS," [Online].
[12]
"htpp:\\www.Jason.oceanobs.com."DORIS information page". Retrieved 2011-12-30.," [Online].
[13]
"htpp:\\www.cnes.frwebCNES-en1516-technical-characteristics.php," [Online].
[14]
U. Edited by CDR Joseph Hall, ""Terrestrial Guidance Methods", Section 16.5.3 of Fundamentals of Naval Weapons Systems".
[15]
"http://ascl.kaist.ac.kr/uav_gnc_08," [Online].
[16]
"http://www.technologyreview.com/view/423363/how-cruise-missiles-would-beat-gps," [Online].
[17]
"Ouellette, Robert, and Kotaro Hirasawa. "A comparison of SLAM implementations for indoor mobile robots." Intelligent Robots and Systems, 2007. IROS 2007. IEEE/RSJ International Conference on. IEEE, 2007.," [Online].
[18]
"http://users.cecs.anu.edu.au/~Jonghyuk.Kim/Research_SLAM.htm," [Online].
[19]
"http://www.al-nasir.com/www/Jamie/Articles/Technology/INS_Inertial_Navigation," [Online].
[20]
“حسین بلندی،مهدی قاسم زاده بادامچی،فرهاد فانی صابری, “مقایسه انواع روشهای مدلسازی میدان مغناطیسی زمین در مدارات پایین (LEO),” در هشتمین کنفرانس سالانه ( بین المللی) انجمن هوافضای ایران LAS2009, اصفهان - شاهین شهر- دانشگاه صنعتی مالک اشتر, 29 بهمن - 1 اسفند”.
[21]
"Filipski, Mohammad Nizam, and Renuganth Varatharajoo. "Earth Magnetic Field Model for Satellite Navigation at Equatorial Vicinity." Jurnal Mekanikal 23 (2007): 31-39."
[22]
"Filipski, Mohammad Nizam, and Renuganth Varatharajoo. "Satellite orbit estimation using Earth magnetic field measurements." International Journal of Engineering and Technology 3.2 (2006): 263-271."
[23]
"Deutschmann, Julie, Itzhack Bar-Itzhack, and R. Harman. "A LEO satellite navigation algorithm based on GPS and magnetometer data." Guidance and control 2001. 2001.".
[24]
"Caruso, Michael J. "Applications of magnetoresistive sensors in navigation systems." No. 970602. SAE Technical Paper, 1997."
[25]
"Jung, Hee, and Mark L. Psiaki. "Tests of magnetometer/sun-sensor orbit determination using flight data." Journal of Guidance, Control, and Dynamics 25.3 (2002): 582-590.".
[26]
"Liu, Li-Yeh, Shyh-Biau Jiang, Tse-Liang Yeh, Huey-Ching Yeh, Jann-Yeng Liu, Ying-Hao Hsu, and Ji-Yi Peng. "The magneto-resistive magnetometer of BCU on the Tatiana-2 satellite." Terrestrial, Atmospheric and Oceanic Sciences 23, no. 3 (2012): 317-326."
[27]
"Lichten, S. M., and J. S. Border. "A demonstration of high precision GPS orbit determination for geodetic applications." The Telecommunications and Data Acquisition Report. Vol. 1. 1987."
[28]
"Wright, James. "Optimal orbit determination." (2003).".
[29]
"Gottlieb, Robert G., Steven J. Sponaugle, and David E. Gaylor. "Orbit determination accuracy requirements for collision avoidance." Proceeding of the 11 th Annual AAS/AIAA Space Flight Mechanics Meeting, Santa Barbara, CA, Feb. 11-15, 2001,. Vol. 2. 2001."
[30]
Klein, Felix. Development of Mathematics in the 19th Century: Appendices," Kleinian Mathematics from an Advanced Standpoint". Vol. 9. Math Science Press, 1979.
[31]
Dong-ju, P. E. N. G., and W. U. Bin. "Kinematic Precise Orbit Determination for LEO Satellites Using Space-borne Dual-frequency GPS Measurements." Chinese Astronomy and Astrophysics 36.3 (2012): 291-306.
[32]
Tu, Jia, Defeng Gu, Yi Wu, Dongyun Yi, and Jiasong Wang. "Phase Error Modeling and Its Impact on Precise Orbit Determination of GRACE Satellites." Mathematical Problems in Engineering 2012 (2012).
[33]
Bisnath, S. B., & Langley, R. B. (2001, January). "Precise orbit determination of low Earth orbiters with GPS point positioning." In proceedings of ION National Technical Meeting (pp. 22-24)., Canada.
[34]
"Juang, Jyh-Ching, Yung-Fu Tsai, and Chiu-Teng Tsai. "Design and verification of a magnetometer-based orbit determination and sensor calibration algorithm." Aerospace Science and Technology 21, no. 1 (2012): 47-54."
[35]
P. Dong and J. Wu, "The Application of GIM in Precise Orbit Determination for LEO Satellites with Single-frequency GPS Measurements", Shanghai: Chinese Academy of Sciences, 2012.
[36]
"Dong-ju, Peng, and Wu Bin. "The application of GIM in precise orbit determination for LEO satellites with single-frequency GPS measurements." Chinese Astronomy and Astrophysics 36, no. 4 (2012): 366-381."
[37]
Rim, H. J., and B. E. Schutz. "Precision orbit determination (POD)." Algorithm Theoretical Basis Document, Center for Space Research, The University of Texas at Austin, Austin, Tex, USA (2002).
[38]
J. Wu, K. Liu, J. Wei, D. Han and J. Xiang, "Particle filter using a new resampling approach applied to LEO satellite autonomous orbit determination with a magnetometer", Acta Astronautica, 2012.
[39]
"Choi, Eun-Jung, Jae-Cheol Yoon, Byoung-Sun Lee, Sang-Young Park, and Kyu-Hong Choi. "Onboard orbit determination using GPS observations based on the unscented Kalman filter." Advances in Space Research 46, no. 11 (2010): 1440-1450."
[40]
"Gomes, Vivian M., Helio K. Kuga, and Ana Paula M. Chiaradia. "Real time orbit determination using GPS navigation solution." Journal of the Brazilian Society of Mechanical Sciences and Engineering 29, no. 3 (2007): 274-278."
[41]
"Ke, Han, et al. "Pico-satellite autonomous navigation with magnetometer and sun sensor data." Chinese Journal of Aeronautics 24.1 (2011): 46-54."
[42]
http://www.nasa.gov/topics/earth/features/2012-poleReversal.html.
[43]
Durney, Carl H., and Curtis C. Johnson. "Introduction to modern electromagnetics". New York: McGraw-Hill, 1969.
[44]
Rao, Nannapaneni Narayana. "Elements of engineering electromagnetics". Prentice Hall, 1977.
[45]
Griffiths, David Jeffrey, and Reed College. "Introduction to electrodynamics". Vol. 3. Upper Saddle River, NJ: prentice Hall, 1999.
[46]
دکترامین علیزاده ودیگران .هواواقلیم شناسی.انتشارات دانشگاه مشهد.1388 صفحات 33-34-35.
[47]
Diston, Dominic J. "Computational Modelling and Simulation of Aircraft and the Environment", Volume 1: Platform Kinematics and Synthetic Environment. John Wiley & Sons, 2009.
[48]
Gauss, Carl Friedrich. "The intensity of the Earth’s magnetic force reduced to absolute measurement." Translated by Susan P. Johnson (1995).
[49]
"Edelstein, Alan. "Advances in magnetometry." Journal of Physics: Condensed Matter 19.16 (2007): 165217."
[50]
"Snare, Robert C. "A history of vector magnetometry in space." GEOPHYSICAL MONOGRAPH-AMERICAN GEOPHYSICAL UNION 103 (1998): 101-114."
[51]
"Siddiqi, Asif A. "Deep space chronicle: a chronology of deep space and planetary probes", 1958-2000. No. 24. National Aeronautics & Space Admin, 2002."
[52]
"http://www.nasa.gov/mission_pages/themis/spacecraft/SCM.html#.U2VjU4GSzs0," [Online].
[53]
"http://nssdc.gsfc.nasa.gov/nmc/experimentDisplay.do?id=1961-010A-01," [Online].
[54]
"http://saturn.jpl.nasa.gov/spacecraft/overview/," [Online].
[55]
"Walter, E.; Pronzato, L. "Identification of Parametric Models from Experimental Data". London, UK: Springer-Verlag 1997.".
[56]
"http://www.uah.edu/eng/departments/ece/graduate/ece-course-material.," [Online].
[57]
Curtis, Howard. "Orbital mechanics for engineering students". Butterworth-Heinemann, 2013., 2 ed.
[58]
M. R. Torkamani and M. A. Amiri, "analysis of classical orbit determinations in order to calculating the space debris orbit elements," aerospace confrence, vol. 1, no. 1, 2014.