Abstract
Methods and algorithms for determining the orbit of a space vehicle onboard using the measurements of global navigation satellite (NS) systems are considered. Methods and algorithms for obtaining radio navigation measurements in the case of the highly dynamic orbital motion are described. The celestial mechanics interpretation of measurements is given. Algorithms for the three-phase processing of trajectory measurements that improve the reliability and accuracy of determining the orbit are proposed. A mathematical model of a simulator of the satellite navigation signals is developed. The computational results are presented.
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REFERENCES
E. L. Akim, A. P. Astakhov, R. V. Bakit’ko, V. P. Pol’shchikov, V. A. Stepan’yants, A. G. Tuchin, and D. A. Tuchin, “Autonomous navigation system of near-Earth spacecraft,” J. Comput. Syst. Sci. Int. 48, 295 (2009).
D. A. Tuchin, “Autonomous spacecraft’s on-board orbit determination,” KIAM Preprint No. 7 (Keldysh Inst. Appl. Math., Moscow, 2019).
E. L. Akim, M. A. Kapralov, V. A. Stepan’yants, A. G. Tuchin, and D. A. Tuchin, “Parameter determination of the spacecraft by the onboard navigation system on measurements of doppler and pseudorange of space satellite systems,” KIAM Preprint No. 20 (Keldysh Inst. Appl. Math., Moscow, 2004).
D. A. Tuchin, “The algorithms of navigation satellites signals reception on board the spacecraft using a correlator,” KIAM Preprint No. 4 (Keldysh Inst. Appl. Math., Moscow, 2018).
GLONASS. Principles of Design and Operation, Ed. by A. I. Perov and V. N. Kharisov, 4th ed. (Radiotekhnika, Moscow, 2010) [in Russian].
I. V. Kudryavtsev, I. N. Mishchenko, A. I. Volynkin, et al., On-Board Devices of Satellite Radio Navigation, Ed. by V. S. Shebshaevich (Transport, Moscow, 1988) [in Russian].
N. V. Mikhailov, Autonomous Navigation of Spacecraft Using Satellite Radio Navigation Systems (Politekhnika, St. Petersburg, 2014) [in Russian].
E. L. Akim and D. A. Tuchin, “The ionosperic errors of pseudorange measurements for LEO satellites,” KIAM Preprint No. 4 (Keldysh Inst. Appl. Math., Moscow, 2004).
E. S. Gordienko, I. S. Il’in, P. V. Mzhel’skii, E. A. Mikhailov, E. A. Palamarchuk, A. V. Pogodin, A. G. Tuchin, D. A. Tuchin, E. N. Filippova, P. A. Khudorozhkov, and V. S. Yaroshevskii, “ZOND-PP and RELEK small spacecraft ballistics, navigation and flight control,” Vestn. NPO im. S. A. Lavochkina, No. 2, 31–43 (2016).
Multifunctional Space Platform Navigator, Ed. by S. A. Lemeshevskii (FGUP NPO im. S. A. Lavochkina, Khimki, 2017) [in Russian].
A. D. Dubyago, The Determination of Orbits (Takt.-Tekh. Liter., Moscow, Leningrad, 1949) [in Russian].
A. K. Platonov and R. K. Kazakova, “Creating tools for design and operational works for ballistic ensuring of space missions. Operation control work at the first computers,” KIAM Preprint No. 38 (Keldysh Inst. Appl. Math., Moscow, 2014).
T. M. Eneev, A. K. Platonov, and R. K. Kazakova, “Determination of the parameters of the orbit of an artificial satellite according to ground-based measurements,” Iskusstv. Sputn. Zemli, No. 1, 43–55 (1960).
E. L. Akim and T. M. Eneev, “Determination of motion parameters of a spacecraft based on trajectory measurements,” Kosmich. Issled. 1, 5–50 (1963).
Yu. R. Sergeeva and D. A. Tuchin, “Algorithm for determining the analytical model parameters of the navigation satellites motion,” KIAM Preprint No. 109 (Keldysh Inst. Appl. Math., Moscow, 2016).
GLONASS Global Navigation Satellite System. Interface Control Document, Revision 5.1 (Ross. Nauch.-Issled. Inst. Kosm. Priborostr., Moscow, 2002) [in Russian].
Global Position System Wing (GPSW) Systems Engineering and Integration. Interface Specification IS-GPS-200, Revision E (Navstar GPS Space Segment, Navigation User Interfaces, 2010).
S. V. Komovkin, S. M. Lavrenov, A. G. Tuchin, D. A. Tuchin, et al., “Celestial-mechanical interpretation of the two-way radio measurements of radial velocity of spacecraft for scientific applications,” Vestn. NPO im. S. A. La-vochkina, No. 4, 77–80 (2015).
http://www.morion.com.ru/rus/.
R. Bettin, Guidance in Space (Mashinostroenie, Moscow, 1966) [in Russian].
O. Montenbruck and Th. Pfleger, Astronomy on the Personal Computer (Springer, Berlin, Heidelberg, 2000; Piter, St. Petersburg, 2002).
N. Idel’son, Method of Least Squares (KUBUCh, Leningrad, 1932) [in Russian].
A. G. Tuchin, “Parameter determination of the space craft motion by results of measurements provided a noise is in dynamic system,” KIAM Preprint No. 2 (Keldysh Inst. Appl. Math., Moscow, 2004).
A. G. Tuchin and A. A. Gorokhova, “Local processing of range measurements for near-Earth orbits of spacecraft,” KIAM Preprint No. 99 (Keldysh Inst. Appl. Math., Moscow, 1990).
P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization (Academic, New York, London, 1981; Mir, Moscow, 1985).
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Tuchin, D.A. Determining the Orbit Onboard a Space Vehicle. J. Comput. Syst. Sci. Int. 59, 430–450 (2020). https://doi.org/10.1134/S1064230720020112
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DOI: https://doi.org/10.1134/S1064230720020112