Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2020. No. 6
ContentsFull text in Russian (pdf)
DOI https://doi.org/10.30898/1684-1719.2020.6.1
UDC 528.629.195
Assessment of the influence of the composition of measurements in a single-position passive radio engineering system on the accuracy of the satellite orbit determination
D. D. Gabriel’yan, A. N. Gorbachev, V. I . Demchenko
Rostov-on-Don research institute of radio communication, Nansena st. 130, Rostov-on-Don, 344038, Russia
The paper was received on May 20, 2020
Abstract. The problems of selecting and conducting a comparative analysis of quality functions for obtaining estimates of satellite orbit parameters based on the results of measurements are researched. The analysis is carried out for the case of single-position passive radio engineering system, in which measurements can be made only for the angular coordinates of the satellite and the frequency of the received signal. The proposed quality functionals are formed based on the corresponding likelihood relations in the white Gaussian noise approximation. The proposed functionals are the squared difference between the measured values of the angular coordinates of the satellite and the frequency of obtained signal and corresponding values obtained in accordance with the accepted model of the satellite motion. Estimates of the orbit parameters are formed from the minimum values of the proposed quality functionals. It is shown that the proposed quality functionals allow forming unbiased estimates of Kepler elements of the orbit. The relations defining elements of the Fischer matrix are presented, on the basis of which potentially achievable values of variances of estimates of orbit elements and correlations of values of standard deviations of estimates of various parameters of the satellite orbit can be obtained. The results of numerical modeling and comparative analysis of the obtained variances of estimates of Kepler elements of the orbit using the proposed quality functionals are presented for different composition of measurements.
Keywords: estimation of the satellite orbit parameters, single-position passive radio engineering system, quadratic quality functional, measurement composition, estimation variance.
References
1. Demchenko V.I., Kosogor A.A., Razdorkin D.Ya., Saranov A.A., Gvozdyakov Yu.A. Ku-band high-precision trajectory measurement system. Proceedings of the IV All-Russian Scientific and Technical Conference “Aktual'nyye problemy raketno-kosmicheskogo priborostroyeniya i informatsionnykh tekhnologiy” - "Actual Problems of Rocket and Space Instrument Making and Information Technologies". June 15-17, 2011. Moscow, Radiotekhnika Publ. P.264-274. (In Russian)
2. Patent 2313104 Russian Federation, G01S3/42. Urlichich Yu.M., Baluevsky Yu.N., Ganzhenko V.P. et al. Sposob opredeleniya parametrov orbity geostatsionarnogo sputnika [Method for determining the orbital parameters of a geostationary satellite]. Applicant and patent holder: NPO Space Instrument Engineering. Appl. March 24, 2005. Publ. December 20, 2007. (In Russian)
3. Gabrielyan D.D., Gorbachev A.N., Demchenko V.I. Geostationary and geosynchronous satellites orbit determination by single-position passive radar systems. Radiotekhnika - Radio Engineering. 2014. No. 8. P. 16-23. (In Russian)
4. Gabrielyan D.D., Gorbachev A.N., Demchenko V.I. The use of quadratic functionals to determine the parameters of the orbit of a spacecraft in a passive radar system. Proceeding of X All-Russian scientific and technical conference "Radiolokatsiya i radiosvyaz" - "Radar and Radio Communication". November 21-23, 2016. Moscow. Kotelnikov IRE RAS. 2016. (In Russian)
5. Urmaev M.S. Orbital'nyye metody kosmicheskoy geodezii [Orbital methods of space geodesy]. Moscow, Nedra Publ. 1981. 256 p. (In Russian)
6. Bakulev P.A. Radiolokatsionnyye sistemy [Radar systems]. Moscow, Radiotehnika Publ. 2004. 320 p. (In Russian)
For citation:
Gabriel’yan D.D., Gorbachev A.N., Demchenko V.I. Assessment of the influence of the composition of measurements in a single-position passive radio engineering system on the accuracy of the satellite orbit determination. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2020. No. 6. Available at http://jre.cplire.ru/jre/jun20/1/text.pdf. DOI: https://doi.org/10.30898/1684-1719.2020.6.1