Increased accuracy in determining the orbital parameters based on convolution operators application as a result of small interval GLONASS data processing

This paper describes the way to increase the accuracy of determining the orbital parameters for the spacecraft navigation. It is based on the small interval recurrent processing of GLONASS data. The approach implies the use of two-step version of information processing. The first step applies the analogue (non-discrete) filter with a finite memory assessing the convolution parameters according to the latest orbiting of the spacecraft (observation). The second step is a joint optimal processing (alignment) of the obtained convolution assessments by a discrete filter taking into account the selected transition matrix. For the illustrative purposes and to show the results with less complexity we considered only the case of circular orbits. To prove the efficiency of joint data processing for navigation results this article calculates reduction ratios for error variance causing secular drifts of orbits.

References

[1] The Federal Target Program "Promotion, development and use of GLONASS system for 2012-2020". Approved by the RF Government Decree of 3.03.2012. No. 189. Stage II 2016-2020.

[2] Radionavigation Plan of the Russian Federation. Approved by order of the ministry’s Rosthese from 28.07.2015. No. 2123.

[3] Zabokritsky A.V., Pasynkov V.V., Ponomarev S.A. et al. Tekhnologii navigatsionno-ballisticheskogo obespecheniya poletov kosmicheskikh sredstv [Technology navigation and ballistic support flights of space vehicles]. Proc. of the reports "Ballistics yesterday, today and tomorrow". St. Petersburg, GCA n.a. A.F. Mozhayskiy, 2008, pp. 82-97 (in Russ.).

[4] Wentzel E.S., Ovcharov L.A. Teoriya veroyatnostey i ee inzhenernye prilozheniya [Theory of probability and its engineering applications]. Moscow, Nauka Publ., 1988. 480 p.

[5] Lysenko L.N., Betanov V.V., Zvyagin F.V. Teoreticheskie osnovy ballistiko-navigatsionnogo obespecheniya kosmicheskikh poletov [Theoretical foundations of ballistic and navigation support space missions]. Moscow, MGTU im. N.E. Baumana Publ., 2014, 518 p.

[6] Ivanov N.M., Lysenko L.N. Ballistika i navigatsiya kosmicheskikh apparatov [Ballistics and navigation satellites]. Moscow, Drofa Publ., 2004. 544 p.

[7] Kovalenko Y.A., Petrov V.A., Poletaev B.I. Methods of assessing the accuracy of long-term prediction of spacecraft motion on a nearly circular orbit due to errors GPP model. Izvestiya RRAN [Proceedings of the Russian Akademy of Missile and Artillery Sciences], 2005, no. 4 (45), pp. 88-94 (in Russ.).