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 J. Sib. Fed. Univ. Math. Phys., 2016, Volume 9, Issue 3, Pages 310–319 (Mi jsfu489)

A-priory error of the initial conditions while solving the problem of the space vehicle navigation using pulsar signals

Aleksey S. Konakov, Vladimir I. Tislenko, Vyacheslav V. Shavrin

Research Institute of Radiotechnic Systems, Tomsk State University of Control Sytems and Radioelectronics, Lenina, 40, Tomsk, 634050, Russia

Abstract: The problem of a space vehicles (SV) navigation while processing the moments of signals from several space sources of Roentgen illumination incoming taking into consideration random error of measurements is discussed in the paper. The device of processing realizes Kalman filter quasi-optimal sigma-point algorithm and forms at the output estimates of SV current coordinates and velocity. It is done estimates error analysis when a-priory input and measured date about the SV position and velocity differ. There is also analyzed intensity of measurement of incoming moments errors due to the observation properties compared with the initial values. Method of statistical tests allowed to estimate the influence of a-priory inaccuracy on the root-mean-square error of the SV coordinate and velocity estimation.

Keywords: autonomic navigation in space, pulsar, non-linear filtration, sigma-point Kalman filter, error of estimation, a-priory data, Monte-Carlo method.

 Funding Agency Grant Number Ministry of Education and Science of the Russian Federation RFMEFI57414X0101 The work is performed within the framework of a project of the Federal Special Purpose Program "Research and development in accordance with the priority development fields of science and industrial complex of Russia for 2014-2020", agreement no. 14.574.21.0101 (unique identifier RFMEFI57414X0101).

DOI: https://doi.org/10.17516/1997-1397-2016-9-3-310-319

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UDC: 621.396.969.11
Accepted: 10.05.2016
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Citation: Aleksey S. Konakov, Vladimir I. Tislenko, Vyacheslav V. Shavrin, “A-priory error of the initial conditions while solving the problem of the space vehicle navigation using pulsar signals”, J. Sib. Fed. Univ. Math. Phys., 9:3 (2016), 310–319

Citation in format AMSBIB
\Bibitem{KonTisSha16} \by Aleksey~S.~Konakov, Vladimir~I.~Tislenko, Vyacheslav~V.~Shavrin \paper A-priory error of the initial conditions while solving the problem of the space vehicle navigation using pulsar signals \jour J. Sib. Fed. Univ. Math. Phys. \yr 2016 \vol 9 \issue 3 \pages 310--319 \mathnet{http://mi.mathnet.ru/jsfu489} \crossref{https://doi.org/10.17516/1997-1397-2016-9-3-310-319} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000412010000006}