Mathematics & Physics 2016, 9(3), 310–319 УДК 621.396.969.11 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 Received 21.01.2016, received in revised form 27.03.2016, accepted 10.05.2016 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. <...> Introduction Nowadays in order to solve the problem of space vehicles (SV) navigation in near-the-Earth space there are used either ground stations or global navigation satellite systems (GNSS) [1, 2]. <...> Some advantages have alternative navigation variants connected with application of inertial navigation systems (INS) or astronomic navigation systems (ANS) [3–5], using the maps of the star heaven. <...> There are in space the needed beacons, this astronomic sources (AS) of electromagnetic illumination with sufficient stability level. <...> They are far away star groups or galaxies called quasars and also some star systems or separate stars–pulsars [6–10]. <...> All rights reserved c – 310 – Aleksey S.Konakov, Vladimir I. Tislenko, Vyacheslav V. Shavrin A-priory Error of the Initial Conditions . <...> In [6, 7] there is described the history and evolution of the space navigation using pulsars, there <...>