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Beuselinck T.,Redshift Design and Engineering BVBA | van Bavinchove C.,Redshift Design and Engineering BVBA | Abrashkin V.I.,Central Specialized Design Bureau | Kazakova A.E.,Central Specialized Design Bureau | Sazonov V.V.,RAS Keldysh Institute of Applied Mathematics
Cosmic Research | Year: 2010

The results of reconstruction of rotational motion of the Foton M-3 satellite during its uncontrolled flight in September 2007 are presented. The reconstruction was performed by processing the data of onboard measurements of the Earth's magnetic field obtained by the DIMAC instruments. The measurements were carried out continuously throughout the flight, but the processing technique dealt with the data portions covering time intervals of a few orbital revolutions. The data obtained on each such interval were processed jointly by the least squares method with using integration of the equations of satellite motion relative to its center of mass. When processing, the initial conditions of motion and the used mathematical model's parameters were estimated. The results of processing 16 data sets gave us complete information about the satellite motion. This motion, which began at a low angular velocity, had gradually accelerated and in five days became close to the regular Euler precession of an axi-symmetric solid body. At the end of uncontrolled flight the angular velocity of the satellite relative to its lengthwise axis was 0.5 deg/s; the angular velocity projection onto the plane perpendicular to this axis had a magnitude of about 0.18 deg/s. © 2010 Pleiades Publishing, Ltd. Source


Abrashkin V.I.,Central Specialized Design Bureau | Voronov K.E.,Samara State Aerospace University | Piyakov I.V.,Samara State Aerospace University | Puzin Y.Y.,Central Specialized Design Bureau | And 3 more authors.
Cosmic Research | Year: 2015

Actual controlled rotational motion of the Bion M-1 satellite is reconstructed for the modes of the orbital and single-axis solar orientation. The reconstruction was performed using data of onboard measurements of the vectors of angular velocity and the Earth’s magnetic field (EMF) strength. The reconstruction procedure is based on the kinematic equations of the rotational motion of a solid body. In the framework of this procedure, measurement data for two types collected at a certain time interval are processed jointly. Measurements of angular velocity are interpolated by piecewise–linear functions, which are substituted in the kinematic differential equations for quaternion giving the transition from the satellite instrument coordinate system to the inertial (the second geoequatorial) coordinate system. Thus the obtained equations represent the kinematic model of the satellite rotational motion. The solution to these equations approximating the actual motion is derived from the condition of the best (in the sense of the least-square method) matching measurement data of the EMF strength vector with the calculated values. The described procedure allows us to reconstruct the actual rotational satellite motion using one solution to kinematic equations over time intervals with durations of more than 5 h. Found reconstructions were used to calculate the residual microaccelerations. © 2015, Pleiades Publishing, Ltd. Source


Abrashkin V.I.,Central Specialized Design Bureau | Voronov K.E.,Samara State Aerospace University | Piyakov I.V.,Samara State Aerospace University | Puzin Y.Y.,Central Specialized Design Bureau | And 3 more authors.
Cosmic Research | Year: 2016

The actual controlled rotational motion of the Foton M-4 satellite is reconstructed for the mode of single-axis solar orientation. The reconstruction was carried out using data of onboard measurements of vectors of angular velocity and the strength of the Earth’s magnetic field. The reconstruction method is based on the reconstruction of the kinematic equations of the rotational motion of a solid body. According to the method, measurement data of both types collected at a certain time interval are processed together. Measurements of the angular velocity are interpolated by piecewise-linear functions, which are substituted in kinematic differential equations for a quaternion that defines the transition from the satellite instrument coordinate system to the inertial coordinate system. The obtained equations represent the kinematic model of the satellite rotational motion. A solution of these equations that approximates the actual motion is derived from the condition of the best (in the sense of the least squares method) match between the measurement data of the strength vector of the Earth’s magnetic field and its calculated values. The described method makes it possible to reconstruct the actual rotational satellite motion using one solution of kinematic equations over time intervals longer than 10 h. The found reconstructions have been used to calculate the residual microaccelerations. © 2016, Pleiades Publishing, Ltd. Source


Abrashkin V.I.,Central Specialized Design Bureau | Voronov K.E.,Samara State Aerospace University | Piyakov A.V.,Samara State Aerospace University | Puzin Y.Y.,Central Specialized Design Bureau | And 4 more authors.
Cosmic Research | Year: 2015

The results of the reconstruction of uncontrolled attitude motion of the satellite Aist during its flight in May 2013 are presented. The reconstruction was performed by the processing of data from onboard measurements of the Earth’s magnetic field. The processing technique was applied to data segments covering time intervals of about 100 min. The data obtained at each such interval were processed jointly using the least squares method by integrating the equations of the satellite motion relative to its center of mass. When processing, the initial conditions of motion and parameters of the used mathematical model were estimated. The results of processing several data intervals made it possible to obtain sufficiently complete information about the motion of the satellite. © 2015, Pleiades Publishing, Ltd. Source

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