Rotational motion of Foton M-4
Autor: | V. V. Sazonov, S. Yu. Chebukov, N. D. Semkin, V. I. Abrashkin, Yu. Ya. Puzin, K. E. Voronov, I. V. Piyakov |
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Rok vydání: | 2016 |
Předmět: |
Physics
010504 meteorology & atmospheric sciences Differential equation Mathematical analysis Coordinate system Rotation around a fixed axis Aerospace Engineering Astronomy and Astrophysics Angular velocity Kinematics Residual 01 natural sciences Classical mechanics Space and Planetary Science Orientation (geometry) 0103 physical sciences Quaternion 010303 astronomy & astrophysics 0105 earth and related environmental sciences |
Zdroj: | Cosmic Research. 54:296-302 |
ISSN: | 1608-3075 0010-9525 |
Popis: | 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. |
Databáze: | OpenAIRE |
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