Abstract
Quasi-static microaccelerations of four satellites of the Foton series (nos. 11, 12, M-2, M-3) were monitored as follows. First, according to measurements of onboard sensors obtained in a certain time interval, spacecraft rotational motion was reconstructed in this interval. Then, along the found motion, microacceleration at a given onboard point was calculated according to the known formula as a function of time. The motion was reconstructed by the least squares method using the solutions to the equations of satellite rotational motion. The time intervals in which these equations make reconstruction possible were from one to five orbital revolutions. This length is increased with the modulus of the satellite angular velocity. To get an idea on microaccelerations and satellite motion during an entire flight, the motion was reconstructed in several tens of such intervals. This paper proposes a method for motion reconstruction suitable for an interval of arbitrary length. The method is based on the Kalman filter. We preliminary describe a new version of the method for reconstructing uncontrolled satellite rotational motion from magnetic measurements using the least squares method, which is essentially used to construct the Kalman filter. The results of comparison of both methods are presented using the data obtained on a flight of the Foton M-3.
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Sazonov, V.V., Chebukov, S.Yu., Abrashkin, V.I., et al., Analysis of low-frequency microaccelerations onboard the Foton-11 satellite, Cos. Res., 2001, vol. 39, no. 4, pp. 391–407.
Abrashkin, V.I., Balakin, V.L., Belokonov, I.V., et al., Uncontrolled attitude motion of the Foton-12 satellite and quasi-steady microaccelerations onboard it, Cos. Res., 2003, vol. 41, no. 1, pp. 39–50.
Abrashkin, V.I., Volkov, M.V., Egorov, A.V., et al., An analysis of the low-frequency component in measurements of angular velocity and microacceleration onboard the Foton-12 satellite, Cos. Res., 2003, vol. 41, no. 6, pp. 593–612.
Sazonov, V.V., Chebukov, S.Yu., Abrashkin, V.I., et al., Low-frequency microaccelerations onboard the Foton-11 satellite, Cos. Res., 2004, vol. 42, no. 2, pp. 178–193.
Abrashkin, V.I., Bogoyavlenskii, N.L., Voronov, K.E., et al., Uncontrolled motion of the Foton M-2 satellite and quasistatic microaccelerations on its board, Cos. Res., 2007, vol. 45, no. 5, pp. 424–444.
Abrashkin, V.I., Kazakova, A.E., Sazonov, V.V., and Chebukov, S,Yu., Determination of attitude motion of the Foton M-2 satellite using the data of onboard measurements of its angular velocity, Cos. Res., 2008, vol. 46, no. 2, pp. 146–165.
Beuselinck, T., Van Bavinchove, C., Sazonov, V.V., and Chebukov, S.Yu., An analysis of low-frequency component in microacceleration measurements made onboard the Foton M-2 satellite, Cos. Res., 2008, vol. 46, no. 5, pp. 436–455.
Beuselinck, T., Van Bavinchove, C., Sazonov, V.V., and Chebukov, S.Yu., Determination of Foton M-2 satellite attitude motion by the data of microacceleration measurements, Cos. Res., 2009, vol. 47, no. 6, pp. 500–512.
Beuselinck, T., Van Bavinchove Abrashkin, V.I., et al., Determination of attitude motion of the Foton M-3 satellite according to the data of onboard measurements of the Earth’s magnetic field, Cos. Res., 2010, vol. 48, no. 3, pp. 246–259.
Sazonov, V.V., Processing the data of measurements of angular velocity and microaccelerations onboard the Foton-12 satellite, Cos. Res., 2011, vol. 49, no. 5, pp. 407–423.
Beuselinck, T., Van Bavinchove, A. and Sazonov, V.V., Quasi-steady accelerations onboard Foton M-3 spacecraft, Preprint 8 of Inst. of Appl. Math., Russ. Acad. Sci., 2010.
Beuselinck, T., Van Bavinchove, A. and Sazonov, V.V., Some tests of acceleration measurement data obtained onboard Foton M-3, Preprint 16 of Inst. of Appl. Math., Russ. Acad. Sci., 2010.
Bryson, A. and Yu-Chi Ho, Applied Optimal Control: Optimization, Estimation, and Control, Waltham, Mass Blaisdell, 1969.
El’yasberg, P.E., Opredelenie dvizheniya po rezul’tatam izmerenii (Determination of Motion from Measurements), Moscow Nauka, 1976.
Glotov, Yu.N. and Sazonov, V.V., Monitoring of microaccelerations onboard an oriented spacecraft, Preprint 63 of Inst. of Appl. Math., Russ. Acad. Sci., 2010.
Abrashkin, V.I., Voronov, K.E., Piyakov, A.V., et al., Unmanaged rotational movement of the small Stork satellite, Cos. Res., 2015, vol. 53, no. 4, p. 360.
Gill, Ph., Murray, W., and Wright, M., Practical Optimization, London Emerald Group, 1982.
Hairer, E., Nørset, S.P., and Wanner, G., Solving Ordinary Differential Equations. I. Nonstiff Problems, Berlin–Heidelberg Springer, 1993.
Pankratov, V.A and Sazonov, V.V., Reconstruction of rotary motion of a spacecraft with the help of a Kalman filter, Preprint 61 of Inst. of Appl. Math., Russ. Acad. Sci., 2013.
Rauch, H.E., Tung, F., and Striebel, C.T., Maximum likelihood estimates of linear dynamic systems, AIAA J., 1965, vol. 3, no. 8, pp. 1445–1450.
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Original Russian Text © V.A. Pankratov, V.V. Sazonov, 2016, published in Kosmicheskie Issledovaniya, 2016, Vol. 54, No. 3, pp. 251–267.
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Pankratov, V.A., Sazonov, V.V. Reconstruction of spacecraft rotational motion using a Kalman filter. Cosmic Res 54, 237–252 (2016). https://doi.org/10.1134/S0010952516030060
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DOI: https://doi.org/10.1134/S0010952516030060