Abstract
An integral statistical procedure of determination of the attitude motion of a satellite using the data of onboard measurements of angular velocity vectors and the strength of the Earth’s magnetic field (EMF) is suggested. The procedure uses only the equations of kinematics of a solid body and is applicable to determining both controlled and uncontrollable motions of a satellite at any external mechanical moments acting upon it. When applying this procedure, the data of measurements of both types, accumulated during a certain interval of time, are processed jointly. The data of measuring the angular velocity are smoothed by discrete Fourier series, and these series are substituted into kinematical Poisson equations for elements of the matrix of transition from a satellite-fixed coordinate system to the orbital coordinate system. The equations thus obtained represent a kinematical model of the satellite motion. The solution to these equations (which approximate the actual motion of a satellite) is found from the condition of the best (in the sense of the least squares method) fit of the data of measuring the EMF strength vector to its calculated values. The results of testing the suggested procedure using the data of measurements of the angular velocity vectors onboard the Foton-12 satellite and measurements of EMF strengths are presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Sazonov, V.V., Chebukov, S.Yu., Abrashkin, V.I., et al., Analysis of Low-Frequency Microaccelerations onboard the Foton-11 Satellite, Kosm. Issled., 2001, vol. 39, no.4, pp. 419–435.
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, Kosm. Issled., vol. 41, no.1, pp. 45–56.
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 Foton-12 Satellite, Kosm. Issled., vol. 41, no.6, pp. 632–651.
Sazonov, V.V., Chebukov, S.Yu., Abrashkin, V.I., et al., Low-Frequency Microaccelerations onboard the Foton-11 Satellite, Kosm. Issled., vol. 42, no.2, pp. 185–200.
Pivovarov, M.L., Determination of Satellite Orientation Using Measurements of Angular Velocities, Kosm. Issled., 1985, vol. 23, no.3, pp. 331–334.
Sazonov, V.V., Komarov, M.M., Polezhaev, V.I., et al., Microaccelerations onboard the Mir Orbital Station and Prompt Analysis of Gravitational Sensitivity of Convective Processes of Heat and Mass Transfer, Kosm. Issled., 1999, vol. 37, no.1, pp. 86–101.
Sarychev, V.A., Belyaev, M.Yu., Kuz’min, S.P., et al., Determination of Attitude Motion of the Salyut-6 and Salyut-7 Orbital Stations in a Slow Spin-Up Mode Using the Data of Measurements, Kosm. Issled., 1988, vol. 26, no.3, pp. 390–405.
Abrashkin, V.I., Volkov, M.V., Voronov, K.E., et al., Determination of Attitude Motion of a Satellite Using the Data of Measurements of Its Angular Velocity, the Data on Geomagnetic Field Intensity, and a Kinematical Model of Motion, Preprint of Keldysh Inst. of Applied Math., Russ. Acad. Sci., Moscow, 2003, no. 8.
Author information
Authors and Affiliations
Additional information
__________
Translated from Kosmicheskie Issledovaniya, Vol. 43, No. 4, 2005, pp. 295–305.
Original Russian Text Copyright © 2005 by Abrashkin, Volkov, Voronov, Egorov, Kazakova, Pankratov, Sazonov, Semkin.
Rights and permissions
About this article
Cite this article
Abrashkin, V.I., Volkov, M.V., Voronov, K.E. et al. Determination of the Attitude Motion of a Satellite Based on a Kinematical Model of Motion and Using Data of Measurements of Its Angular Velocity and the Earth’s Magnetic Field Strength. Cosmic Res 43, 280–290 (2005). https://doi.org/10.1007/s10604-005-0046-0
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10604-005-0046-0