Periodic Approximation of the Rotational Motion of the Photon-12 Satellite
-
Published:2022-04
Issue:2
Volume:60
Page:107-123
-
ISSN:0010-9525
-
Container-title:Cosmic Research
-
language:en
-
Short-container-title:Cosmic Res
Author:
Bulanov D. M.,Sazonov V. V.
Abstract
Abstract
The results of repeated processing of magnetic measurements carried out on the Photon-12 satellite (which was in orbit from September 9 to 24, 1999) are described. The processing was performed in order to reconstruct the uncontrolled rotational motion of this satellite. In re-processing, the simplified mathematical model of rotational motion was used. The actual orbit of a satellite (the apogee height is 380 km, the perigee height is 220 km) is replaced by a circular orbit; the expression for the aerodynamic moment acting on a satellite is simplified. The system of differential equations underlying the new model is autonomous and proved to be sufficiently accurate to reconstruct the satellite motion based on magnetic measurements in the case in which the satellite angular velocity was not very low and grew gradually. In the last third of the flight, when the satellite motion became virtually stable and had a sufficiently high angular velocity, this system could be reduced to a generalized-conservative system. Such a reduction makes more definite the set of its solutions suitable for approximate description of the actual motion of a satellite. In some segments of motion, the combining of which covers about 3 days, it was possible to use, for this purpose, the periodic solutions continued from the Lyapunov periodic solutions.
Publisher
Pleiades Publishing Ltd
Subject
Space and Planetary Science,Astronomy and Astrophysics,Aerospace Engineering
Reference7 articles.
1. Bulanov, D.M. and Sazonov, V.V., Investigation of the evolution of the attitude motion of the Foton-12 satellite, Preprint of Keldysh Inst. of Applied Mathematics, Russ. Acad. Sci., Moscow, 2020, no. 53. https://keldysh.ru/papers/2020/prep2020_53.pdf 2. Neishtadt, I.A. and Sazonov, V.V., Periodic oscillations of the satellite symmetry axis under the action of gravitational and aerodynamic torques, Izv. Akad. Nauk. Mekh. Tverd. Tela, 2003, no. 4, pp. 20–35. 3. Abrashkin, V.I., Balakin, V.L., Belokonov, I.V., Voronov, K.E., Zaitsev, A.S., Ivanov, V.V., Kazakova, A.E., Sazonov, V.V., and Semkin, N.D., Uncontrolled attitude motion of the Foton-12 satellite and quasi-steady microaccelerations onboard it, Cosmic Res., 2003, vol. 41, no. 1, pp. 39–50. 4. Bulanov, D.M. and Sazonov, V.V., A study of the evolution of the rotational motion of the Foton M-2 satellite, Cosmic Res., 2020, vol. 58, no. 4, pp. 256–269. 5. Bulanov, D.M. and Sazonov, V.V., Periodic approximation of the rotational motion of the Foton-12 satellite, Preprint of Keldysh Inst. of Applied Mathematics, Russ. Acad. Sci., Moscow, 2020, no. 90. https://keldysh.ru/ papers/2020/prep2020_90.pdf
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
|
|