Geodesic
The integrable case in the gyrostat attitude motion in the gravitational and magnetic Earth's fields
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2009), pp. 89-96 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper deal with a rigid body bearing a gyro, possessing an eigen magnetic moment and equipped with charged shield. Its orbit is near-Earth circle Keplerian orbit in geomagnetic equator plane. The attitude motion of the gyrostat is investigated. It is shown that four first integrals can be constructed under some conditions and therefore the solution of the problem may be reduced to the quadratures. The geometric interpretation of the gyrostat's attitude motion is given.
Keywords: gyrostat, integrable case.
Mots-clés : attitude motion 
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     title = {The integrable case in the gyrostat attitude motion in the gravitational and magnetic {Earth's} fields},
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A. A. Tikhonov. The integrable case in the gyrostat attitude motion in the gravitational and magnetic Earth's fields. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2009), pp. 89-96. http://geodesic.mathdoc.fr/item/VUU_2009_2_a8/

[1] Beletskii V. V., Khentov A. A., Vraschatelnoe dvizhenie namagnichennogo sputnika, Nauka, M., 1985, 288 pp.

[2] Tikhonov A. A., “O vliyanii asimmetrii zaryada na vraschatelnoe dvizhenie ekranirovannogo tela v geomagnitnom pole”, Vestn. C.-Peterburg. un-ta. Ser. 1, 1987, no. 4(22), 64–69

[3] Tikhonov A. A., “Vychislenie glavnogo momenta lorentsevykh sil, deistvuyuschikh na zaryazhennoe telo v dipolnom magnitnom pole”, Vestn. C.-Peterburg. un-ta. Ser. 1, 1994, no. 1(1), 81–86

[4] Trukhanov K. A., Ryabova T. Ya., Morozov D. Kh., Aktivnaya zaschita kosmicheskikh korablei, Atomizdat, M., 1970, 229 pp.

[5] Leimanis E., The general problem of the motion of coupled rigid bodies about a fixed point, Springer Tracts in Natural Philosophy, 7, Springer, 1965 | DOI

[6] Magnus K., Giroskop. Teoriya i primenenie, Mir, M., 1974