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

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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 
@article{VUU_2009_2_a8,
     author = {A. A. Tikhonov},
     title = {The integrable case in the gyrostat attitude motion in the gravitational and magnetic {Earth's} fields},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {89--96},
     publisher = {mathdoc},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2009_2_a8/}
}
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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/