Geodesic
About motion of symmetric gyrostat with a variable gyrostatic moment in two tasks of dynamics
Russian journal of nonlinear dynamics, Tome 8 (2012) no. 2, pp. 369-376.

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The motion of symmetric gyrostat with a variable gyrostatic moment in two tasks of dynamics: in a task about motion of gyrostat under the action of potential and gyroscopic forces and in a task about motion of gyrostat in the magnetic field taking into account the effect of Barnett–London is considered. The decisions of equalizations which contain six arbitrary permanent are indicated.
Keywords: symmetric gyrostat, equalizations of Kirchhoff–Poisson, effect of Barnett–London. 
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G. V. Gorr; A. V. Maznev. About motion of symmetric gyrostat with a variable gyrostatic moment in two tasks of dynamics. Russian journal of nonlinear dynamics, Tome 8 (2012) no. 2, pp. 369-376. http://geodesic.mathdoc.fr/item/ND_2012_8_2_a10/

[1] Suslov G. K., Teoreticheskaya mekhanika, Gostekhizdat, M., 1946, 655 pp.

[2] Kirchhoff G. R., “Über die Bewegung eines Rotationkörpers in einer Flüssigkeit”, J. Reine Angew. Math., 71 (1870), 237–262 | DOI | Zbl

[3] Kharlamov P. V., “O dvizhenii v zhidkosti tela, imeyuschego nepodvizhnuyu tochku”, Prikladnaya mekhanika i tekhnicheskaya fizika, 1963, no. 4, 17–29

[4] Samsonov V. A., “O vraschenii tverdogo tela v magnitnom pole”, MTT, 1984, no. 4, 39–47

[5] Liouville J., “Développements sur un chapitre de la Mècanique de Poisson”, J. de Mathématiques pures et appliquées, 3 (1858), 1–25

[6] Volterra V., “Sur la théorie des variations des latitudes”, Acta Math., 22 (1899), 201–358 | DOI | MR

[7] Zhukovskii N. E., “O dvizhenii tverdogo tela, imeyuschego polosti, napolnennye odnorodnoi kapelnoi zhidkostyu”, Zhurn. rus. fiz.-khim. obsch-va, 17, otd. 1:6 (1885), 81–113 ; Жуковский Н. Е., Избранные сочинения, т. 1, Гостехиздат, М.–Л., 1948, 31–152 | MR

[8] Kharlamov P. V., “Ob uravneniyakh dvizheniya sistemy tverdykh tel”, MTT, 1972, no. 4, 52–73

[9] Volkova O. S., “O stabilizatsii ravnomernykh vraschenii vokrug naklonnoi osi tverdogo tela, nesuschego makhoviki”, Tr. IPMM NANU, 14 (2007), 41–51 | MR | Zbl

[10] Volkova O. S., “Ravnomernye vrascheniya vokrug naklonnoi osi tverdogo tela, nesuschego makhovik”, MTT, 2008, no. 38, 80–86 | MR

[11] Volkova O. S., “Regulyarnye pretsessii tyazhelogo girostata vokrug vertikalnoi osi”, Tr. IPMM NANU, 19 (2009), 30–35

[12] Volkova O. S., Gashenenko I. N., “Mayatnikovye vrascheniya tyazhelogo girostata s peremennym girostaticheskim momentom”, MTT, 2009, no. 39, 42–49 | MR

[13] Gorr G. V., Maznev A. V., “O nekotorykh klassakh regulyarnoi pretsessii girostata s peremennym girostaticheskim momentom otnositelno naklonnoi osi v obobschennoi zadache dinamiki”, Tr. IPMM NANU, 21 (2010), 64–75 | Zbl

[14] Maznev A. V., “Pretsessionnye dvizheniya girostata s peremennym girostaticheskim momentom pod deistviem potentsialnykh i giroskopicheskikh sil”, MTT, 2010, no. 40, 91–102 | MR

[15] Yehia H. M., “On the motion of a rigid body acted upon potential and gyroscopic forces: 1. The equations of motion and their transformations”, J. Mech. Theor. Appl., 5:5 (1986), 742–745 | MR

[16] Gorr G. V., Kudryashova L. V., Stepanova L. A., Klassicheskie zadachi dinamiki tverdogo tela, Naukova dumka, Kiev, 1978, 294 pp. | MR

[17] Kozlov V. V., “K zadache o vraschenii tverdogo tela v magnitnom pole”, MTT, 1985, no. 6, 28–33 | Zbl

[18] Urman Yu. M., “Dinamicheskie effekty, obuslovlennye vraschatelnym dvizheniem sverkhprovodnika v magnitnom podvese”, Dokl. AN SSSR, 276:6 (1984), 1402–1404