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On algebraic integrals in the problem of motion of a heavy gyrostat fixed at one point. (English. Russian original) Zbl 0136.21902

PMM, J. Appl. Math. Mech. 28, 633-639 (1964); translation from Prikl. Mat. Mekh. 28, 516-520 (1964).

Keywords:

mechanics
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References:

[1] Volterra, V., Sur la théorie des variations des latitudes, Acta Mathematica, Vol.22, 201-341 (1898-1899) · JFM 29.0650.01
[2] Keis, I. A., O sushchestvovanii nekotorykh integralov uravnenii dvizheniia girostata, Vestn.MGU, N≗ 6, 55-62 (1963)
[3] Poincaré, H., Les méthodes nouvelles de la méchanique céleste, Vol.1 (1892)
[4] Husson, E. D., Recherche des intégrales algébriques dans le mouvement d’un solide pesant autour d’un point fixe, Ann.d.I.faculté des sciences de l’univ.de Toulouse, 2 série, Vol.VIII, 119-152 (1906) · JFM 37.0746.01
[5] Arkhangel’skii, Iu. A., Ob odnoi teoreme Poincaré otnosiashcheisia k zadache o dvizhenii tverdogo tela v n’iutonovskom pole sil, PMM, Vol.26, N≗ 6 (1962)
[6] Arkhangel’skii, Iu. A., Ob algebraicheskikh integralakh v zadache o dvizhenii tverdogo tela v n’iutonovskom pole sil, PMM, Vol.27, N≗ 1 (1963)
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