Periodic solutions of Kirchhoff's equations for the free motion of a rigid body in a fluid and the extended theory of Lyusternik--Shnirel'man--Morse (LSM). I
Funkcionalʹnyj analiz i ego priloženiâ, Tome 15 (1981) no. 3, pp. 54-66.

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S. P. Novikov; I. Shmel'tser. Periodic solutions of Kirchhoff's equations for the free motion of a rigid body in a fluid and the extended theory of Lyusternik--Shnirel'man--Morse (LSM). I. Funkcionalʹnyj analiz i ego priloženiâ, Tome 15 (1981) no. 3, pp. 54-66. http://geodesic.mathdoc.fr/item/FAA_1981_15_3_a4/

[1] Miln-Tomson A.M., Teoreticheskaya gidrodinamika, Mir, M., 1964

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

[3] Kozlov V.V., Metody kachestvennogo analiza v dinamike tverdogo tela, Izd. MGU, M., 1980 | MR | Zbl

[4] Lyusternik L.A., Shnirelman L.G., “Topologicheskie metody v variatsionnykh zadachakh i ikh prilozhenie k differentsialnoi geometrii poverkhnostei”, UMN, II:1 (1947), 166–217 | MR

[5] Dubrovin B.A., Novikov S.P., Fomenko A.T., Sovremennaya geometriya, Nauka, M., 1979 | MR

[6] Weinstein A., “Lagrangian submanifolds and hamiltonian systems”, Ann. Math., 98:3 (1973), 377–410 | DOI | MR | Zbl

[7] Morse M., The calculus of variations in the large, New York, 1934 | MR

[8] Sternberg S., “Minimal coupling and symplectic mechanics of a classical particle in the presence of a Yang–Mills field”, Proc. Nat. Acad. Sci. USA, 74,:12 (1977), 5253–5256 | DOI | MR

[9] Novikov S.P., “Variatsionnye metody i periodicheskie resheniya uravnenii tipa Kirkhgofa. II”, Funkts. analiz, 15:4 (1981), 37–52 | MR | Zbl