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Application of Rodeigues-Hamilton and Cayley-Klein parameters to the problem of the motion of a heavy rigid body around a fixed point

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Literature cited

  1. V. N. Koshlyakov, “The equations of motion of a heavy rigid body around a fixed point,” Ukrainsk. Matem. Zh.,25, No. 5 (1973).

  2. W. D. MacMillan, Dynamics of Rigid Bodies [Russian translation], IL, Moscow (1951).

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  3. R. Grammel, The Gyroscope, Its Theory and Applications [Russian translation], Vol. 1, IL, Moscow (1952).

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  4. A. I. Lur'e, Analytical Mechanics [in Russian], Fizmatgiz, Moscow (1961).

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  5. V. V. Rumyantsev, “Stability of motion in S. V. Kowalewski's case,” PMM, No. 4 (1954).

  6. V. V. Golubev, Lectures on Integration of the Equations of Motion of a Rigid Body About a Fixed Point [in Russian], Gostekhizdat, Moscow (1953).

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Authors and Affiliations

  1. Mathematics Institute of the Academy of Sciences of the Ukrainian SSR, Ukraine

    V. N. Koshlyakov

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  1. V. N. Koshlyakov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 2, pp. 179–187, March–April, 1974.

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Koshlyakov, V.N. Application of Rodeigues-Hamilton and Cayley-Klein parameters to the problem of the motion of a heavy rigid body around a fixed point. Ukr Math J 26, 146–153 (1974). https://doi.org/10.1007/BF01085713

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  • DOI: https://doi.org/10.1007/BF01085713

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