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Generalized Euler equations in quaternions

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Ukrainian Mathematical Journal Aims and scope

Abstract

The quaternion analog of the Euler dynamic equations obtained in [1–3] is generalized to the case of an arbitrary trihedron connected with a body.

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References

  1. V.N. Koshlyakov, “Equations of motion of a heavy solid body about a fixed point,”Ukr. Mat. Zh.,25, No. 5, 677–691 (1973).

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  3. V. N. Koshlyakov,Problems in the Dynamics of Solid Body and Applied Gyroscope Theory [in Russian], Nauka, Moscow (1985).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    V. N. Koshlyakov (Academician)

Authors
  1. V. N. Koshlyakov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 10, pp. 1414–1416, October, 1994.

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Koshlyakov, V.N. Generalized Euler equations in quaternions. Ukr Math J 46, 1561–1564 (1994). https://doi.org/10.1007/BF01066102

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  • DOI: https://doi.org/10.1007/BF01066102

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