Motion of four-dimensional rigid body around a fixed point: an elementary approach. I

Physics – Mathematical Physics

Scientific paper

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LaTeX, 9 pages

Scientific paper

10.1088/0305-4470/38/47/L03

The goal of this note is to give the explicit solution of Euler-Frahm
equations for the Manakov four-dimensional case by elementary means. For this,
we use some results from the original papers by Schottky [Sch 1891], Koetter
[Koe 1892], Weber [We 1878], and Caspary [Ca 1893]. We hope that such approach
will be useful for the solution of the problem of $n$-dimensional top.

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