... motion of the disk we shall note pap ers O. M. O'Reily [27], R. Cushman, J. Hermans, D. Kemppainen [7], and Mathematics Sub ... M.: Nauka. 1967. P. 591. [27] O. M. O'Reil ly. The dynamics of rolling disks and sliding disks. Nonlinear Dynamics. V. 10. ...
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... choreographies must satisfy the relation different from (25), (k ) 2m (E ) = (0) 2 k (E ) + m 0 (E ), where m is o dd, k Z; T (E ) (27) here k and m are coprimes, and 0 (E ) = 2 , where T is the p erio d of Goryachev's solution to the reduced system (10 ...
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... It should b e noted that the fact that W is a homogeneous function of degree m does not seem to entail the homogeneity of the p otential energy (27) b ecause the expression for V contains the density, which also dep ends on particle coordinates. ...
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... M in an infinite vol ume of an ideal incompressible fluid; inside the body, a point ... sin u= · a1 = M + 1 + m , m b= = , m · · , · M + 2 + m , m 2 y .. (, ) m O1 (2) O ...