... For the case of the circular trajectory, two families of exact solutions are obtained. ... These exact solutions allow us to obtain approximate solutions for the case of an elliptic trajectory of the waist. ... We also check the condition of keeping contact with the waist during twirling. ... Main relations We assume that the center O of a gymnast's waist moves in time according to the elliptic law x = a sin t, y = b cos t with the amplitudes a, b and the excitation frequency > 0, Fig. ...

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The Department of Talented Youth Affairs and Professional Orientation . ... Posted on 25.01.2016 by editor . ... The tournament?s basic discipline is biology, working language ? ... Teams from Russia and CIS countries can take part in the Student Biological tournament. ... 2016 - The Department of Talented Youth Affairs and Professional Orientation ...

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... Here is a brief outline of the current theory of the events in the early history of the solar system: . A cloud of interstellar gas and/or dust (the "solar nebula") is disturbed and collapses under its own gravity. ... The gas cools off enough for the metal, rock and (far enough from the forming star) ice to condense out into tiny particles. (i.e. some of the gas turns back into dust). ... Once the larger of these particles get big enough to have a nontrivial gravity, their growth accelerates. ...

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