Simulation of the action of a medium on a conical body and the family of phase portraits in the space of quasivelocities

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Abstract

A mathematical model of the effect of a medium on a homogeneous rigid body whose outer surface includes a circumferential cone is considered. The complete system of equations of motion under quasistationarity conditions is given. In the dynamic part forming an independent third-order system, an independent second-order subsystem is distinguished. A new two-parameter family of phase portraits on the phase cylinder of quasivelocities is obtained.

Keywords

rigid body resisting medium quasistationarity phase portrait 

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© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  1. 1.Peoples Friendship University of RussiaMoscowRussia
  2. 2.Institute of Mechanics of the Lomonosov Moscow State University, Moscow State UniversityMoscowRussia

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