Geodesic
Simulation of the spatial action of a~medium on a~body of conical form
Sibirskij žurnal industrialʹnoj matematiki, Tome 21 (2018) no. 2, pp. 122-130

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We consider a mathematical model of the spatial action of a medium on the axisymmetric rigid body whose external surface has a part that is a circular cone. We present a complete system of equations of motion under the quasistationary conditions. The dynamical part forms an independent system of the sixth order in which the independent subsystems of lower order are distinguished. We study the problem of stability with respect to the part of variables of the key regim – the spatial rectilinear translational deceleration of the body. For a particular class of bodies, we show the inertial mass characteristics under which the key regime is stable. For a plane analog of the problem, we obtain a family of phase portraits in the space of quasivelocities.
Keywords: rigid body, resisting medium, stability
Mots-clés : spatial motion, phase portrait. 
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     author = {M. V. Shamolin},
     title = {Simulation of the spatial action of a~medium on a~body of conical form},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {122--130},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2018_21_2_a10/}
}
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M. V. Shamolin. Simulation of the spatial action of a~medium on a~body of conical form. Sibirskij žurnal industrialʹnoj matematiki, Tome 21 (2018) no. 2, pp. 122-130. http://geodesic.mathdoc.fr/item/SJIM_2018_21_2_a10/