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The descent of a heavy dynamically symmetrical finned body is studied. The body moves in a resisting medium. Half of the blades have one pitch angle, the rest of the blades are set to an angle of the same value, but of the opposite sign. It is shown that the body has isolated modes of stationary gliding. Stability of these modes is investigated.Show More
Descent of a finned body in resisting medium is studied. Two different kinds of blades are discussed: disk and rectangle. Trajectories of a center of mass of a body are analyzed. Two kinds of steady regimes are revealed depending on pitch angles of blades: descent with autorotation and descent with zero angular speed of the body. Dependence of speed of the center of mass on values of pitch angles ...Show More
The descent of a finned heavy body in the air is studied. The body has four identical blades. Two cases are compared: the case when all pitch angles are equal to each other and the case when one or two of the pitch angles differ from the others.Show More
The paper is dedicated to consideration of the influence of the blade angle change and displacement of the center of mass of the body upon the pattern of descent of bodies with different blade shapes, both “in small” and “in large”.Show More
A geometric approach is proposed to comparing stability domains of systems with different dimensions. This approach is convenient for establishing relations between stability properties of steady solutions in similar problems with different number of degrees of freedom. Stability domains are compared for systems described by linear complex differential equations of second and third order with cons...Show More