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Izv. IMI UdGU, 2013, Issue 1(41), Pages 96–108 (Mi iimi250)  

On one way of integrating the equations of a finned body projectile motion in resistive medium

V. V. Chistyakov

Yaroslavl State Academy of Agriculture, Tutaevskoe sh., 58, Yaroslavl, 150042, Russia

Abstract: An alternative way is suggested for integrating in projective variables the equations of free resistive planar motion of a symmetrical body affected by drag and lift forces along with static and damping momenta all above being quadratic in speed. This method diminishes the dimensionality of dynamical ODE system on one unit and may eliminate transcendent variables. There were obtained at different parameters various solutions responding to aperiodic self-oscillations of the attack angle value, as well as its quasi-stabilization at some positive level.

Keywords: projectile planar motion, lift power, quadratic drag force, static/damping momenta, non-transcendent variables, angle of attack, stabilization, auto oscillations.

Full text: PDF file (522 kB)
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UDC: 531.55
MSC: 34B15, 34C15, 70E15, 70K75
Received: 01.02.2013

Citation: V. V. Chistyakov, “On one way of integrating the equations of a finned body projectile motion in resistive medium”, Izv. IMI UdGU, 2013, no. 1(41), 96–108

Citation in format AMSBIB
\Bibitem{Chi13}
\by V.~V.~Chistyakov
\paper On one way of integrating the equations of a finned body projectile motion in resistive medium
\jour Izv. IMI UdGU
\yr 2013
\issue 1(41)
\pages 96--108
\mathnet{http://mi.mathnet.ru/iimi250}


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