Geodesic
On one way of integrating the equations of a finned body projectile motion in resistive medium
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 41 (2013) no. 1, pp. 96-108

Voir la notice de l'article provenant de la source Math-Net.Ru

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, angle of attack, stabilization
Mots-clés : non-transcendent variables, auto oscillations. 
@article{IIMI_2013_41_1_a3,
     author = {V. V. Chistyakov},
     title = {On one way of integrating the equations of a finned body projectile motion in resistive medium},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {96--108},
     publisher = {mathdoc},
     volume = {41},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2013_41_1_a3/}
}
TY  - JOUR
AU  - V. V. Chistyakov
TI  - On one way of integrating the equations of a finned body projectile motion in resistive medium
JO  - Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
PY  - 2013
SP  - 96
EP  - 108
VL  - 41
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IIMI_2013_41_1_a3/
LA  - ru
ID  - IIMI_2013_41_1_a3
ER  - 
%0 Journal Article
%A V. V. Chistyakov
%T On one way of integrating the equations of a finned body projectile motion in resistive medium
%J Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
%D 2013
%P 96-108
%V 41
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IIMI_2013_41_1_a3/
%G ru
%F IIMI_2013_41_1_a3
V. V. Chistyakov. On one way of integrating the equations of a finned body projectile motion in resistive medium. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 41 (2013) no. 1, pp. 96-108. http://geodesic.mathdoc.fr/item/IIMI_2013_41_1_a3/