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

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.