The words contained in this file might help you see if this file matches what you are looking for:
...Lecture aircraft dynamics nonlinear eom linearization forces moments stability derivatives and coecients fall note can develop good approximation of key motion phugoid using simple balance between kinetic potential energies consider an in steady level ight with speed u height h the is perturbed slightly so that assume e mu mgh constant before after g perturbation it then follows from newton s laws we know vertical direction mh l w where weight mg lift sclu wing area derive equations scl uu sc since for original equilibrium condition get m combine these result to obtain describe oscillation called oscilla tion altitude about nominal value only approximate natural frequency lanchester but close basic are i f mv t c b bi vc transport thm assumptions earth inertial reference frame a rigid body xed j k instantaneous mapping into pi qj rk ui v wk p q r by symmetry show xy yz xz depends on specic selected angular momentum hxi hyj hzk given x xx hb hy iyy z zz overall y qw rv ru qu yy n qr qi ...