Stability of the horizontal flight mode in the Zhukovsky problem with constant thrust
Abstract
Stability of the horizontal flight mode in the Zhukovsky problem with constant thrust
Incoming article date: 18.04.2025The paper considers the plane motion of a heavy material point in a quasi-static medium under the influence of gravity, aerodynamic forces and thrust forces. This problem can be considered as a continuation of Zhukovsky's problem of modeling the longitudinal flight of an aircraft, assuming that the angle of attack is constant, taking into account the effect of thrust. The equations of motion in different coordinate systems are obtained. Stationary flight modes have been found. The stability of the most basic modes is investigated. A numerical solution of the equations of motion is found and the behavior of trajectories in various flight modes is investigated.
Keywords: thrust force, material point, Zhukovsky's problem