On the existence of equilibriums in a longitudinal flight with constant forward velocity and high angle of attack

Abstract

This paper investigates the existence of the equilibriums, their stability and possible bifurcations in a longitudinal flight with constant forward velocity and high angle of attack. The theoretical framework is the general mathematical model describing the movements of a rigid aircraft around its center of mass [1]. Necessary or sufficient conditions concerning the existence of equilibriums, their stability and possible bifurcations are given. The analysis follows and extends the results reported in the paper [2]. Numerical illustrations are given.