A contribution to the theory of aircraft response in rolling manoeuvres including inertia cross-coupling effects

Abstract

The problem of calculating the response of an aircraft in rolling manoeuvres when the mass distribution of the aircraft is such that the inertia terms in the equations of motion effect a cross-coupling of the usual lateral and longitudinal motions is considered. Solutions are outlined to two formulations of this problem: (1) Response to a given applied aileron and (2) Response corresponding to a specified time history of fate of roll. Detailed calculations are made only for the first of these, and the results compare favourably with digital-computer solutions. Possible simplifications to the method of calculation are discussed.