The objective of the proposed work is to develop a rigorous mathematical formulation and a corresponding computer code capable of simulating the flight of flexible aircraft. To this end, it is proposed to integrate seamlessly pertinent material from analytical dynamics, structural dynamics, aerodynamics and controls into a single unified formulation. This amounts to developing an accurate model of a flexible aircraft undergoing both rigid and elastic motions, as well as to developing methods for accurate computing of all forces acting on the aircraft. The model and associated computer code are intended for use in support of ground testing and flight testing, thus reducing significantly the necessary time and costs of both.