The article is devoted to the development of numerical methods for determining the position of the center of gravity and the static stability margin of an aircraft in flight. To perform the calculations, a number of mathematical models were developed. Based on the analysis of the motion of an aircraft as a rigid body, numerical methods for determining the position of the center of gravity are synthesized and their errors are calculated. Comparison of the errors of various methods made it possible to conclude that it is expedient to use a method based on the use of information on the fuel reserve.

Keywords: simulation of the position of the center of gravity, numerical analysis of the position of the center of gravity, moments of inertia of the aircraft, free oscillations, fuel consumption.