A technique is developed to recover the loads acting in model testing in short-duration wind tunnels. The model together with the load-measuring device is assumed to be a linear dynamic system. Normal responses of the system to unit loads are determined experimentally. The solution of a system of integral Volterra equations of the first kind is found in the class of piecewise-constant functions. Examples are given on solving a test problem with a known exact solution and a problem of determining the aerodynamic characteristics of the HB-2 reference model on the basis of loads obtained in wind-tunnel measurements.Introduction. The following methods are used for processing the measured results if a strain-gauge balance is applied to measure time-dependent forces and moments acting on the model being tested in short-duration wind tunnels: 1) averaging technique; 2) analytical method; 3) statistical method; 4) simplified statistical method [1]. The averaging technique requires a fairly long time of wind-tunnel operation, so that oscillations caused by initial shock loads could decay, and a large time interval with unchanged flow parameters. Even if these conditions are satisfied, however, there are some uncontrollable systematic errors. Three other methods involve the principle of inertia compensation. For this purpose, accelerations are measured at certain points by accelerometers. The methods are based on the following assumptions: the model is a rigid body; the oscillating system consists of the model and a certain part of the balance to be determined; the products of the velocities of revolution of the system around its axes are rather small and can be neglected, as compared with angular accelerations.In the analytical method, the main difficulty is to establish the portion of the system participating in motion and subsequently determine the mass, center of mass, and matrix of the moments of inertia. The accuracy or reconstructing the acting aerodynamic loads also depends on the coordinates of points where the accelerometers are mounted.The statistical method is based on linearization of relations between the inertia forces and accelerations measured by accelerometers with the use of the following additional assumption: the aerodynamic coefficients are constant over a chosen time interval determining the operation regime of the wind tunnel. The number of equations (6) is smaller than the number of unknowns (42). As the system of equations is valid at an arbitrary time during the run, however, it is solved on a certain interval by the least squares technique.The simplified statistical method implies a linear dependence between the acceleration and the corresponding force, which reduces the number of unknowns. Three accelerometers are used, one in each direction. The measurement axes coincide with the directions of the body-fitted coordinate system. The unknown coefficients of proportionality depend on the geometric and mass characteristics of the model, which have to be determined in each test for the model mounte...