Parametric Identification of the Thermal Conductivity Coefficient of Mirror Materials Operating in the Orbital Flight Section

Abstract

This paper presents a method for determining the thermal conductivity coefficient on mirror materials of spacecraft operating in the orbital flight section. This problem is solved as a problem of searching for the global extremum of the parametrized coefficient of thermal conductivity in the course of minimizing the root-mean-square functional of the discrepancy between the theoretical and experimental temperature fields in the places where temperature sensors are installed. Inverse problems are considered incorrect due to "noisy" input data. To overcome this, it is necessary to apply regularization. This study employs the iterative regularization method, with the iteration number serving as the regularized parameter. The method of conjugate gradients is chosen as the optimization algorithm, because it is the most accurate method of the first order of convergence.