Aerospace Instrument-Making Annotation << Back ON CHOOSING A SINGLE SOLUTION WHEN EXPERIMENTALLY DETERMINING THE DEPENDENCE OF THERMAL CONDUCTIVITY ON TEMPERATURE FROM THE SOLUTION OF THE INVERSE PROBLEM OF HEAT TRANSFER N.O. Borshchev In this paper, two solutions to the coefficient inverse problem of heat conduction are found and analyzed to find the heat conduction coefficient as a function of temperature, and a method for choosing a single solution is proposed. The analysis of the boundary value problem under consideration shows the possibility of the existence of a branching region of the numerical solution. In this case, to choose a unique solution, it suffices to use an additional condition. The paper proposes a method for determining the unique solution in this and similar cases. Keywords: inverse heat conduction problem, mean square error, temperature field, spacecraft. DOI: 10.25791/aviakosmos.2.2023.1325 Pp. 47-52.