Correctness of restoration of mass parameters of rocket engine of solid fuel

The article considers inverse problem of diagnosing the parameters of a rocket engine solid fuel according to known values of the frequencies of small free oscillations. The correctness is shown according to A.N. Tikhonov's inverse problem of restoring mass parameters of the spring-mass model of a solid propellant rocket. The corresponding theorem is formulated and proved. An algorithm for solving the problem is found. It confirms the uniqueness of the parameters reconstruction from the known values of the four frequencies of the rocket engine oscillations. The decision algorithm is confirmed by a concrete example.