The monograph sets out the mathematical foundations of some possible options for inertial flight control of ballistic missiles, that is, control without using any external information (radio signals, star radiation, etc.). It is assumed that the specified flight range of the missile is provided as a result of timely shutdown of its engine by the signal coming from the counter-solver. Current readings of sensitive elements of inertial control system measuring apparent acceleration of missile or integrals from apparent acceleration in time are supplied to input of the latter.