Constructing and analysis of singular surfaces of control moment gyro systems by a parameter continuation method

We describe the numerical technique for constructing boundaries and singular surfaces of a variation range of an angular momentum created by a system of single gimbal control moment gyros — gyrodines. We describe also a parameter continuation method, which is a main part of the technique. Basing on results by E.N. Tokar, we formalize the sufficient conditions, which indicate the type of singular surfaces. We apply the technique for investigation of two various configurations of a system consisting of six gyrodines. We construct their variation ranges and evaluate their operation capability in the case of failure of a gyrodine.