This paper treats with the calculation procedure of reference trajectory to be applied to emergency guidance and control law for future reusable space transportation systems, such as spaceplane. The reusable transportation system is required to return...
This paper treats with the calculation procedure of reference trajectory to be applied to emergency guidance and control law for future reusable space transportation systems, such as spaceplane. The reusable transportation system is required to return to the landing area safely even if unexpected malfunction causes and the mission is aborted. Low computational load is necessary lor the emergency guidance law because reference trajectory must be calculated through an onboard computer within a short time. And also the reference trajectory is required to be followed by a spaceplane with low performance in maneuver. Thus it is desired that the reference trajectory is provided as a solution of minimum curvature problem, which is an optimal control problem. This paper proposes the calculation procedure of optimal control problem without iterative calculation. Homotopy method is applied to solve optimal control problems. Numerical results show that calculation of define integral provides three dimensional optimal trajectory.