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half of the plate cross section, remains finite. Thus Q e ' has a built-in factor a/h from normalization. Since the righthand side of (A5) and Q e ' (~3aQ/2hF) approach infinity in the same order of a/h, the actual shear Q e remains finite. This paper derives four constants of the motion for optimal thrust trajectories in a central force field. Two additional constants of the motion are derived which hold for singular thrusting arcs as well as impulsive thrusts. The paper applies the constants of the motion for the impulsive thrust case to obtain a set of initial conditions for the classical adjoint variables to be used as a good approximation for a solution of the finite thrust arc by the indirect method.

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