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A COMPUTATIONAL PROCEDURE FOR OPTIMIZING INTERPLANETARY TRAJECTORIES
RAND CORP SANTA MONICA CALIF
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An analysis that describes a computational procedure for optimizing dynamical system trajectories by a method of successive approximations is presented. The procedure may be applied to a large class of control problems which are described by nonlinear differential equations. The performance criterion minimized by the process is the weighted sum of the squares of the terminal errors in the system state variables, subject to certain constraints on the control variables. The method is applied to the optimization of a low-thrust trajectory from earth to Mars. Author
APPROVED FOR PUBLIC RELEASE