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The Optimisation of Spacecraft Orbital Manoeuvres
A Comparison of the Minimum Principle and Differential
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active constraint adjoint equations adjoint multipliers algorithm applied approach approximation Armacost assumed augmented Lagrangian calculated computed consider constrained optimization control variables convergence convex convex functions defined derivatives determined diagonal direction dual Dynamic Linear Programming dynamic optimisation dynamic programming efficient estimate Fiacco formula function evaluations given global gradient Hatfield Polytechnic Hessian matrix inequality constraints Initial guessed solution integration step iterations L.C.W. Dixon Lagrange multipliers line search Linear Programming mathematical programming minimisation minimization minimum multiplier method multiplier update nonlinear programming nonlinear programming problems Numerical Optimisation objective function obtained OPRQP optimal control optimal value function optimisation variables optimization problem optimum paper parameter penalty function Problem 1P quadratic programming quasi-Newton method REQP REVAR RGLS satisfied secant method second order sequence slack variable solving structure Tapia techniques test problems Theorem Thrust arc tion unconstrained vector yaw angles zero