## Guidance, Flight Mechanics and Trajectory Optimization, Volumes 1007-1012National Aeronautics and Space Administration, 1968 - Space trajectories |

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### Contents

This report was prepared under contract NAS 8IIU95 and is one of a series intended to illustrate analytical methods used in the fields of Guidance lig... | iii |

Dynamic Programming | 203 |

SECTION PAGE | 1 |

3 other sections not shown

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### Common terms and phrases

acceleration analysis application approximation argument of latitude argument of perigee assumed assumption Bayes strategy Bellman equation boundary condition Calculus of Variations coefficients computation considered constant control problem control vector correction cost covariance decision decision theory defined denote derived determined deterministic developed discussed disturbing body Dynamic Programming earth eccentric anomaly eccentricity effect errors Euler-Lagrange equation evaluated expected value expression final orbit follows formulation Gaussian Guidance Equations guidance problem impulse initial integral iteration loss function maneuver matrix method minimizing optimal value optimization problem optimum control optimum solution orbital plane osculating elements parameters partial differential equation perfectly observable performance index perigee perturbations Principle of Optimality procedure quadratic Reference rendezvous rendezvous problem required velocity respect satellite satisfy secular space flight specified steering stochastic substituting target techniques terminal constraint theory thrust trajectory true anomaly unified approach vehicle yields zero