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guidance, flight mechanics and trajectory optimization

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c<br />

FOREWORD<br />

This report was prepared under contract NAS 8-11495 <strong>and</strong> is one of a series<br />

intended to illustrate analytical methods used in the fields of Guidance,<br />

Flight Mechanics, <strong>and</strong> Trajectory Optimization. Derivations, mechanizations<br />

<strong>and</strong> recommended procedures are given. Below is a complete list of the reports<br />

in the series.<br />

Volume I<br />

Volume II<br />

Volume III<br />

Volume IV<br />

Volume V<br />

Volume VI<br />

Volume VII<br />

Volume VIII<br />

Volume IX<br />

Volume X<br />

Volume XI<br />

Volume XII<br />

Volume XIII<br />

Volume XIV<br />

Volume XV<br />

Volume XVI<br />

Volume XVII<br />

Coordinate Systems <strong>and</strong> Time Measure<br />

Observation Theory <strong>and</strong> Sensors<br />

The Two Body Problem<br />

The Calculus of Variations <strong>and</strong> Modern<br />

Applications<br />

State Determination <strong>and</strong>/or Estimation<br />

The N-Body Problem <strong>and</strong> Special Perturbation<br />

Techniques<br />

The Pontryagin Maximum Principle<br />

Boost Guidance Equations<br />

General Perturbations Theory<br />

Dynamic Prograrmning<br />

Guidance Equations for Orbital Operations<br />

Relative Motion, Guidance Equations for<br />

Terminal Rendezvous<br />

Numerical Optimization Methods<br />

Entry Guidance Equations<br />

Application of Optimization Techniques<br />

Mission Constraints <strong>and</strong> Trajectory Interfaces<br />

Guidance System Performance Analysis<br />

The work was conducted under the direction of C. D. Baker, J. W. Winch,<br />

<strong>and</strong> D. P. Ch<strong>and</strong>ler, Aero-Astro Dynamics Laboratory, George C. Marshall Space<br />

Flight Center., The North American program was conducted under the direction<br />

of H. A. McCarty <strong>and</strong> G. E. Townsend.<br />

iii

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