## First compilation of papers on trajectory analysis and guidance theoryScientific and Technical Information Division. National Aeronautics and Space Administration; [For sale by the Clearinghouse for Federal Scientific and Technical Information, Springfield, Va.], 1967 - Science - 215 pages |

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### Contents

INTRODUCTION | 1 |

FUNCTIONS OF RELAXED CONTROLS | 7 |

DEVELOPMENT OF MULTIVARIATE FUNCTIONAL MODELS | 21 |

5 other sections not shown

### Common terms and phrases

algorithm angular momentum applied approximate artificial satellite assumed Brouwer calculus of variations canonical variables Celestial Mechanics coefficients component computation constant convergent coordinates critical inclination curve Delaunay variables denote derived determined differential equations eccentricity orbits elements energy equations of motion error bounds exists fluctuations follows given GUIDANCE THEORY Hamiltonian Hence Hill variables inequality initial conditions integral interval L. C. Young Lagrange multipliers Lemma linear long-period Mars mean anomaly mean motion measurable method minimum nodal oblateness obtained optimal order terms original control paper perturbation Poincare polynomials power series primer vector proof radius of pericenter recursion regularizing variable relaxed control right ascension second order secular semi-major axis series expansion short-period singular singular solution space subset Sundman tesseral harmonics Theorem three bodies three-body problem trajectory analysis transformation true anomaly Vagners Zeipel zero eccentricity