Methods in Astrodynamics and Celestial Mechanics

The AIAA Astrodynamics Committee 1965

The Astrodynamics Specialist Conference Committee 1965

Preface

I. Behavior of Bodies Near Libration Points

Theory and Application of Motion Around Equilibrium Positions

Limiting Orbits at the Equilateral Centers of Libration

Motion in the Vicinity of Libration Points of a Generalized Restricted Three-Body Model

Resonances Affecting Motion Near the Earth-Moon Equilateral Libration Points

Effect of Initial Configurations on Libration Point Motion

Analytical Determination of Characteristic Exponents

II. Asymptotic Representations of Space Vehicle Trajectories

Generalized Method of Averaging and the von Zeipel Method

Take-Off from a Circular Orbit by a Small Thrust

Matched Asymptotic Expansions, Patched Conics, and the Computation of Interplanetary Trajectories

A Uniformly Valid Asymptotic Representation of Satellite Motion Around the Smaller Primary in the Restricted Three-Body Problem

Asymptotic Representations for Solutions to the Differential Equations of Satellite Theory

III. Orbit Determination and Mission Analysis

Error Equations of Inertial Navigation with Special Application to Orbital Determination and Guidance

Efficient and Accurate Orbit Prediction for Very Long Periods of Time

Parameter Hunting Procedures

Accuracy in the Determination of Lunar Transponder Location from Postarrivai Tracking

Interplanetary Maneuvers in Manned Helionautical Missions

IV. Optimization in Astrodynamics

A General Method for Selection and Optimization of Trajectories

Application of a Finite-Difference Newton-Raphson Algorithm to Problems of Low-Thrust Trajectory Optimization

Nonlinear Optimal Control Problems with Control Appearing Linearly