Methods in Astrodynamics and Celestial Mechanics

Methods in Astrodynamics and Celestial Mechanics

A Selection of Technical Papers Based Mainly on the American Institute of Aeronautics and Astronautics and Institute of Navigation Astrodynamics Specialist Conference Held at Monterey, California, September 16-17, 1965

1st Edition - January 1, 1966

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  • Editors: Raynor L. Duncombe, Victor G. Szebehely
  • eBook ISBN: 9781483276854

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Methods in Astrodynamics and Celestial Mechanics is a collection of technical papers presented at the Astrodynamics Specialist Conference held in Monterey, California, on September 16-17, 1965, under the auspices of the American Institute of Aeronautics and Astronautics and Institute of Navigation. The conference provided a forum for tackling some of the most interesting applications of the methods of celestial mechanics to problems of space engineering. Comprised of 19 chapters, this volume first treats the promising area of motion around equilibrium configurations. Following a discussion on limiting orbits at the equilateral centers of libration, the reader is introduced to the asymptotic expansion technique and its application to trajectories. Asymptotic representations for solutions to the differential equations of satellite theory are considered. The last two sections deal with orbit determination and mission analysis and optimization in astrodynamics. Error equations of inertial navigation as applied to orbital determination and guidance are evaluated, along with parameter hunting procedures and nonlinear optimal control problems with control appearing linearly .This book will be useful to practitioners in the fields of aeronautics, astronautics, and astrophysics.

Table of Contents

  • The AIAA Astrodynamics Committee 1965

    The Astrodynamics Specialist Conference Committee 1965


    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

Product details

  • No. of pages: 452
  • Language: English
  • Copyright: © Academic Press 1966
  • Published: January 1, 1966
  • Imprint: Academic Press
  • eBook ISBN: 9781483276854

About the Editors

Raynor L. Duncombe

Victor G. Szebehely

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