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    Celestial Dynamics at High Eccentricities

    Celestial Dynamics at High Eccentricities by Brumberg, Victor; Brumberg, Eugene V.;

    Series: Advances in Astronomy and Astrophysics;

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    Product details:

    • Edition number 1
    • Publisher CRC Press
    • Date of Publication 22 July 1999

    • ISBN 9789056992125
    • Binding Hardback
    • No. of pages220 pages
    • Size 254x191 mm
    • Weight 657 g
    • Language English
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    Short description:

    This book aims to extend the range of application of analytical and semi-analytical techniques of classical celestial mechanics for the case of motion in highly eccentric orbits.

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    Long description:

    This book aims to extend the range of application of analytical and semi-analytical techniques of classical celestial mechanics for the case of motion in highly eccentric orbits. The technique, developed by the authors and described in detail here, is based on the traditional mean, true, or eccentric anomalies with the elliptic anomaly and corresponding Fourier expansions for Jacobi elliptic functions. It makes it possible to represent more effectively the motion of celestial objects in highly eccentric orbits, which until now has been studied mostly using numerical integration. The specific methodology described in the book is linked closely to mathematical software used widely in the West, and is therefore of relevance to researchers worldwide.

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    Table of Contents:

    1. Elliptic Anomaly in the Two-Body Problem 2. Elliptic Anomaly in Perturbed Motion 3. Linear Theory of Motion for Highly Eccentric Artificial Satellites 4. Theory of Motion of Asteroids in Highly Eccentric (Non-Intersecting) Orbits 5. Theory of Motion of the Objects in Orbits Intersecting in Projection 6. Computational Formulas

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