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Orbits

  • Book
  • © 2008

Overview

Authors:
  1. Guochang Xu

    1. Dept. 1 Geodesy and Remote Sensing, GeoForschungsZentrum Potsdam, Telegrafenberg A 17, Germany

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  • The first book since the satellite era began, which describes orbit theory with analytical solutions of the second order with respect to all possible disturbances

  • Based on such theory, the algorithms of orbits determination are completely revolutionized

  • Includes supplementary material: sn.pub/extras

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XVII
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  2. Introduction

    • Guochang Xu
    Pages 1-3

  3. Coordinate and Time Systems

    • Guochang Xu
    Pages 5-25

  4. Keplerian Orbits

    • Guochang Xu
    Pages 27-37

  5. Perturbations on the Orbits

    • Guochang Xu
    Pages 39-65

  6. Solutions of C$20$Perturbation

    • Guochang Xu
    Pages 67-86

  7. Solutions of Geopotential Perturbations

    • Guochang Xu
    Pages 87-146

  8. Solutions of Extraterrestrial Disturbances

    • Guochang Xu
    Pages 147-173

  9. Numerical Orbit Determination

    • Guochang Xu
    Pages 175-199

  10. Analytic Orbit Determination

    • Guochang Xu
    Pages 201-205

  11. Singularity-Free Theory and Discussions

    • Guochang Xu
    Pages 207-214

  12. Back Matter

    Pages 219-226
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Keywords

About this book

The purpose of this reference and handbook is to describe and to derive the analytic solutionsoftheequationsofsatellitemotionperturbedbyextraterrestrialandgeo- tential disturbances of the second order. The equations of satellite motion perturbed by extraterrestrial disturbances are solved by means of discretization and appr- imated potential function as well as Gaussian equations. The equations perturbed by geopotential disturbances are solved by symbolic mathematical operations. The traditional problem of singularity in the solutions is solved by so-called singulari- free orbit theory. Simpli?ed disturbed equations of motion are proposed to simplify the solutions. Applications of the theory for analytic orbit determination are also discussed. Indeed, this is the ?rst book since the satellite era, which describes s- tematically the orbit theory with analytical solutions, with respect to all of extrat- restrial and geopotential disturbances of the second order, and the solutions are free of singularity. Based on such a theory, the algorithms of orbit determination can be renewed; deeper insight into the physics of disturbances becomes possible; the way to a variety of new applications and re?nements is opened. My primary knowledge of the orbit theory came from my education of mat- matics while studying physics and theoretical mechanics (1981). My ?rst practical experience with orbit came from the research activity at the Technical University (TU) Berlin on orbit corrections of the satellite altimetry data (1988–1992). The extensive experience on orbit came from the GPS/Galileo software development for orbit determination and geopotential mapping at the GFZ (2001–2004).

Reviews

From the reviews:

“The book presents numerical and theoretical studies of satellite orbits with emphasis on analytical solutions and applications. … contains also a large list of references and recommendations for further reading. … addressed to advanced graduate students and to those readers who wish to acquire an overall view of the research field.” (Nina A. Solovaya, Zentralblatt MATH, Vol. 1183, 2010)

Authors and Affiliations

  • Dept. 1 Geodesy and Remote Sensing, GeoForschungsZentrum Potsdam, Telegrafenberg A 17, Germany

    Guochang Xu

About the author

Guochang Xu graduated in mathematics and geodesy from Wuhan University and the Chinese Academy of Sciences (CAS) in 1982 and 1984 respectively. He obtained his doctorate from the Technical University (TU) Berlin in 1992. Having worked as a research associate at the TU Berlin from 1986 to 1993, as a scientist at the GeoForschungsZentrum (GFZ) Potsdam from 1993 to 1998 and as a senior scientist at the National Survey and Cadastre, Denmark, from 1998 to 1999, he returned to the GFZ as a senior scientist in 1999. He has been involved in geodetic research since 1983 and has authored and co-authored several scientific books and software. He is also an overseas assessor of CAS and Education Ministry China and an adjunct professor of ChangAn University and CAS.

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