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  • © 2019

Applied General Relativity

Theory and Applications in Astronomy, Celestial Mechanics and Metrology

  • Serves as graduate-level textbook and basic reference to the field of Applied General Relativity
  • Self-contained and thus also suitable for self-studies
  • Contains many exercises

Part of the book series: Astronomy and Astrophysics Library (AAL)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xx
  2. Introduction

    • Michael H. Soffel, Wen-Biao Han
    Pages 1-13
  3. Elements of Differential Geometry

    • Michael H. Soffel, Wen-Biao Han
    Pages 15-45
  4. Newtonian Celestial Mechanics

    • Michael H. Soffel, Wen-Biao Han
    Pages 47-113
  5. Relativity

    • Michael H. Soffel, Wen-Biao Han
    Pages 115-155
  6. Einstein’s Theory of Gravity

    • Michael H. Soffel, Wen-Biao Han
    Pages 157-184
  7. Exact Solutions—Field Moments

    • Michael H. Soffel, Wen-Biao Han
    Pages 185-233
  8. The Post-Newtonian and MPM Formalisms

    • Michael H. Soffel, Wen-Biao Han
    Pages 235-288
  9. First Applications of the PN-Formalism

    • Michael H. Soffel, Wen-Biao Han
    Pages 289-335
  10. Astronomical Reference Systems

    • Michael H. Soffel, Wen-Biao Han
    Pages 337-365
  11. The Gravitational N-Body Problem

    • Michael H. Soffel, Wen-Biao Han
    Pages 367-399
  12. Light-Rays

    • Michael H. Soffel, Wen-Biao Han
    Pages 401-429
  13. Metrology

    • Michael H. Soffel, Wen-Biao Han
    Pages 431-496
  14. Appendix

    • Michael H. Soffel, Wen-Biao Han
    Pages 497-516
  15. Back Matter

    Pages 517-538

About this book

In the late 20th and beginning 21st century high-precision astronomy, positioning and metrology strongly rely on general relativity. Supported by exercises and solutions this book offers graduate students and researchers entering those fields a self-contained and exhaustive but accessible treatment of applied general relativity. The book is written in a homogenous (graduate level textbook) style allowing the reader to understand the arguments step by step. It first introduces the mathematical and theoretical foundations of gravity theory and then concentrates on its general relativistic applications: clock rates, clock sychronization, establishment of time scales, astronomical references frames, relativistic astrometry, celestial mechanics and metrology. The authors present up-to-date relativistic models for applied techniques such as Satellite LASER Ranging (SLR), Lunar LASER Ranging (LLR), Globale Navigation Satellite Systems (GNSS), Very Large BaselineInterferometry (VLBI), radar measurements, gyroscopes and pulsar timing. A list of acronyms helps the reader keep an overview and a mathematical appendix provides required functions and terms.

Authors and Affiliations

  • Institute of planetary geodesy, Lohrmann-Observatory, Dresden, Germany

    Michael H. Soffel

  • Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai, China

    Wen-Biao Han

About the authors

Prof. Dr. phil. nat. Michael Soffel is the director of the Lohrmann Observatory of the Technical University Dresden. He is an internationally known expert in relativistic celestial mechanics, relativistic astronomy and geodesy and experimental gravity research. He is the author of the books Relativity in Astrometry, Celestial Mechanics and Geodesy (Springer, 1989) and Space-Time Reference Systems.

Prof. Wen-Biao Han, who receicved his Ph.D. in 2009, is full professor at Shanghai Astronomical Observatory, Chinese Academy of Sciences. His research area focuses on relativistic fundamental astronomy, numerical simulations of gravity waves and low-frequency gravitational astronomy. He is author of many scientific papers and principle investigator of the group 'Gravitational waves and relativistic fundamental astronomy' at Shanghai Astronomical observatory.

Bibliographic Information

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access