Relativity in Astrometry, Celestial Mechanics and Geodesy by Michael H. Soffel.

The book "Relativity in Astrometry, Celestial Mechanics and Geodesy" repre­ sents a significant contribution to modern relativistic celestial mechanics and astrometry. In these branches of astronomy the theory of general relativity is used nowadays as an efficient practical framework for c...

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Bibliographic Details
Main Author: Soffel, Michael H. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1989.
Edition:1st ed. 1989.
Series:Astronomy and Astrophysics Library,
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1. Relativity in Astrometry, Celestial Mechanics and Geodesy
  • 1.1 Astrometry
  • 1.2 Celestial Mechanics
  • 1.3 Geodesy
  • 2. Newtonian and Relativistic Space-Time
  • 2.1 Newtonian Space-Time
  • 2.2 Relativistic Space-Time
  • 3. Reference Frames and Astrometry
  • 3.1 Introduction
  • 3.2 Clocks and the Temporal Aspect of Reference Frames
  • 3.3 Spatial Reference Directions
  • 3.4 Reference Frames and Coordinate Systems
  • 4. Celestial Mechanics
  • 4.1 Post-Newtonian Motion of Point Masses
  • 4.2 Motion of Satellites
  • 4.3 Lunar Motion
  • 4.4 Motion of the Planetary System
  • 4.5 Numerically Produced Ephemerides Ill
  • 4.6 Timing Observations of Pulsars in Binary Systems
  • 4.7 Relativistic Motion of Extended Bodies
  • 5. Geodesy
  • 5.1 Post-Newtonian Gravimetry
  • 5.2 Realisation of Time-Scales
  • 5.3 Space Methods
  • A.1 PPN-Metric, Christoffel Symbols and Curvature Tensor
  • A.2 The PPN Two-Body Problem
  • A.2.1 The Wagoner-Will Representation
  • A.2.2 The Brumberg Representation
  • A.2.3 The Damour-Deruelle Representation
  • A.2.4 The Solution with Osculating Elements
  • A.3 On the PPN Hill-Brown Theory
  • A.3.1 Geocentric EIH Equations for the Restricted Three-Body Problem
  • A.3.2 The Geodetic Precession as derived from the EIH Equations
  • A.3.3 The PPN Hill-Brown Calculation in the Instantaneous Geocentric System
  • A.4 On the PPN Euler Equation
  • References.