Relativity in celestial mechanics and astrometry : high precision dynamical theories and observational verifications : proceedings of the 114th Symposium of the International Astronomical Union, held in Leningrad, USSR, May 28-31, 1985
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Bibliographic Information
Relativity in celestial mechanics and astrometry : high precision dynamical theories and observational verifications : proceedings of the 114th Symposium of the International Astronomical Union, held in Leningrad, USSR, May 28-31, 1985
D. Reidel , Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, c1986
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At head of title: International Astronomical Union = Union astronomique internationale
Includes index
Description and Table of Contents
Description
The driving idea, in organizing this Symposium on "Relativity in Celestial Mechanics . and Astrometry" was that, in recent years, the ac curacy of several Astrometric techniques has so much increased that re lativistic effects are no more marginally mentioned in academic presen tations but have become an intrinsic part of the interpretation of all the positional data. Techniques such as V. L. B. I. , space probes, lunar lasers, etc . . . have greatly contributed to reduce the accuracy level to an angular equivalent of a few milliarc-seconds. HIPPARCOS will extend this trend to stellar astrometry and new proposals aim at gaining ano ther one or two orders of magnitude in observing precision. In paral lel, great progress has also been made in the theories of motion of ce lestial bodies and more rigourous treatments within the frame of general relativity become necessary. The definition of reference frames and of various coordinate times become also a major problem in the intercompa rison of observations produced by different methods. This Symposium gave to people using relativistic corrections in reducing their measurements or in constructing various theories of mo tion a chance to exchange their experience in the field and to confront it with theoreticians in general relativity. The Symposium was approved by the IAU in 1983 and it was organi zed by the Institute of Theoretical Astronomy of the USSR Academy of Sciences on May 28-31, 1985.
Table of Contents
Introductory Remarks.- Introductory Remarks.- Dynamical Effects in General Relativity.- Present Problems in Relativistic Celestial Mechanics.- Equations of Motion for Isolated Bodies with Relativistic Corrections Including the Radiation Reaction Force.- Post-Newtonian Treatise on the Rotational Motion of a Finite Body.- Planetary Perturbation Equations Based on Relativistic Keplerian Motion.- On the Dominant Relativistic Terms in the Lunar Theory.- Dynamical Effects in General Relativity.- Algebraic Manipulations on Computers for Lunar and Planetary Theories.- A Relativistic Theory of Motion of the Inner Planets.- Construction of a Planetary Solution with the Help of an N-Body Program and Analytical Complements.- Numerical Planetary and Lunar Ephemerides: Present Status, Precision and Accuracies.- Polynomial Expansion of the Planetary Secular Terms: Relativistic and Lunar Perturbations.- The Theory of the Motion of Halley Comet.- Systematic Differences between Planetary Observations and Ephemerides.- Simulation of General Relativistic Corrections in Long Term Numerical Integrations of Planetary Orbits.- Predictions of Occultations by Minor Planets as a Test of Accuracy.- The Possibility of Estimating Tidal Perturbations of Jupiter’s Galilean Satellites.- Theoretical and Observational Efforts in order to Obtain High Precision Positions of the Galilean Satellites of Jupiter.- The Precision of Modern Theories of Galilean Satellites as Derived by Their Comparison with Photographic Observations Made with the 26? Refractor at Pulkovo Observatory.- Developing High Accuracy Numerical Theories of Motion of Outer Satellites of Jupiter and Saturn.- Libration of the Moon: Shape of the Earth and Motion of the Ecliptic Plane.- Reference Frames and Astrometry.- Coordinate Systemsin the General Relativistic Framework.- Relativity in Astrometry.- Reference Frames and Gravitational Effects in the General Theory of Relativity.- System of Astronomical Constants in the Relativistic Framework.- Local Measurements and Cosmological Background.- Relativistic Interpretation of Astrometric Data.- Relativistic and Perspective Effects in Proper Motions and Radial Velocities of Stars.- On Observations in Schwarzschild Background.- Numerical Effects of Gravitational Light Deflection on the Determination of the Equinox and Equator.- A Formal Approach to Stellar Positions in Solar Barycentric Coordinates.- The Relativistic Effects in Localization of Gamma-Burst Sources.- Relativistic Effects Included in the Apparent Positions of Fundamental Stars (APFS).- Techniques for Dealing with Discordant Observations.- Relativistic Effects Near the Earth.- Local Frames.- Relativistic Effects in Geodynamics.- Relativistic Effects in Earth Based and Cosmic Long Baseline Interferometry.- Spacetime Coordinates in the Geocentric Reference Frame.- Relativistic Effects in Geodetic VLBI Measurements.- On Calculation of Relativistic Effects in Numerical Prediction of the Artificial Satellite Motion.- Relativity Effects in the Rotation of the Earth and the Motion of Atmospheric Masses.- The Motion of a Geosynchronous Satellite.- Time Scales.- The International Atomic Time, Definition, Realization.- Coordinate Time in the Vicinity of the Earth.- High Precision Observations and Relativity.- Relativistic Effects from Planetary and Lunar Observations of the XVIII–XX Centuries.- Application of the Deep Space Network (DSN) to the Testing of General Relativity.- The Sun’s Gravitational Quadrupole Moment Inferred from the Fine Structure of the Acoustic and Gravity Normal Mode Spectraof the Sun.- General Relativity Confronts Experiment.- Future Observations of Relativity Effects.- Space Astrometry Prospects and Limitations.- Prospects for Observations of Relativistic Effects in the Solar System.- Accuracy Estimates for the Determination of the Solar Space-Time Metric by HIPPARCOS.- Proposals for an Experiment to Detect the Earth’s Gravitomagnetic Field.- New Relativistic Effects in the Motion of the Moon.- Gravitational Time Delay of Signals in the Kerr Metric.- Does the Energy Density of the Vacuum Influence Planetary Motions?.- General Discussion and Index.- General Discussion.
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