Astronomy and Astrophysics – Astronomy
Scientific paper
May 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009iau...261.0502t&link_type=abstract
American Astronomical Society, IAU Symposium #261. Relativity in Fundamental Astronomy: Dynamics, Reference Frames, and Data Ana
Astronomy and Astrophysics
Astronomy
Scientific paper
We recall the relativistic definition of the angle between a light ray and a given direction or between two light rays as measured by an observer moving with a given unit 4-velocity. Then we present a review of the different methods currently used to determine the deflection of light in a gravitational field. In almost all the works devoted to this problem, the deflection of light is determined by integrating the differential equations of null geodesics of the metric. For example, this procedure is the basis of the different models proposed to exploit the data furnished by GAIA. However, very different approaches have been developed in recent years. These new procedures are particularly convenient for treating the cases where both the source of the ray and the observer are located at a finite distance. Moreover, these alternative approaches avoid integrating the geodesic equations. After a brief discussion of the advantages and disadvantages of each method, we summarize some recent results enabling new tests of relativity, especially the bending of light due to the mass-multipoles of a giant planet.
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