Second-order Corrections to Time Delay and Deflection of Light Passing near a Massive Object

Details Second-order Corrections to Time Delay and Deflection of Light Passing near a Massive Object Second-order Corrections to Time Delay and Deflection of Light Passing near a Massive Object

May 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008dda....39.0904a&link_type=abstract

American Astronomical Society, DDA meeting #39, #9.04

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Scientific paper

The distance of closest approach of a light ray to a massive object is an important parameter in the comparison between theory and experiment in light deflection and time delay experiments, such as in the Cassini experiment that gives the best information to date of the spatial curvature parameter γ. However the parameter is not directly measurable. It must be calculated from other information such as the radial distances of transmitter and receiver, and the elongation or angle between the vectors from source to transmitter and to receiver. We present calculations of this parameter to second order in the ratio of the Schwarzschild mass parameter to the Newtonian distance of closest approach, in isotropic coordinates, and present second-order calculations of time delay incorporating these results. This approach differs from most other such derivations that do not calculate the distance of closest approach explicitly. Other calculations of time delay to second order are reviewed and compared. Implications for the Cassini experiment are discussed. Of particular interest are the comparison with the Jet Propulsion Laboratory's implementation of higher-order corrections in the ODP (Orbit Determination Program), as well as higher order contributions to light deflection.

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