Abstract
We examine the motion of a photon in the gravitational field of a binary system. The equations of motion are geodesic equations in the geometry describing the region around a star but deformed with tidal and/or rotational forces. We specialize the equations to that of an edge-on binary and use the method of osculating elements to integrate them. This work helps identify a binary system through the gravitational light deflection of one member in the gravitational field of the other member. It is found that the effects of the companion body on a photon passing the edge of the star can be potentially detected by astrometric satellites with μas precision if the ratio of the Schwarzchid radius to the star radius Two different cumulative effects on the photon path are also identified.
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