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We study the impact of relativistic gravitational deflection of light on theaccuracy of future Space Interferometry Mission (SIM). We estimate thedeflection angles caused by the monopole, quadrupole and octupole components ofgravitational fields for a number of celestial bodies in the solar system. Weobserve that, in many cases, the magnitude of the corresponding effects issignificantly larger than the 1 uas accuracy expected from SIM. This factargues for the development of a relativistic observational model for themission that would account for the influence of both static and time-varyingeffects of gravity on light propagation. Results presented here are differentfrom the ones obtained elsewhere by the fact that we specifically account forthe differential nature of the future SIM astrometric measurements. We alsoobtain an estimate for the accuracy of possible determination of theEddington's parameter \gamma via SIM global astrometric campaign; we concludethat accuracy of ~7 x 10^{-6} is achievable via measurements of deflection oflight by solar gravity.

Relativistic gravitational deflection of light and its impact on the modeling accuracy for the Space Interferometry Mission