Special relativity and very long baseline interferometers

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Doppler Effect, Error Analysis, Interferometry, Reference Systems, Relativistic Effects, Geocentric Coordinates, Receivers, Vector Analysis

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A technique is presented for taking relativistic effects into account when using very long-baseline interferometers with baseline lengths approaching the earth's diameter. The technique involves the use of two coordinate systems (the source's reference frame and that of one of the receivers) and the recasting of the relativistic Doppler equation for one receiver, which contains unobservable quantities, into an equation containing only observable quantities. The obtained equation expresses the frequency received at one receiver in terms of the frequency received at the other.

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