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This paper is concerned with the problem of antenna array calibration in a non-stationary signal environment. In detail, this study focuses on calibration of the antenna array geometry by employing properties of the differential geometry of the array manifold vector. The proposed algorithm is totally blind, since the only available information to the array system is the received signal emitted by a moving source of unknown characteristics. The only assumption made is that the movement of the source has an angular component and that the position of one sensor with regards to the reference point is known. It is shown through Monte Carlo simulations that this method significantly improves the ability of the array system to estimate characteristics of the moving source, such as its direction of arrival (DOA), in addition to reducing the positioning errors of the array elements.