Physical Correlation and Some of its Dangerous Properties

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Mikhail D.Gerasimenko , Nikolay V.Shestakov , Valerii M.Kamornyi

Abstract

Apart from algebraic correlations, we need to take into account physical correlations in observations due to
inestimable systematic errors. This is especially important in the case of GPS measurements. Different investigators have
obtained values of correlation coefficients of up to 0.85 for identical satellite configuration due to physical correlations. The
attempt has been to introduce these correlations or some correlation functions into post-processing of GPS measurements in
order to improve the results. As illustrated in our report however, it may be very problematic in practice and could lead to
extraordinarily absurd results. One such unexpected effect may be artificial increase of the weight P of the results. When
weight

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