A method of increasing the accuracy of triaxial magnetometers using distorting (correcting) matrices is proposed. A noise-immune method of determining such matrices using a standard measure of magnetic induction, and also an accurate and operative method of determining the nonorthogonalities of a magnetometer and a method of determining the orientation of a (nonorthogonal) magnetometer in a (nonorthogonal) measure are developed. Particular attention is paid to the analogy of a distorting matrix to the well-known system of Poisson parameters.
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Notes
In the original paper [4], it is called the intrinsic reference frame system (IRFS).
Two types of fluxgate magnetometers are used at the present time: with spaced and coincident centers of the components. It is stated in [4, 6] that each type has its own form of magnetic axes, while in [7] they assert that both forms of axes are appropriate to both types of magnetometers. It is shown in (1)–(4) that a change in the form of the axes is independent of the type of magnetometer, but is related to the form of Eq. (1) or (3), which are applicable to both types of magnetometers.
In [8, 10, 11], expressions (19) and (20) are sometimes misrepresented and sometimes identified. At one point, in [10, 11], it would seem that (19) and (20) contradict one another. However, as follows from (18), there is no contradiction, since both expressions are correct. The point is that they correspond to two different triples of the axes I i and h i (see (2) and (4)).
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Translated from Izmeritel’naya Tekhnika, No. 6, pp. 46–51, June, 2013.
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Ivanov, Y.M., Semenov, V.G. Correcting matrices – a way of increasing the accuracy of triaxial magnetometers. Meas Tech 56, 674–682 (2013). https://doi.org/10.1007/s11018-013-0264-4
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DOI: https://doi.org/10.1007/s11018-013-0264-4