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Spectral Analysis of the Airborne Vector Gravimetry Problem

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Abstract

Several possible approaches for airborne vector gravimetry are compared using the spectral analysis technique. The airborne gravimetry equations are reduced to a time-invariant form using a special averaging method. Then the Fourier transform is applied to the equations. The accuracy of each approach is determined as the power spectral density of the gravity Wiener estimate error. Numerical results for the accuracy of each approach are presented given a priori stochastic models for the gravity disturbance vector and measurement errors.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    Yu. V. Bolotin & V. S. Vyazmin

Authors
  1. Yu. V. Bolotin
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  2. V. S. Vyazmin
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Correspondence to Yu. V. Bolotin.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 22, No. 2, pp. 33–57, 2018.

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Bolotin, Y.V., Vyazmin, V.S. Spectral Analysis of the Airborne Vector Gravimetry Problem. J Math Sci 253, 778–795 (2021). https://doi.org/10.1007/s10958-021-05269-7

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  • DOI: https://doi.org/10.1007/s10958-021-05269-7

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