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Fundamentalnaya i Prikladnaya Matematika, 2018, Volume 22, Issue 2, Pages 33–57 (Mi fpm1787)  

This article is cited in 1 scientific paper (total in 1 paper)

Spectral analysis of the airborne vector gravimetry problem

Yu. V. Bolotin, V. S. Vyazmin

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (580 kB) Citations (1)
References:
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.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00731_а
This work was supported by RFBR (project No. 16-01-00731).
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 253, Issue 6, Pages 778–795
DOI: https://doi.org/10.1007/s10958-021-05269-7
Document Type: Article
UDC: 531+550.83+550.8.05
Language: Russian
Citation: Yu. V. Bolotin, V. S. Vyazmin, “Spectral analysis of the airborne vector gravimetry problem”, Fundam. Prikl. Mat., 22:2 (2018), 33–57; J. Math. Sci., 253:6 (2021), 778–795
Citation in format AMSBIB
\Bibitem{BolVya18}
\by Yu.~V.~Bolotin, V.~S.~Vyazmin
\paper Spectral analysis of the airborne vector gravimetry problem
\jour Fundam. Prikl. Mat.
\yr 2018
\vol 22
\issue 2
\pages 33--57
\mathnet{http://mi.mathnet.ru/fpm1787}
\transl
\jour J. Math. Sci.
\yr 2021
\vol 253
\issue 6
\pages 778--795
\crossref{https://doi.org/10.1007/s10958-021-05269-7}
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  • https://www.mathnet.ru/eng/fpm1787
  • https://www.mathnet.ru/eng/fpm/v22/i2/p33
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Фундаментальная и прикладная математика
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    Abstract page:229
    Full-text PDF :110
    References:25
     
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