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Geodetic calculus with block-averages observations on the sphere

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Abstract

The calculus of spherical harmonic representation of fields of geodetic interest is often performed by applying integral formulas to block-averaged quantities. Due to the dependence of the block areas on latitude, it is difficult to perform a rigorous computation; in this paper the effects of approximations related to the loss of orthogonality in the discretization and averaging procedures are numerically studied; a simple numerical approach to improve the efficiency of the estimates is presented.

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Authors and Affiliations

  1. Dipartimento I.I.A.R., Sezione Rilevamento, Politecnico di Milano, Italy

    A. Albertella, F. Sacerdote & F. Sansò

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  1. A. Albertella
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  2. F. Sacerdote
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  3. F. Sansò
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Albertella, A., Sacerdote, F. & Sansò, F. Geodetic calculus with block-averages observations on the sphere. Surv Geophys 14, 395–402 (1993). https://doi.org/10.1007/BF00690567

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  • DOI: https://doi.org/10.1007/BF00690567

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