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Titlebook: IX Hotine-Marussi Symposium on Mathematical Geodesy; Proceedings of the S Pavel Novák,Mattia Crespi,Fernando Sansò Conference proceedings 2

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Second- and Third-Order Derivatives of the Somigliana-Pizzetti Reference Gravity Fieldravity field curvature values) is investigated. Closed expressions for these second- and third-order derivatives are derived in spheroidal coordinates. Rigorous equations for the second-order derivatives in a local north-oriented frame are also given. It is shown that on the surface of the reference
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On the Advantage of Normal Heightstin-Marussi Symposium on Theoretical Geodesy, Italy, Rome, June 18–June 22, 2018), which contains the criticisms of the basic concepts of Molodensky’s theory: normal height and height anomaly of the point on the earth’s surface, plotted on the reference ellipsoid surface and forming the surface of a
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Green’s Function Method Extended by Successive Approximations and Applied to Earth’s Gravity Field Rerative by nature. A transformation of spatial (ellipsoidal) coordinates is used that offers a possibility for an alternative between the boundary complexity and the complexity of the coefficients of Laplace’s partial differential equation governing the solution. The solution domain is carried onto
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Permanent GNSS Network Optimization Considering TectonicMotionsic motion with other geodetic criteria. It considers the case of a pre-existing network to be densified by the addition of new stations. An optimization principle that minimizes the error of the estimated background motion and maximizes the spatial uniformity of the stations is formulated. A means t
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Adjustment of Gauss-Helmert Models with Autoregressive and Student Errorsive (AR) random deviations. This model allows us to take into account unknown forms of colored noise as well as heavy-tailed white noise components within observed time series. We show that this GHM can be adjusted in principle through constrained maximum likelihood (ML) estimation, and also conveni
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