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Deep Structure of Azerbaijan and Its Relationship with Hydrocarbon Reserves
The complexity of Azerbaijan’s territory’s geological structure stems from its location in the Alpine-Himalayan tectonic belt (AHTB). The NE part of...
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Gravity Field and Figure of the Earth
The shape of the Earth has always been a question of importance to humanity, with philosophical and religious aspects as well as practical ones,...
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First-order derivatives of principal and main invariants of gravity gradient tensor of the tesseroid and spherical shell
The invariants of gravity (or gravitational) gradient tensor can be applied as the additional internal parameters for the gravity gradient tensor,...
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History of the Method for Sourcewise Approximations of Geopotential Fields
Abstract —This paper presents the history of the method of approximating discretely specified values of gravitational and magnetic fields by...
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Seismicity clusters and vulnerability in the Himalayas by machine learning and integrated MCDM models
We use machine learning to identify spatial clusters of earthquakes, besides using multi-criteria decision-making models (MCDM) to estimate...
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Concluding Remarks
Today’s geosciences profit so much from the possibilities that result from highly advanced electronic measurement concepts, modern computer...
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Collocation and FFT-based geoid estimation within the Colorado 1 cm geoid experiment
In the frame of the International Association of Geodesy Joint Working Group 2.2.2 “The 1 cm geoid experiment”, terrestrial and airborne gravity...
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Boundary Complexity and Kernel Functions in Classical and Variational Concepts of Solving Geodetic Boundary Value Problems
In gravity field studies the complex structure of the Earth’s surface makes the solution of geodetic boundary value problems quite challenging. This...
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Multipole Expansion: Unifying Formalism for Earth and Planetary Gravitational Dynamics
The powerful method of multipole expansion has found wide utility in classical electromagnetics and quantum-mechanics. In contrast, the gravitational...
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Residual Terrain Modelling: The Harmonic Correction for Geoid Heights
The harmonic correction (HC) is one of the key quantities when using residual terrain modelling (RTM) for high-frequency gravity field modelling. In...
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Up and Down Through the Gravity Field
The knowledge of the gravity field has widespread applications in geosciences, in particular in Geodesy and Geophysics. The point of view of the...
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Green’s Functions and Integral Formulas
An essential tool of our approach to vector and tensor spherical harmonics is the theory of Green’s function on the unit sphere Ω with respect to the...
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From Newton’s Law of Gravitation to Multiscale Geoidal Determination and Ocean Circulation Modeling
The objective of this contribution is the documentation of the pioneer dimension of Newton’s work to demonstrate his mediating role between classical...
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From Gaussian Least Squares Approximation to Today’s Operator-Theoretic Regularization of Ill-Posed Problems
The aim of this contribution is to document the pioneer dimension of Gauss’s method of least squares approximation and to demonstrate its mediation...
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Geoid model determination for the Hellenic area “Hellas Geoid 2023”
The latest geoid model "HELLAS GEOID 2023" (HG2023) derived by the Hellenic Military Geographical Service is the most comprehensive model for the...
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Spherical Harmonics, Splines, and Wavelets
This contribution substantially represents a geodetically relevant collection of particularly valuable material in the diverse approximation areas...