<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The satellite gradiometric data should be validated prior to being used. One way of such a validation process is to use some integral estimators which are the second-order partial derivatives of the extended Stokes formula to regenerate the data from the gravity anomaly at the topographic surface. In this paper, we present how least-squares modification methods are used to modify such integral estimators. Our concentration will be on validation of the vertical-horizontal and horizontal-horizontal elements of the gravitational tensor at satellite level. The paper will formulate the elements of the system of equations from which the modification parameters are derived based on all types of least-squares modification. The truncation and Paul's coefficients will also be modelled.</p></abstract>

The satellite gradiometric data should be validated prior to being used. One way of such a validation process is to use some integral estimators which are the second-order partial derivatives of the extended Stokes formula to regenerate the data from the gravity anomaly at the topographic surface. In this paper, we present how least-squares modification methods are used to modify such integral estimators. Our concentration will be on validation of the vertical-horizontal and horizontal-horizontal elements of the gravitational tensor at satellite level. The paper will formulate the elements of the system of equations from which the modification parameters are derived based on all types of least-squares modification. The truncation and Paul's coefficients will also be modelled.

Towards Validation of Satellite Gradiometric Data Using Modified Version of 2<sup>nd</sup> Order Partial Derivatives of Extended Stokes' Formula

Division of Geodesy, Royal Institute of Technology (KTH), Stockholm, Sweden

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Towards Validation of Satellite Gradiometric Data Using Modified Version of 2 Order Partial Derivatives of Extended Stokes' Formula

The satellite gradiometric data should be validated prior to being used. One way of such a validation process is to use some integral estimators which are the...

Towards Validation of Satellite Gradiometric Data Using Modified Version of 2^nd Order Partial Derivatives of Extended Stokes' Formula

Published Online: Apr 26, 2010

Page range: 103 - 129

DOI: https://doi.org/10.2478/v10018-009-0024-5

Keywords
Combination of gradients, gradiometry, gravity gradient, isotropic kernel, integral gradient estimator, Paul's coefficients, signal and error spectra, truncation coefficients, validation

This content is open access.

Towards Validation of Satellite Gradiometric Data Using Modified Version of 2nd Order Partial Derivatives of Extended Stokes' Formula