A conventional value for the geoid reference potential

• Published in: Journal of geodesy 2016-09, Vol.90 (9), p.815-835
• Main Authors: Sanchez, L, Cunderlik, R, Dayoub, N, Mikula, K, Minarechova, Z, Sima, Z, Vatrt, V, Vojtiskova, M
• Format: Article
• Language: English
• Subjects: Marine
• ISSN: 0949-7714; 1432-1394
• DOI: 10.1007/s00190-016-0913-x

(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image). ... is defined as the potential value of a particular level surface of the Earth's gravity field called the geoid. Since the most accepted definition of the geoid is understood to be the equipotential surface that coincides with the worldwide mean ocean surface, a usual approximation of ... is the averaged potential value ... at the mean sea surface. In this way, the value of ... depends not only on the Earth's gravity field modelling, but also on the conventions defining the mean sea surface. ... computations performed since 2005 demonstrate that current published estimations differ by up to ... (corresponding to a level difference of about 27 cm), which could be caused by the differences in the treatment of the input data. The main objective of this study is to perform a new ... estimation relying on the newest gravity field and sea surface models and applying standardised data and procedures. This also includes a detailed description of the processing procedure to ensure the reproducibility of the results. The following aspects are analysed in this paper: (1) sensitivity of the ... estimation to the Earth's gravity field model (especially omission and commission errors and time-dependent Earth's gravity field changes); (2) sensitivity of the ... estimation to the mean sea surface model (e.g., geographical coverage, time-dependent sea surface variations, accuracy of the mean sea surface heights); (3) dependence of the ... empirical estimation on the tide system; and (4) weighted computation of the ... value based on the input data quality. Main conclusions indicate that the satellite-only component ... of a static (quasi-stationary) global gravity model is sufficient for the computation of ... This model should, however, be based on a combination of, at least, satellite laser ranging (SLR), GRACE and GOCE data. The mean sea surface modelling should be based on mean sea surface heights referring to a certain epoch and derived from a standardised multi-mission cross-calibration of several satellite altimeters. We suggest that the uncertainties caused by geographically correlated errors, including shallow waters in coastal areas and sea water ice content at polar regions should be considered in the computation of ... by means of a weighed adjustment using the inverse of the input data variances as a weighting factor. This weighting factor should also include the improvement provide