Corrections of solid earth tide and ocean tide for measurement of deflection of the vertical

doi:10.11947/j.AGCS.2022.20220104

Abstract

Abstract: The deflection of the vertical (DOV) is the basic data for geodesy and geophysics. The solid earth tide and ocean tide are important factors affecting the precision of DOV measurement.The correction of the solid earth tide mainly includes the direct effect of celestial tidal-generating potential on the DOV, and the indirect effect of additional gravitational potential caused by solid earth deformation.Based on the spherical harmonic expansion theory of the gravitational field, this paper deduces the correction formulae of the solid earth tide and ocean tide for DOV measurement. Using JPL DE421 ephemeris model and EOT11A tide model, the DOV corrections on 19570 GNSS stations all over the world were calculated, and their temporal and spatial variations were then analyzed. The corrections of tidal-generating potentials of solar and lunar and its additional gravitational potentials, and ocean tide for the meridian and prime vertical components of DOV are given bythe examples. The updated precision of DOV measurement can reach the level of 0.1″, however, the DOV corrections of the solid earth tide and the ocean tide account for about 17% of the first-class astronomical accuracy (0.3″) in China. It must be taken into account the corrections of solid earth tide and ocean tide in the applications of precise DOV.

Key words: DOV, tidal-generating potential, solid earth tide, ocean tide, spherical harmonic expansion

CLC Number:

P223

GUO Jinyun, JIN Xin, BIAN Shaofeng, CHANG Xiaotao. Corrections of solid earth tide and ocean tide for measurement of deflection of the vertical[J]. Acta Geodaetica et Cartographica Sinica, 2022, 51(7): 1215-1224.

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