<p>This study presents a new astro-geodetic deflection of the vertical (DoV) dataset for the Netherlands, combining previously unpublished measurements from the digital zenith camera system TZK2-D with historical visual observations spanning more than a century. The TZK2-D observations have estimated accuracies ranging from 0.03″ at the <i>‘Sonnenborgh’</i> observatory in Utrecht to less than 0.1″ at the remaining stations and are in good agreement with independent historical visual observations. No statistically significant differences were detected (<i>α</i> = 0.05), confirming the high quality of both datasets. The combined dataset enables a quantitative comparison with the high-resolution gravimetric quasi-geoid model for the Netherlands. Using a tailored Least Squares 2D Bi-Cubic Spline Approximation (LS-BICSA), gravimetric DoVs were computed from the gridded quasi-geoid model. The observed and computed values (<i>ξ</i>, <i>η</i>) agree at the 0.2″ level (overall weighted RMS), which is an excellent result considering observational, model, and interpolation errors. Based on the distribution of standardized residuals, a mean standard error of approximately 0.08″ was derived for DoVs computed from the gravimetric quasi-geoid model, consistent with independent variance–covariance analysis. These findings underscore the enduring scientific value of both historical and modern astro-geodetic observations for the evaluation of quasi-geoid models.</p>

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A new vertical deflection dataset combining modern TZK2-D and historical visual observations: analysis and comparison with the gravimetric quasi-geoid model for the Netherlands

  • Frank Schreutelkamp,
  • Christian Hirt

摘要

This study presents a new astro-geodetic deflection of the vertical (DoV) dataset for the Netherlands, combining previously unpublished measurements from the digital zenith camera system TZK2-D with historical visual observations spanning more than a century. The TZK2-D observations have estimated accuracies ranging from 0.03″ at the ‘Sonnenborgh’ observatory in Utrecht to less than 0.1″ at the remaining stations and are in good agreement with independent historical visual observations. No statistically significant differences were detected (α = 0.05), confirming the high quality of both datasets. The combined dataset enables a quantitative comparison with the high-resolution gravimetric quasi-geoid model for the Netherlands. Using a tailored Least Squares 2D Bi-Cubic Spline Approximation (LS-BICSA), gravimetric DoVs were computed from the gridded quasi-geoid model. The observed and computed values (ξ, η) agree at the 0.2″ level (overall weighted RMS), which is an excellent result considering observational, model, and interpolation errors. Based on the distribution of standardized residuals, a mean standard error of approximately 0.08″ was derived for DoVs computed from the gravimetric quasi-geoid model, consistent with independent variance–covariance analysis. These findings underscore the enduring scientific value of both historical and modern astro-geodetic observations for the evaluation of quasi-geoid models.