A new gravimetric geoid for Mexico, xGGM23, was determined to update the national official solution used to homogenize GNSS-derived heights. Its resolution of 2.5 arc minutes is consistent with the spatial distribution of terrestrial gravimetry in the country, and its coverage is extended to include the southern US, Belize, Guatemala, El Salvador, Honduras and Nicaragua. We apply the Stokes-Helmert method for geoid modeling to combine the existing land gravimetry with the geopotential model GOCO06s at the reference potential \( {W}_0^{NA}=\textrm{62,636,856.0}\ {\textrm{m}}^2{\textrm{s}}^{-2} \) , which is the standard adopted in North America. A dataset of 182,870 land gravity points in Mexico was combined with DTU21 marine gravity to recover the higher frequencies of the geoid, while the lower frequencies were provided by GOCO06s. Terrain effects were based on the 3″ × 3″ elevation model DEM2022 from the US National Geodetic Survey. The resulting geoid differs from the leveling datum in Mexico by 13 cm in standard deviation, resulting in a precision two times better than its predecessor model GGM10. We consider this figure as a pessimistic estimate of the real accuracy of the xGGM23, given the lower accuracies of the current leveling datum used in Mexico.

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xGGM23 an Updated Geoid Model for Mexico

  • David Avalos,
  • Marcelo Santos,
  • Petr Vanicek,
  • Robert Kingdon,
  • Ismael Foroughi,
  • Michael B. Sheng

摘要

A new gravimetric geoid for Mexico, xGGM23, was determined to update the national official solution used to homogenize GNSS-derived heights. Its resolution of 2.5 arc minutes is consistent with the spatial distribution of terrestrial gravimetry in the country, and its coverage is extended to include the southern US, Belize, Guatemala, El Salvador, Honduras and Nicaragua. We apply the Stokes-Helmert method for geoid modeling to combine the existing land gravimetry with the geopotential model GOCO06s at the reference potential \( {W}_0^{NA}=\textrm{62,636,856.0}\ {\textrm{m}}^2{\textrm{s}}^{-2} \) , which is the standard adopted in North America. A dataset of 182,870 land gravity points in Mexico was combined with DTU21 marine gravity to recover the higher frequencies of the geoid, while the lower frequencies were provided by GOCO06s. Terrain effects were based on the 3″ × 3″ elevation model DEM2022 from the US National Geodetic Survey. The resulting geoid differs from the leveling datum in Mexico by 13 cm in standard deviation, resulting in a precision two times better than its predecessor model GGM10. We consider this figure as a pessimistic estimate of the real accuracy of the xGGM23, given the lower accuracies of the current leveling datum used in Mexico.