摘要：Recently, geoidal models have been developed in order to transform ellipsoidal heights provided by GPS measurements to orthometric heights. The objective of this work is to calculate a gravimetric geoid model for Parana State, which is located between latitudes –27o to –22o and longitudes –55o to –47,5o. The traditional Remove-Restore technique for geoid computation is used in this study, in which the method of Least-Squares Collocation is used. To achieve this goal, the following information are used: EGM96 to the global geopotential model (degree and order 360); 42.135 gravimetric observations; digital terrain model SRTM with resolution of 1’ (around 1850 m) and 245 benchmarks (RRNN) observed with geodetic GPS receiver. The final resolution of the gravimetric geoid computed to Parana State is 5’ (around 10 km), having an absolute error of 30 cm (with 68% of confidence) and a relative error of 2 ppm, that is, 2 mm/km. Besides, an interpolation program of geoidal heights was developed, which was called GEOIDEPR2006(CMQ), and geodetic coordinates referred to Brazilian Geodetic System (Sistema Geodésico Brasileiro - SIRGAS2000) have been used as input data.
其他摘要：Recently, geoidal models have been developed in order to transform ellipsoidalheights provided by GPS measurements to orthometric heights. The objective ofthis work is to calculate a gravimetric geoid model for Parana State, which islocated between latitudes –27o to –22o and longitudes –55o to –47,5o. The traditionalRemove-Restore technique for geoid computation is used in this study, in which themethod of Least-Squares Collocation is used. To achieve this goal, the followinginformation are used: EGM96 to the global geopotential model (degree and order360); 42.135 gravimetric observations; digital terrain model SRTM with resolutionof 1’ (around 1850 m) and 245 benchmarks (RRNN) observed with geodetic GPSreceiver. The final resolution of the gravimetric geoid computed to Parana State is5’ (around 10 km), having an absolute error of 30 cm (with 68% of confidence) anda relative error of 2 ppm, that is, 2 mm/km. Besides, an interpolation program ofgeoidal heights was developed, which was called GEOIDEPR2006(CMQ), andgeodetic coordinates referred to Brazilian Geodetic System (Sistema GeodésicoBrasileiro - SIRGAS2000) have been used as input data.
关键词：gravimetric geoid;geoidal height;Least-Squares Collocation;geóide gravimétrico;altura geoidal;Colocação por Mínimos
