Determination of Geoid Height at the Summit of Mount Qomolangma
Objectives:The determination of the orthometric height of Mount Qomolangma requires the prior calculation of geoid height,which is determinined by the quasi-geoid(height anomaly)and the height difference between the quasi-geoid and geoid.Methods:First,based on Molodensky principle and remove-restore technology,a 1.5'× 1.5'gravity quasi-geoid model in Mount Qomolangma region can be established by using a terrain model,an earth gravity field model,and the fusion data of ground and air-borne gravity.Then,system errors can be eliminated by correcting the gravity quasi-geoid model with GNSS-leveling points.The quasi-geoid based on the National Vertical Datum 1985 can be obtained.Final-ly,the height difference between the quasi-geoid and geoid can be calculated by using the remove-restore method by gravity at the summit of Mount Qomolangma.Results:The results show that the EIGEN-6C4 earth gravity field model performs best in the region of Mount Qomolangma compared to EGM2008 and XGM2019e_2159.The precision of the gravity geoid model is 7.8 cm based solely on the EIGEN-6C4 and ground gravity data,while it is 4.8 cm based on the EIGEN-6C4 and the fusion data of ground and airborne gravity.The accuracy of model is improved by approximately 40%than using ground gravity data only.At the summit of Mount Qomolangma,the height anomaly is-25.586 m,the height difference between the quasi-geoid and geoid is-1.216 m,and the geoid height is(-26.802±0.06)m in the National Height Datum 1985.Conclusions:Airborne gravity can effectively provide data for the region where ground gravity data is sparse or non-existent.By incorporating airborne gravity,the density of gravity data at the summit of Mount Qomolangma has been greatly improved,leading to an increased accuracy of the quasi-geoid model.The availability of richer data,more accurate models,and more advanced calculation methods in 2020 resulted in more reliable results compared to the 2005 measurement.
Mount Qomolangmaairborne gravityquasi-geoidremove-restore methodgeoid height