Some fundamental problems on the establishment of the global unified height system, including the geometry and gravity definition of the normal height, the global unification of the regional height systems obtained from leveling measurements, and the determination of geoid potential W0 are discussed. The main conclusions are summarized:①The definition of normal height in the sense of geometry leveling and gravity theory is different, so that h-ζ≠HL, here h, ζ and HL are geodetic height, height anomaly and levelling height respectively. Instead of it, we found HL=h-ζ+∂γ/∂hζH, in the mountain area, the last correction term have to be added. ②Based on the merging of GNSS/gravity/regional leveling, the regional leveling height can be transformed into a global relative unified height system, however the value of geoid potential W0 is still needed in order to establish an absolute height system. ③W0 can be determinated from the modern geodetic techniques with a certain accuracy, but it is time variable, so that people may only define a global absolute unified height system in a fixed epoch.
XU Houze
. Global Unification Problem of the Height System[J]. Acta Geodaetica et Cartographica Sinica, 2017
, 46(8)
: 939
-944
.
DOI: 10.11947/j.AGCS.2017.20170406
[1] HEISKANEN W A, MORITZ H. Physical Geodesy[J]. Bulletin Géodésique, 1967, 86(1):491-492.
[2] 党亚民, 章传银, 陈俊勇, 等. 现代大地测量基准[M]. 北京:测绘出版社, 2015. DANG Yamin, ZHANG Chuanyin, CHEN Junyong, et al. Modern Geodetic Datum[M]. Beijing:Surveying and Mapping Press, 2015.
[3] KUTTERER H, NEILAN R, BIANCO G. Global Geodetic Observing System (GGOS)[J]//Journal of Geodesy, 2012, 86(10):915-926.
[4] FÖRSTE C, BRUINSMA S, SHAKO R, et al. EIGEN-6-A New Combined Global Gravity Field Model Including GOCE Data from the Collaboration of GFZ-Potsdam and GRGS-Toulouse[R].[S.l.]:[s.n.], 2011.
[5] LEMOINE F G, KENYON S C, FACTOR J K, et al. The Development of the Joint NASA GSFC and the NIMA Geopotential Model EGM96[J]. 1998.
[6] MENEMENLIS D, CAMPIN J M, HEIMBACH P, et al. ECCO2:High Resolution Global Ocean and Sea Ice Data Synthesis[C]//AGU Fall Meeting.[s.l.]:AGU, 2008.
[7] 赫林, 李建成, 褚永海. 1985国家高程基准与全球高程基准之间的垂直偏差[J]. 测绘学报, 2016, 45(7):768-774. HE Lin, LI Jiancheng, CHU Yonghai. The Vertical Shift Between 1985 National Height Datum and Global Vertical Datum[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(7):768-774. DOI:10.11947/j.AGCS.2016.20160029.
[8] DAYOUB N, EDWARDS S J, MOORE P. The Gauss-listing Geopotential Value W0 and Its Rate from Altimetric Mean Sea Level and GRACE[J]. Journal of Geodesy, 2012, 86(9):681-694.
[9] SÁNCHEZ L, DAYOUB N, ČUNDERLÍK R, et al. W0 Estimates in the Frame of the GGOS Working Group on Vertical Datum Standardisation[C]//International Association of Geodesy Symposia. Germany:Springer, 2014, 141:203-210.
[10] ZHANG Chuanyin, DANG Yamin, JIANG Tao, et al. Heterogeneous Gravity Data Fusion and Gravimetric Quasigeoid Computation in the Coastal Area of China[J]. Marine Geodesy, 2017, 40(2-3):142-159.
[11] 翟振和, 李达, 欧阳明达. 大地水准面重力位的确定[J]. 测绘科学与工程, 2015, 35(1):14-18. ZHAI Zhenhe, LI Da, OUYANG Mingda. Determination of Gravity Potential of the Geoid[J]. Geomatic Science and Engineering, 2015, 35(1):14-18.
