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DOI	10.1016/j.earscirev.2021.103773
	On determination of the geoid from measured gradients of the Earth's gravity field potential
	Novák P.; Šprlák M.; Pitoňák M.
发表日期	2021
ISSN	0012-8263
卷号	221
英文摘要	The geoid is an equipotential surface of the static Earth's gravity field which plays a fundamental role in definition of physical heights related to the mean sea level (orthometric heights) in geodesy and which represents a reference surface in many geoscientific studies. Its determination with the cm-level accuracy or better, in particular over dry land, belongs to major tasks of modern geodesy. Traditional data and underlined theory have significantly been affected in recent years by rapid advances in observation techniques. This study reviews gradients of the disturbing gravity potential, both currently available and foreseen, and systematically discusses mathematical models for geoid determination based on gradient data. Fundamentals required for geoid definition and its estimation from measured potential gradients are shortly reviewed at the beginning of the text. Then particular mathematical models based on solutions to boundary-value problems of the potential theory, which include both integral transforms and integral equations, are formulated. Properties of respective integral kernel functions are demonstrated and discussed. With the new mathematical models introduced, new research topics are opened which must be resolved in order to allow for their full-fledged applicability in geoid modelling. Stochastic modelling is also discussed which estimates gradient spatial resolution and accuracy required for geoid modelling with the cm-level accuracy. Results of stochastic modelling suggest that the cm-geoid can be estimated using available gradient data if related problems, namely reduction of gradient data for gravitational effects of all masses outside the geoid and their downward continuation, are solved at the same level of accuracy. © 2021 Elsevier B.V.
英文关键词	Boundary-value problem; Disturbing potential; Earth's gravity field; Geoid; Gravity gradients; Potential theory
语种	英语
来源期刊	EARTH-SCIENCE REVIEWS
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/209192
作者单位	NTIS – New Technologies for the Information Society, Faculty of Applied Sciences, University of West Bohemia, Univerzitní 2732/8, Plzeň, 301 00, Czech Republic
推荐引用方式 GB/T 7714	Novák P.,Šprlák M.,Pitoňák M.. On determination of the geoid from measured gradients of the Earth's gravity field potential[J],2021,221.
APA	Novák P.,Šprlák M.,&Pitoňák M..(2021).On determination of the geoid from measured gradients of the Earth's gravity field potential.EARTH-SCIENCE REVIEWS,221.
MLA	Novák P.,et al."On determination of the geoid from measured gradients of the Earth's gravity field potential".EARTH-SCIENCE REVIEWS 221(2021).