Some numerical quadrature for singular integral of the altimetry gravity in the innermost area

In order to simplify the calculation process and improve the calculation efficiency of inverse Stokes formula method and the inverse Vening-Meinesz formula method to invert the gravity anomaly, the numerical quadrature method is adopted. A new study on the investigation of singular integral of inver...

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Autores principales:	ZONG Jingwen, LI Houpu, JI Bing, OUYANG Yongzhong
Formato:	article
Lenguaje:	ZH
Publicado:	Surveying and Mapping Press 2021
Materias:	satellite altimetry inverse stokes formula inverse vening-meinesz formula non-singular transformation numerical quadrature formula Mathematical geography. Cartography GA1-1776
Acceso en línea:	https://doaj.org/article/6766f9df65864d8e8aacc5522b0e9c75
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id	oai:doaj.org-article:6766f9df65864d8e8aacc5522b0e9c75
record_format	dspace
spelling	oai:doaj.org-article:6766f9df65864d8e8aacc5522b0e9c752021-11-12T02:25:59ZSome numerical quadrature for singular integral of the altimetry gravity in the innermost area1001-159510.11947/j.AGCS.2021.20200564https://doaj.org/article/6766f9df65864d8e8aacc5522b0e9c752021-10-01T00:00:00Zhttp://xb.sinomaps.com/article/2021/1001-1595/2021-10-1308.htmhttps://doaj.org/toc/1001-1595In order to simplify the calculation process and improve the calculation efficiency of inverse Stokes formula method and the inverse Vening-Meinesz formula method to invert the gravity anomaly, the numerical quadrature method is adopted. A new study on the investigation of singular integral of inverse Stokes formula and inverse Vening-Meinesz formula based on Simpson formula and Cotes formula is done and the formula of gravity anomaly in innermost area are derived systematically. The analysis based on the theoretical model of geoidal height and vertical deflections shows that the formula can directly use the geoid height and vertical deviation at the grid node to calculate the gravity anomaly which have simple form, high precision and high calculation efficiency.These research results can provide theoretical basis for high-precision satellite altimetry inversion of gravity anomalies.ZONG JingwenLI HoupuJI BingOUYANG YongzhongSurveying and Mapping Pressarticlesatellite altimetryinverse stokes formulainverse vening-meinesz formulanon-singular transformationnumerical quadrature formulaMathematical geography. CartographyGA1-1776ZHActa Geodaetica et Cartographica Sinica, Vol 50, Iss 10, Pp 1308-1319 (2021)
institution	DOAJ
collection	DOAJ
language	ZH
topic	satellite altimetry inverse stokes formula inverse vening-meinesz formula non-singular transformation numerical quadrature formula Mathematical geography. Cartography GA1-1776
spellingShingle	satellite altimetry inverse stokes formula inverse vening-meinesz formula non-singular transformation numerical quadrature formula Mathematical geography. Cartography GA1-1776 ZONG Jingwen LI Houpu JI Bing OUYANG Yongzhong Some numerical quadrature for singular integral of the altimetry gravity in the innermost area
description	In order to simplify the calculation process and improve the calculation efficiency of inverse Stokes formula method and the inverse Vening-Meinesz formula method to invert the gravity anomaly, the numerical quadrature method is adopted. A new study on the investigation of singular integral of inverse Stokes formula and inverse Vening-Meinesz formula based on Simpson formula and Cotes formula is done and the formula of gravity anomaly in innermost area are derived systematically. The analysis based on the theoretical model of geoidal height and vertical deflections shows that the formula can directly use the geoid height and vertical deviation at the grid node to calculate the gravity anomaly which have simple form, high precision and high calculation efficiency.These research results can provide theoretical basis for high-precision satellite altimetry inversion of gravity anomalies.
format	article
author	ZONG Jingwen LI Houpu JI Bing OUYANG Yongzhong
author_facet	ZONG Jingwen LI Houpu JI Bing OUYANG Yongzhong
author_sort	ZONG Jingwen
title	Some numerical quadrature for singular integral of the altimetry gravity in the innermost area
title_short	Some numerical quadrature for singular integral of the altimetry gravity in the innermost area
title_full	Some numerical quadrature for singular integral of the altimetry gravity in the innermost area
title_fullStr	Some numerical quadrature for singular integral of the altimetry gravity in the innermost area
title_full_unstemmed	Some numerical quadrature for singular integral of the altimetry gravity in the innermost area
title_sort	some numerical quadrature for singular integral of the altimetry gravity in the innermost area
publisher	Surveying and Mapping Press
publishDate	2021
url	https://doaj.org/article/6766f9df65864d8e8aacc5522b0e9c75
work_keys_str_mv	AT zongjingwen somenumericalquadratureforsingularintegralofthealtimetrygravityintheinnermostarea AT lihoupu somenumericalquadratureforsingularintegralofthealtimetrygravityintheinnermostarea AT jibing somenumericalquadratureforsingularintegralofthealtimetrygravityintheinnermostarea AT ouyangyongzhong somenumericalquadratureforsingularintegralofthealtimetrygravityintheinnermostarea
_version_	1718431294426185728

Some numerical quadrature for singular integral of the altimetry gravity in the innermost area

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