Some elementary relations between mass distributions inside the Earth and the geoid and gravity field

被引：0

作者：

van Hees, GLS ^{[1
]}

机构：

[1] Delft Univ Technol, Subfac Geodesie, Delft, Netherlands

来源：

JOURNAL OF GEODYNAMICS | 2000年 / 29卷 / 1-2期

关键词：

D O I：

暂无

中图分类号：

P3 [地球物理学]; P59 [地球化学];

学科分类号：

0708 ; 070902 ;

摘要：

The influence of mass distributions inside the Earth on the gravity field and geoid at the earth surface is computed by means of spherical harmonic expansions. The general formulas are applied to compute the effect of topography and isostatic compensation on the gravity field and geoid. The rigidity of the earth crust is taken into account. The thickness of the crust can be estimated from the spherical harmonic coefficients of topography and geoid. In geophysical textbooks (e.g. Turcotte, G. and Schubert, G. 1982. Geodynamics. Wiley, New York.) a formula is used to compute the geoid height from mass density disturbances. The approximations and assumptions in this formula are derived. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：111 / 123

页数：13

共 45 条

[1] RELATIONS BETWEEN FLATTENING QUANTITIES IN GRAVITY FIELD OF NIVEAU-ELLIPSOID OF EARTH
OLBERG, M
[J]. PURE AND APPLIED GEOPHYSICS, 1971, 85 (02) : 5 - &
[2] On determination of the geoid from measured gradients of the Earth's gravity field potential
Novak, Pavel
Sprlak, Michal
Pitonak, Martin
[J]. EARTH-SCIENCE REVIEWS, 2021, 221
[3] ON A DIRECT METHOD FOR DETERMINING MASS AND GRAVITY CENTER OF ANOMALOUS SPRINGS INSIDE THE EARTH
SOKOLOVSKY, KI
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA B-GEOLOGICHNI KHIMICHNI TA BIOLOGICHNI NAUKI, 1980, (11): : 27 - 29
[4] Energy relations for the motion of two satellites within the gravity field of the earth
Ilk, KH
[J]. GRAVITY GEOID AND GEODYNAMICS 2000, 2002, 123 : 129 - 135
[5] The Earth's Gravity Field Components of the Differences Between Gravity Disturbances and Gravity Anomalies
Tenzer, R.
Ellmann, A.
Novak, P.
Vajda, P.
[J]. OBSERVING OUR CHANGING EARTH, 2009, 133 : 155 - +
[6] Global Gravity Field Modeling of Small Bodies with Heterogeneous Mass Distributions
Wei, Bingwei
Shang, Haibin
[J]. JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2021, 45 (02) : 248 - 261
[7] A formula expressing the deflection of the plumb-line in the gravity anomalies and some formulae for the gravity-field and the gravity-potential outside the geoid
Meinesz, FAV
[J]. PROCEEDINGS OF THE KONINKLIJKE AKADEMIE VAN WETENSCHAPPEN TE AMSTERDAM, 1928, 31 (1/5): : 315 - 331
[8] RELATIONS BETWEEN SOLAR AND INTERPLANETARY MAGNETIC-FIELD DISTRIBUTIONS
BUMBA, V
[J]. BULLETIN OF THE ASTRONOMICAL INSTITUTES OF CZECHOSLOVAKIA, 1976, 27 (03): : 153 - +
[9] On Numerical methods for determination of Earth gravity field model using mass satellite gravity gradiometry data
Zhu Guangbin Chang XiaotaoLi XinfaZhang Xinhang and Li Yuxing Satellite Surveying and Mapping Application CenterNASGBejing China The First Institute of Surveying and Mapping of Hebei ProvinceShijiazhuang China
[J]. GeodesyandGeodynamics., 2012, 3 (01) - 62
[10] On Numerical methods for determination of Earth gravity field model using mass satellite gravity gradiometry data
Zhu Guangbin 1
[J]. Geodesy and Geodynamics, 2012, (01) : 57 - 62

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