Studia Geophysica et Geodaetica

, Volume 29, Issue 4, pp 326–338 | Cite as

Approximate solutions of the surface mass loading of a spherical Earth model

  • Antonín Zeman
  • Z. Martinů
Article
Received:
  • 20 Downloads

Summary

Simple linear representation of the components of an approximate plane solution of point mass loading of the Earth's surface in a conveniently chosen coordinate system leads to selection of a 2nd-degree curve which is the best fit of the spherical solution for the given Earth model. The new approximate solution, which, analogously to the plane solution, can be called a parabolic solution, enables the simple input parameters of the plane solution to be used also for substantially larger angular distances. The comparison with the spherical solution is carried out by computing the effects of the M2-wave of ocean tides. The results of the computations for the tidal station Brussels prove the two solutions to be in sufficient agreement for global problems as well.

Keywords

Approximate Solution Structural Geology Linear Representation Earth Model Point Mass 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Резюме

Просmое nрямолuнеŭное uзобрaженuе слa
aемых nрuблuзumельно
о nлоскосmново решенuя mочечноŭ вещесmвенноŭ нa
рузкu nоверхносmu Землu в nо¶rt;хо¶rt;ящеŭ сuсmеме коор¶rt;uнam ве¶rt;еm к выбору maкоŭ крuвоŭ вmороŭ сmеnенu, коmорaя нauлучшuм обрaзом nо¶rt;хо¶rt;um к сферuческому решенuю ¶rt;ля ¶rt;aнноŭ мо¶rt;елu Землu. Новое nрuблuзumельное решенuе, коmорое можно nо aнaло
uu к nлоскосmному решенuю нaзвamь naрaболuческuм решенuем, nозволяеm uсnользовamь nросmые вво¶rt;ные ¶rt;aнные nлоскосmно
о решенuя ¶rt;aже ¶rt;ля сущесmвенно большuх у
ловых рaссmоянuŭ. Срaвненuе с сферuческuм решенuем осущесmвлено вычuсленuем влuянuŭ волны М2 морскuх nрuлuвов. Резульmamы вычuсленuŭ ¶rt; ля nрuлuвноŭ сmaнцuu Брюссель ¶rt;окaзывaюm у¶rt;овлеmворumельное со
лaсuе обоuх решенuŭ ¶rt;aже ¶rt;ля
лобaльных зa¶rt;aч.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© ACADEMIA, Publishing House of the Czechoslovak Academy of Sciences 1985

Authors and Affiliations

  • Antonín Zeman
    • 1
  • Z. Martinů
  1. 1.Research Institute of Geodesy, Topography and CartographyZdiby

Personalised recommendations