Free-Air Gravity Anomalies Caused by the Gravitational Attraction of Topographic, Bathymetric Features, and Their Isostatic Compensating Masses And Corresponding Geoid Undulations

  1. Hyman Orlin
  1. Lassi A. Kivioja and
  2. Albert D. M. Lewis

Published Online: 18 MAR 2013

DOI: 10.1029/GM009p0089

Gravity Anomalies: Unsurveyed Areas

Gravity Anomalies: Unsurveyed Areas

How to Cite

Kivioja, L. A. and Lewis, A. D. M. (1966) Free-Air Gravity Anomalies Caused by the Gravitational Attraction of Topographic, Bathymetric Features, and Their Isostatic Compensating Masses And Corresponding Geoid Undulations, in Gravity Anomalies: Unsurveyed Areas (ed H. Orlin), American Geophysical Union, Washington, D.C.. doi: 10.1029/GM009p0089

Author Information

  1. School of Civil Engineering, Purdue University, Lafayette, Indiana

Publication History

  1. Published Online: 18 MAR 2013
  2. Published Print: 1 JAN 1966

ISBN Information

Print ISBN: 9780875900094

Online ISBN: 9781118664018

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Keywords:

  • Bathymetric masses;
  • Free-air gravity anomalies;
  • Geoid Undulations;
  • Gravitational attraction;
  • Isostatic compensating masses;
  • Topographic masses

Summary

Mean elevations and depths of all even 5°-by-5° surface elements and their corresponding isostatic compensating masses in the Airy-Heiskanen, T = 30 km, isostatic system together with the published gravity information were used to compute mean free-air anomalies for all 2592 5°-by-5° surface elements covering the entire surface of the Earth. By using these free-air anomalies, geoid undulations were computed by the Stokes formula at every 5°-by-5° surface element, and the corresponding global map is given. Another similar computation by the Stokes formula was performed by using all published 5°-by-5° free-air anomalies based on actual gravity measurements and on the international gravity formula wherever available and by filling in all empty areas by the computed anomalies. The corresponding global geoidal map is given.