Modified Stokes's Formula for Regional Geoid Modeling

Deterministic and Stochastic Modifications of Stokes's Formula for Computing an Improved Geoid Model over the Baltic Countries

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ISBN/EAN: 9783639128192
Sprache: Englisch
Umfang: 124 S.
Format (T/L/B): 0.7 x 22 x 15 cm
Auflage: 1. Auflage 2009
Einband: kartoniertes Buch


The geoid is an equipotential surface of the Earth's gravity field that nearly coincides with the mean sea level. In regional geoid determination it has become customary to utilize a modified Stokes formula, which combines local terrestrial data with an appropriate global geopotential model. Two distinct modification classes - deterministic and stochastic, exist. Both approaches aim at reducing the truncation bias which occurs due to neglecting the farzone integration. In addition the stochastic methods also attempt to reduce the data errors in geoid modeling. This book presents principles of highresolution geoid modeling for the three Baltic countries Estonia, Latvia and Lithuania. Six modification methods are studied and tested numerically. Even though emphasis is on one specific region, it is the intention of this book to present comprehensive guidelines of the applied methods that can be utilized in any given region worldwide. This book can be used as complementary text to graduate level courses in the discipline of physical geodesy. Researchers primarily interested in regional geoid modeling may also be interested in this book.


Artu Ellmann holds a PhD degree in geodesy (2004) from Royal Institute of Technology (KTH) in Stockholm. In 2004-2006 he was a research fellow at University of New Brunswick, Canada. He is presently Head of the Chair of Geodesy at Tallinn University of Technology, Estonia. His research interests are physical geodesy and geoid modeling.