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A Note on Ellipsoidal Shape and Gravitational Potential First Order Relationships in Planetary Geodesy Cover

A Note on Ellipsoidal Shape and Gravitational Potential First Order Relationships in Planetary Geodesy

By: G. Balmino  
Open Access
|Jun 2008

Abstract

We generalize the basic first order Clairaut formula to the case of a triaxial ellipsoid subject to rotational and tidal deformations from another body. We also prove and put together some relationships involving the gravitational static harmonics and the secular Love number of degree two, which are of wide use in planetary geodesy though difficult to find in textbooks.

DOI: https://doi.org/10.2478/v10018-008-0006-z | Journal eISSN: 2083-6104 | Journal ISSN: 1509-3859
Language: English
Page range: 141 - 147
Published on: Jun 23, 2008
Published by: Polish Academy of Sciences, Space Research Centre
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2008 G. Balmino, published by Polish Academy of Sciences, Space Research Centre
This work is licensed under the Creative Commons License.

Volume 42 (2007): Issue 3 (September 2007)