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- W1973630265 abstract "The present paper extends the Newtonian concept of the geoid in classic geodesy towards the realm of general relativity by utilizing the covariant geometric methods of the perturbation theory of curved manifolds. It yields a covariant definition of the anomalous (disturbing) gravity potential and formulates differential equation for it in the form of a covariant Laplace equation. The paper also derives the Bruns equation for calculation of geoid's height with full account for relativistic effects beyond the Newtonian approximation. A brief discussion of the relativistic Bruns formula is provided." @default.
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- W1973630265 date "2015-08-01" @default.
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- W1973630265 title "Towards an exact relativistic theory of Earth's geoid undulation" @default.
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- W1973630265 doi "https://doi.org/10.1016/j.physleta.2015.02.046" @default.
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