Calculation of the external gravity anomalies and deflections of the vertical at higher elevations by means of Taylor expansions from the geoid

Abstract

This paper is a continuation of the author's paper, "On the Practical Solution of the Boundary Value Problem of Physical Geodesy," using the gravity anomalies ∆g and the undulation values N at the sea level and expanding the disturbing potential T, the gravity anomaly ∆g and the deflection of the vertical components ξ and η in Taylor series of the altitude h. These formulas give the quantities Th, ∆gh, ξh, and ηh at the elevations not exceeding 150 km. [Some mathematical expressions are not fully represented in the metadata. Full text of abstract available in document.]