Calculation of the external gravity anomalies and deflections of the vertical at higher elevations by means of Taylor expansions from the geoid
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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.]
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Prepared for Geophysics Research Directorate, Air Force Cambridge Research Center, Air Research and Development Command, United States Air Force, Bedford, Massachusetts: Contract No. AF 19(604)-1963 (OSURF Project 716)
Prepared for Development Operations Division, Army Ballistic Missile Agency, U.S. Army Ordnance Corps, Huntsville, Alabama: Contract No. DA-33-019-0RD-2686, Order - Gr. No. 160/2686 (OSURF Project No. 833)