ON THE SOLVABILITY OF DOWNWARD CONTINUATION PROBLEM IN GEOID COMPUTATIONS WITHOUT APPLYING STOKES FORMULA

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SAFARI ABD ALREZA; ALAH TAVAKOLI Y.

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Journal: Year:2008 | Volume:42 | Issue:3 (113) Page(s): 339-352

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Title

ON THE SOLVABILITY OF DOWNWARD CONTINUATION PROBLEM IN GEOID COMPUTATIONS WITHOUT APPLYING STOKES FORMULA

Author(s)

SAFARI ABD ALREZA | ALAH TAVAKOLI Y. | Issue Writer Certificate

Keywords

DOWNWARD CONTINUATION PROBLEMQ3

GEOID DETERMINATIONQ3

ILL POSED PROBLEMQ3

PICARD CONDITIONQ3

Abstract

The problem of downward continuation of the gravity field from the Earth’s surface to the reference ellipsoid arises from the fact that the solution to the boundary value problem for GEOID DETERMINATION without applying Stokes formula is sought in terms of the disturbing potential on the ellipsoid but the gravity observations are only available on the Earth’s surface. Downward continuation is achieved via Abel-Poisson integral and its derivatives. Before solving DOWNWARD CONTINUATION PROBLEM it should be checked the solvability of the problem. The solvability of the problem is guarantied if PICARD CONDITION is satisfied. The topic of this paper is the study of solvability of DOWNWARD CONTINUATION PROBLEM via PICARD CONDITION.

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APA: Copy

SAFARI, ABD ALREZA, & ALAH TAVAKOLI, Y.. (2008). ON THE SOLVABILITY OF DOWNWARD CONTINUATION PROBLEM IN GEOID COMPUTATIONS WITHOUT APPLYING STOKES FORMULA. JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN), 42(3 (113)), 339-352. SID. https://sid.ir/paper/14234/en

Vancouver: Copy

SAFARI ABD ALREZA, ALAH TAVAKOLI Y.. ON THE SOLVABILITY OF DOWNWARD CONTINUATION PROBLEM IN GEOID COMPUTATIONS WITHOUT APPLYING STOKES FORMULA. JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN)[Internet]. 2008;42(3 (113)):339-352. Available from: https://sid.ir/paper/14234/en

IEEE: Copy

ABD ALREZA SAFARI, and Y. ALAH TAVAKOLI, “ON THE SOLVABILITY OF DOWNWARD CONTINUATION PROBLEM IN GEOID COMPUTATIONS WITHOUT APPLYING STOKES FORMULA,” JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN), vol. 42, no. 3 (113), pp. 339–352, 2008, [Online]. Available: https://sid.ir/paper/14234/en

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