Accession Number:

AD0759538

Title:

Three-Dimensional Geodesy and Gravity Gradients,

Descriptive Note:

Corporate Author:

OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE

Personal Author(s):

• Grafarend,Erik

Report Date:

1972-12-01

Pagination or Media Count:

90.0

Abstract:

The report is a foundation of three-dimensional geodesy by means of Nonriemannian differential geometry. Based on the Frobenius integration theorem nonuniqueness, anholonomity or nonintegrability of geodetic measurements in their natural or astronomic reference system are proved. The characteristic Cartan object of anholonomity depends on either the gradients of the geogravity or the gradients of the standard gravity, the vertical deflections and their gradients. The results show the close connection between three-dimensional geodesy and gravity gradients. Author Modified Abstract

Descriptors:

• (*GEODESICS
• NUMERICAL METHODS AND PROCEDURES)
• (*GRAVITY
• MEASUREMENT)
• NUMERICAL INTEGRATION
• DIFFERENTIAL GEOMETRY
• THEOREMS
• TRANSFORMATIONS(MATHEMATICS)
• BOUNDARY VALUE PROBLEMS

Subject Categories:

• Geodesy

Distribution Statement:

APPROVED FOR PUBLIC RELEASE