Kinematical geodesy
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Date
1967-11
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Publisher
Ohio State University. Division of Geodetic Science
Abstract
With the use of moving instruments, such as airborne gravimeters, which are often related to precise inertial stabilization systems, the essentially statical character of geodesy begins to be enlarged by kinematical features. The potential of gravity, combining gravitational attraction and centrifugal force, is no longer adequate for kinematics, but other inertial forces of Coriolis type must also be considered. The main purpose of the present paper is an investigation of the geodetic aspects of the interrelation of gravitational and inertial forces and their separation by means of structural differences in their respective fields. For a deeper insight, the general theory of relativity is indispensable; it also furnishes convenient mathematical techniques. The extraction of purely gravitational effects is possible with second and third derivatives of the potential; therefore geodetic applications of these quantities are discussed, integral formulas similar to Stokes' integral being given for this purpose.
Description
Prepared for Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, Bedford, Massachusetts: Contract No. AF19(628)-5701, Project 7600, Task No. 760002, 04