Point-mass models and their application in the orbital method of satellite geodesy. I - Description of the global gravitational field of the earth by a system of point-mass potentials

Details Point-mass models and their application in the orbital method of satellite geodesy. I - Description of the global gravitational field of the earth by a system of point-mass potentials Point-mass models and their application in the orbital method of satellite geodesy. I - Description of the global gravitational field of the earth by a system of point-mass potentials

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985kfnt....1...53m&link_type=abstract

Kinematika i Fizika Nebesnykh Tel (ISSN 0233-7665), vol. 1, July-Aug. 1985, p. 53-61. In Russian.

Astronomy and Astrophysics

Astronomy

Astronomical Models, Conjugate Points, Earth Gravitation, Geodetic Satellites, Geopotential, Mass Distribution, Geodesy, Geoids, Gravitational Fields, Planetary Gravitation

Scientific paper

The problem of simulating the gravitational potential of a planet by the potential of a system of ordinary and conjugate point masses is considered. This ill-posed problem is reduced to a problem of nonlinear programming with Tikhonov regularization. A stabilizing factor is chosen according to the smoothness of the gravitational field, whose model can be used to describe the motion of geodetic and geodynamic satellites. As an example, sets of point masses are obtained for the reconstruction of the field of the GEM-12 harmonics and for the description of geoid height on the basis of GEOS-3 altimeter data.

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