Construction of a system of point masses representing the gravitational field of the planet on the basis of satellite observations. I - An algorithm derivation

Details Construction of a system of point masses representing the gravitational field of the planet on the basis of satellite observations. I - An algorithm derivation Construction of a system of point masses representing the gravitational field of the planet on the basis of satellite observations. I - An algorithm derivation

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984velen.......76p&link_type=abstract

Leningradskii Universitet, Vestnik, Matematika, Mekhanika, Astronomiia (ISSN 0024-0850), April 1984, p. 76-86. In Russian.

Physics

Geophysics

Earth (Planet), Earth Gravitation, Geophysics, Geopotential, Gravitational Fields, Planetary Gravitation, Algorithms, Differential Equations, Matrices (Mathematics), Variational Principles, Vector Analysis

Scientific paper

An algorithm is presented for refining the point masses representing the gravitational field of the earth. The measured quantities used are the oblique distance and its rate of change; a calculation of the matrix elements of the conditional equations is reduced to solving variational equations. The uniqueness of a potential containing complex parameters is investigated.

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