Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985rpspr.......23t&link_type=abstract
In its USSR Rept.: Space (JPRS-USP-85-003) p 23 (SEE N85-25284 15-12) Transl. into ENGLISH from Pisma v Astronomicheskiy Zh.
Astronomy and Astrophysics
Astronomy
Approximation, Atmospheric Models, Differential Equations, Earth Gravitation, Gravitational Fields, Geopotential, Numerical Integration, Standard Deviation
Scientific paper
Use of a multipoint form of representation of gravity potential has significant advantages in numerical integration of the differential equations of motion of a space vehicle near a planet. However, the traditional approach for determining the parameters of a model of point masses (MPM) is ineffective in constructing detailed and precise multipoint potential models. A model based on determination of the anomalous masses of spherical pyramids obtained by dividing the body of a planet and their replacement by point masses situated at different depths at the centers of the bases of the pyramids is proposed. The method makes it possible to determine the parameters of a sufficiently large number of point masses and obtain a solution close to the optimum with the required accuracy. The proposed method was tested by constructing a model of 288 point masses uniformly approximately the Earth's gravity field. The initial information used was 18 harmonic coefficients in the GEM 10 B geopotential model. The Earth was broken down into pyramids using a uniform 15 deg geographic grid.
Tserklevich A. L.
Volzhanin S. D.
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