Statistics – Computation
Scientific paper
Feb 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989izpse..24..551s&link_type=abstract
Izv. Acad. Sci. USSR, Phys. Solid Earth, Vol. 24, No. 7, p. 551 - 561
Statistics
Computation
Planets: Gravitation, Moon: Gravitation, Moon: Mascons
Scientific paper
The direct gravimetric problem for a body inhomogeneous in a radial direction and bounded by spherical coordinate surfaces was formulated for the radial acceleration Vl. A cubature process based on use of quadrature formulas of the Gauss-Legendre type, optimal with respect to accuracy and computation speed, was developed for numerical solution of the problem. The inverse linear gravimetric problem was formulated for Vl on spherical bodies and a stable algorithm for its solution is indicated. The performance of the proposed method is illustrated in the example of interpretation of the field of radial accelerations of Mare Nectaris mascon on the Moon. The method is intended for study of the deep structure of planets and natural satellites with allowance for their sphericity on the basis of the Vl gravity field.
Manukyan A. G.
Starostenko V. I.
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