Computer Science – Numerical Analysis
Scientific paper
Oct 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974azh....51.1072b&link_type=abstract
Astronomicheskii Zhurnal, vol. 51, Sept.-Oct. 1974, p. 1072-1078. In Russian.
Computer Science
Numerical Analysis
Functionals, Gravitational Fields, Lunar Gravitation, Numerical Analysis, Planetary Mass, Potential Gradients, Acceleration (Physics), Hilbert Space, Integral Equations, Mass Distribution, Minima, Orbital Velocity, Spherical Harmonics
Scientific paper
From known values of radial accelerations and of the potential difference between open surfaces and points in outer space, the gradient method is used to determine radial accelerations and the density of a simple layer on the sphere. A functional is introduced and its properties are proved which permit the use of the conditional gradient method for minimization of the functional on a strongly convex domain. It is found that the minimizing sequence converges to a singular limit at a geometric progression rate.
Brovar V. V.
Ganifaeva N. G.
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