Abstract
The problem in study consists in approximating the gravitational field of attraction of a celestial body, close to dynamically symmetric, by the attraction field of a set of homogeneous balls. Using a well-known technique, the masses of these balls and the positions of their centers on a straight line are determined. The dimensions of the balls are obtained on the basis of two constraints: the coincidence of volumes and the coincidence of axial moments of inertia. The results are applied to asteroids (2063) Bacchus, (216) Kleopatra, and (433) Eros.
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