Abstract
A minimal element, mother body, for a family of bodies producing the same external gravitational field is the body in the family, whose support has Lebesgue measure zero and satisfies some additional requirements. The finite algorithm of constructing mother bodies in
Acknowledgments
We are grateful to Harold Shapiro, who attracted our attention to this problem and to Björn Gustafsson who had acquainted us with the preprint of his interesting article Citation[9].
Notes
From now on we do not distinguish the function V(x, y) and its continuation
The derivative