  The existence of static self-gravitating Newtonian elastic balls is proved
under general assumptions on the constitutive equations of the elastic
material. The proof uses methods from the theory of finite-dimensional
dynamical systems and the Euler formulation of elasticity theory for
spherically symmetric bodies introduced recently by the authors. Examples of
elastic materials covered by the results of this paper are Saint
Venant-Kirchhoff, John and Hadamard materials.
