  We discuss Global Static Spherically Symmetric space-time models of mass $m$
with regular sources at the origin and asymptotically Minkowskian behavior at
infinity; the interior model and the exterior one being matched at the radius
$R$ of the source in the sense of Lichnerowicz. The global models depend in
general on $R$ through a function $Q$ of $m$ and $R$. Although $R$ would be an
spurious parameter if the exterior model was considered alone, it becomes
intrinsic for the global model. The physical implication is that $R$ as well as
$m$ determine, at some order of approximation, the dynamics of orbiting objects
or viceversa that this dynamics puts conditions on the physical state of the
source.
