  We consider the motion of a small rigid object immersed in a viscous
compressible fluid in the 3-dimensional Eucleidean space. Assuming the object
is a ball of a small radius $\varepsilon$ we show that the behavior of the
fluid is not influenced by the object in the asymptotic limit $\varepsilon \to
0$. The result holds for the isentropic pressure law $p(\varrho) = a
\varrho^\gamma$ for any $\gamma > \frac{3}{2}$ under mild assumptions
concerning the rigid body density. In particular, the latter may be bounded as
soon as $\gamma > 3$.
  The proof uses a new method of construction of the test functions in the weak
formulation of the problem, and, in particular, a new form of the so-called
Bogovskii operator.
