  The bounded orbital motion of a massive spinless test particle in the
background of a Kerr Brans-Dicke geometry is analysed in terms of worldlines
that are auto-parallels of different metric compatible spacetime connections.
In one case the connection is that of Levi-Civita with zero-torsion. In the
second case the connection has torsion determined by the gradient of the
Brans-Dicke background scalar field. The calculations permit in principle to
discriminate between these possibilities.
