Comment on the Spin Precession of the Schiff Satellite in the Brans-Dicke Theory

It is noted that the two versions of the Brans-Dicke (BD) theory yield different results for the de Sitter precession ${\mathbf{\Omega }}_{\mathrm{DS}}$ of an orbiting gyroscope, while the Lense-Thirring precession ${\mathbf{\Omega }}_{\mathrm{LT}}$ is unchanged, thus making the results unit dependent. This apparent inconsistency is resolved by showing that there exists a third term ${\mathbf{\Omega }}_{\phi }$ which arises from an anomalous scalar force term in the equations of motion. This latter term naturally combines with ${\mathbf{\Omega }}_{\mathrm{DS}}$ to make their sum independent of units, and agrees with previously published results.