  We study the precession of perihelia in the Fisher metric. Fisher metric is
the solution of the Einstein's Equations with a massless scalar field as a
coupling. We find an expression for the precession of perihelia in this metric.
This expression contains general relativistic term for the precession of the
perihelia and also an additional term which depends on the scalar field. Also,
we obtain an upper bound on scalar charge $\sigma$ by using the observational
value of the precession of perihelia for the Mercury planet and the discrepancy
between this value and the general relativistic value.
