  We will introduce a new method to derive the orbital elements of the
spectroscopic binary stars. Fitting the adopted radial velocity curves on the
measured experimental data, the corresponding radial acceleration data are
obtained. The orbital parameters are estimated by the nonlinear least squares
of the radial velocity-acceleration curves. This method is implemented for the
three double line spectroscopic binary systems RZ CAS, CC Cas and V1130 Tau.
Numerical calculations show that the result are in good agreement with the
those obtained by others using the method of Lehmann-Filh\'{e}s.
