Initial Conditions

Mixing absolute and normalised positions is possible, in this case the results are added. Initial conditions $Z$ in unnormalised phase space are related to the closed orbit and the absolute and normalised coordinates as follows:

$$\begin{array}{rcl} Z = Z_{co}&+& \sqrt{E_x} \hbox{\tt FX} ... ...cos \hbox{\tt PHIT} + \Im V_k \sin \hbox{\tt PHIT}) \end{array}$$

where $Z_{co}$ is the closed orbit vector, and $Z$ is the vector

$$Z = (\texttt{X,PX,Y,PY,T,PT})^T,$$

and $\Re V_k$ and $\Im V_k$ are the real and imaginary parts of the $k^{th}$ eigenvector, which are computed in the TRACK command.