We define a large sample of galaxies for use in a study of the fundamental
plane in the intermediate redshift cluster CL1358+62 at z=0.33. We have
analyzed high resolution spectra for 55 members of the cluster. The data were
acquired with the Low Resolution Imaging Spectrograph on the Keck I 10m
telescope. A new algorithm for measuring velocity dispersions is presented and
used to measure the internal kinematics of the galaxies. This algorithm has
been tested against the Fourier Fitting method so the data presented here can
be compared with those measured previously in nearby galaxies. We have measured
central velocity dispersions suitable for use in a fundamental plane analysis.
The data have high S/N and the resulting random errors on the dispersions are
very low, typically <5. Uncertainties due to mismatch of the stellar
templates has been minimized through several tests and the total systematic
error is of order \about 5%. Good seeing enabled us to measure velocity
dispersion profiles and rotation curves for most of the sample and although a
large fraction of the galaxies display a high level of rotation, the gradients
of the total second moment of the kinematics are all very regular and similar
to those in nearby galaxies. We conclude that the data therefore can be
reliably corrected for aperture size in a manner consistent with nearby galaxy
samples.Comment: 30 pages, 13 figures; for publication in the ApJ (accepted on 23
August 1999