A study of ion oscillations in the annular regions of a strontium plasma is reported. An ultracold neutral plasma is formed by photoionizing the 1 P 1 electrons using a pulsed dye laser' and absorption spectroscopy is done on the 2 S ½ - 2 P ½ transition of the Sr+ ion. The kinetic energy of the ions is then calculated using Doppler broadening of the spectrum. The variation of temperature with time is fit to a theoretical model of kinetic energy oscillation. The result of the fitting is presented in this thesis. The importance of an annular analysis of the absorption spectrum is demonstrated and the mathematical procedures employed to calculate the kinetic energy are developed. The oscillations are observed to be damped which is a characteristic of strongly coupled plasmas.