We compare two different types of data for two long-lived eddies in the Australian - Antarctic basin. These are sea level anomaly data from the Copernicus Marine Environment Monitoring Service portal and dataset from portal Mesoscale Eddies in Altimeter Observations of SSH obtained via automated eddy identification procedure. Using altimetry data from the Copernicus Marine Environment Monitoring Service, we calculate phase velocities of the Rossby waves basing on long-wave approximation. We also calculate empirical velocities from the Hovmöller diagrams using Radon method and velocities of eddies provided by Mesoscale Eddies in Altimeter Observations of SSH. The empirical velocity estimates are shown to be slightly higher than velocity estimates predicted by the Rossby wave theory, but they are significantly lower than velocities of mesoscale eddies calculated from the dataset of Mesoscale Eddies in Altimeter Observations of SSH. Temporal variability of physical characteristics of the observed eddies are analyzed, such as amplitude, rotation speed, drift speed, lifetime, radius, and parameter of nonlinearity. Temporal variability of eddy physical characteristics are proved very changeable and the extremum values can be twice to thrice the mean values.