A new method is proposed for tracking fluorescing single molecules diffusin
g within a two-dimensional membrane. It is based on a confocal microscopy s
etup with a constantly rotating laser focus, which follows the position of
the molecule. The optimization and efficiency of the method are theoretical
ly studied for a broad range of experimentally realistic conditions. The pr
oposed method allows for a long-time observation of diffusing molecules whi
le allowing the application of fast spectroscopic techniques such as fluore
scence decay time determination or fluorescence anisotropy measurements.