Among the small Solar System bodies, there are also free-precessing asteroids and cometary nuclei. Their light curves are more complex than those of ordinary asteroids and thus pose a challenge to derive parameters describing the asteroid's or comet's rotation and dynamical properties. In this thesis, the student will focus on the analysis of synthetic light curves of tumblers of varying quality simulating real photometric observations at different geometries. He/she will use the Lomb-Scargle periodogram corrected for observational aliasing, fit the light curve using genetic algorithms, and compare the found periods with the real ones. They will also compare the effectiveness of the approach with the brute force method.