Abstract: In this talk the results of my student research project will be presented. Following the results of my bachelor's thesis, namely discovery of explicitly time dependent constants of motion (CoMs) in some conservative superintegrable systems, the project focuses on their meaning and utilization. In the talk, I will briefly review geometrical formulation of time dependent Hamiltonian mechanics and subsequently look in detail on three systems exhibiting time dependent CoMs, namely non–isotropic harmonic oscillator and two systems from A. Marchesiello, L. Šnobl, J. Phys. A: Math. Theor. 50, 245202 (2017).