In the present article we first described the concept of effective rotation potential (ERP) – the analog of well-known pseudopotential for the case of a charged diatomic particle model localization in the 2D quadrupole RF trap. We have shown that ERP can be used for describing dynamic of wide range specific charged diatomic-like particles with separate centers of masses and charges. We have compared the result of pseudopotential-averaging for single ion localization and ERP-averaging for diatomic-like charge structure and obtained additional quasi-equilibrium points both for the center of masses motion (COM) and for angle orientation. The additional quasi-equilibrium points strongly influence on dynamics and mass-selective characteristics of diatomic-like charge structure at the case of localization in a quadrupole ion trap.