The Localized Interaction Theory (LIT) embraces various physical models of the influence of the environment on the moving body, which are grouped by the justice of the postulate that the influence of the environment on each body point is independent. By the end of the 1960s, the LIT has become a specific branch of physics and mechanics, and this development is characterized both by integrating results obtained for different models and by appearance of universal methods that can be applied to many models. This monograph discusses the LIT using the above approaches.