On simplified models for dynamics of pointlike objects

Abstract

Since physical theories employ mathematical models to describe and predict physical phenomena, our knowledge depends on the models available to that end. To increase their scope we present a particular type of simplified models, serial models. Using the first few terms of a Taylor series, these models provide some information about difficult and complex problems. In this paper, they describe the long-term dynamics of a special type of rigid bodies at small and slowly changing external forces.