On simplified models for dynamics of pointlike objects

TL;DR

This paper introduces serial simplified models based on Taylor series to analyze the long-term dynamics of specific rigid bodies under small, slowly varying external forces, expanding the tools for physical modeling.

Contribution

It presents a novel class of serial models that use Taylor series to simplify and analyze complex dynamical systems of rigid bodies.

Findings

Models effectively describe long-term dynamics

Applicable to small, slowly changing external forces

Provides a new approach for physical modeling

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.