Trajectory equations for a non-conservative natural system

2024/10/08 by V. V. Voytik, Voytik, V. · 1 citation
Engineering · Physics and Astronomy · #Elasticity and Wave Propagation #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2410.05682

openalex publication_date 2024/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of the article is to derive equations that determine the trajectory of a non-conservative natural system in configuration space in non-stationary external fields. A theorem on the change in the kinetic energy of the system is preliminarily proved. Lagrange equations are used to derive the equations. The derived equations can be solved numerically by the Runge-Kutta method of the 4th order. The trajectory equations together with the equality describing its parameterization form the trajectory method for solving dynamics problems.

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