On the Predictive Capability of Dynamic Mode Decomposition for Nonlinear Periodic Systems with Focus on Orbital Mechanics
Systems and Control
2026-02-26 v1 Systems and Control
Abstract
This paper discusses the predictive capability of Dynamic Mode Decomposition (DMD) in the context of orbital mechanics. The focus is specifically on the Hankel variant of DMD which uses a stacked set of time-delayed observations for system identification and subsequent prediction. A theory on the minimum number of time delays required for accurate reconstruction of periodic trajectories of nonlinear systems is presented and corroborated using experimental analysis. In addition, the window size for training and prediction regions, respectively, is presented. The need for a meticulous approach while using DMD is emphasized by drawing comparisons between its performance on two candidate satellites, the ISS and MOLNIYA-3-50.
Keywords
Cite
@article{arxiv.2401.13784,
title = {On the Predictive Capability of Dynamic Mode Decomposition for Nonlinear Periodic Systems with Focus on Orbital Mechanics},
author = {Sriram Narayanan and Mohamed Naveed Gul Mohamed and Indranil Nayak and Suman Chakravorty and Mrinal Kumar},
journal= {arXiv preprint arXiv:2401.13784},
year = {2026}
}