Kojima, H. and Sugimoto, T. (2009) Stability Analysis of In-Plane and Out-of-Plane Periodic Motions of Electrodynamic Tether System in Inclined Elliptic Orbit. Acta Astronautica, 65, 477-488.
https://doi.org/10.1016/j.actaastro.2009.02.006

has been cited by the following article:

• TITLE: Sliding Mode Control of Chaotic Motion in Electrodynamic Tethered Satellite System in an Inclined Elliptical Plane

  AUTHORS: Ahmad Yousof Ahmad Taha, Ahmed Magdy Abdelaziz, Abd El Hakeem Abd El Naby, Yehia A. Abdel-Aziz

  KEYWORDS: Chaos, Electromagnetic Force, Melnikov Analysis, Poincaré Section, Sliding Mode Control, Tethered Satellite System

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.5, May 26, 2025

  ABSTRACT: This paper investigates the chaotic behavior of an electrodynamic tethered satellite system (ETSS) orbiting Earth in an inclined elliptical orbit. The system is modelled using a dumbbell model. The presence of chaos is established through the computation of transversal heteroclinic orbits, and the corresponding parameter domain for chaotic motion is determined using the Melnikov function. A tether length control strategy based on sliding mode control is proposed to suppress the chaotic motion. Finally, numerical simulations are presented to validate the occurrence of chaos within the identified parameter domain and its control.