Chaotic Motion of an Electrodynamic Tethered Satellite System Under Oblateness Effect in a Circular Orbit
Ahmad, A., Abdelaziz, A., Abd El Naby, A., Abdel-Aziz, Y. (2025). Chaotic Motion of an Electrodynamic Tethered Satellite System Under Oblateness Effect in a Circular Orbit. EKB Journal Management System, 15(2), 182-191. doi: 10.21608/sjdfs.2025.399892.1240
Ahmad Yousof Ahmad; Ahmed magdy Abdelaziz; Abd El Hakeem Abd El Naby; Yehia Ahmed Abdel-Aziz. "Chaotic Motion of an Electrodynamic Tethered Satellite System Under Oblateness Effect in a Circular Orbit". EKB Journal Management System, 15, 2, 2025, 182-191. doi: 10.21608/sjdfs.2025.399892.1240
Ahmad, A., Abdelaziz, A., Abd El Naby, A., Abdel-Aziz, Y. (2025). 'Chaotic Motion of an Electrodynamic Tethered Satellite System Under Oblateness Effect in a Circular Orbit', EKB Journal Management System, 15(2), pp. 182-191. doi: 10.21608/sjdfs.2025.399892.1240
Ahmad, A., Abdelaziz, A., Abd El Naby, A., Abdel-Aziz, Y. Chaotic Motion of an Electrodynamic Tethered Satellite System Under Oblateness Effect in a Circular Orbit. EKB Journal Management System, 2025; 15(2): 182-191. doi: 10.21608/sjdfs.2025.399892.1240

Chaotic Motion of an Electrodynamic Tethered Satellite System Under Oblateness Effect in a Circular Orbit

Scientific Journal for Damietta Faculty of Science
Volume 15, Issue 2, August 2025, Page 182-191  XML PDF (1.17 MB)
Document Type: Original articles
DOI: 10.21608/sjdfs.2025.399892.1240
View on SCiNiTO View on SCiNiTO
Authors
Ahmad Yousof Ahmad email 1; Ahmed magdy Abdelazizorcid 2; Abd El Hakeem Abd El Nabyorcid 3; Yehia Ahmed Abdel-Azizorcid 4
1Mathematics department, faculty of science, Damietta university, new Damietta, Egypt.
2National Research Institute of Astronomy and Geophysics (NRIAG), Cairo, Egypt
3Department of mathematics, Faculty of science, Damietta University, Damietta, Egypt.
4National Research Institute of Astronomy and Geophysics (NRIAG), Cairo, Egypt.
Abstract
This paper investigates the chaotic behavior of an in-plane electrodynamic tethered satellite system (EDTSS) operating in a circular orbit under the influence of Earth's oblateness, represented by the J2 zonal harmonic. The system is modelled using the dumbbell model, consisting of two point masses connected by an inelastic tether. The equations of motion are derived through the Lagrangian formulation, incorporating the effects of the Lorentz force generated by the current interacting with Earth’s magnetic field and the radial acceleration due to the oblateness of Earth. To analyze the conditions under which chaos may arise, the Melnikov method is applied, leading to the identification of a necessary condition for the occurrence of chaotic motion. Based on this condition, the parameter domains that are likely to result in chaotic behavior are determined. To confirm the analytical findings, numerical simulations are conducted and discussed. The results highlight the critical role of the oblateness effect and its interaction with electrodynamic forces in governing the nonlinear dynamics of tethered satellite systems.
Keywords
Chaos; Electromagnetic Force; Melnikov Analysis; Poincaré Section; Tethered Satellite System
Statistics
Article View: 52
PDF Download: 22