Chaotic attitude motion of a magnetic rigid spacecraft in a circular orbit near the equatorial plane
type: Item
instance of: scholarly article
title: Chaotic attitude motion of a magnetic rigid spacecraft in a circular orbit near the equatorial plane
zbMATH Open document ID: 1068.70026
DOI: 10.1016/S0016-0032(02)00017-0
author: Gong Cheng
author: Li-Qun Chen
author: Yan-Zhu Liu
published in: Journal of the Franklin Institute
publication date: 2002-12-02T00:00:00Z
review text: The authors study the chaotic attitude motion of a magnetic rigid spacecraft in a circular orbit near the equatorial plane of the Earth. Melnikov analysis is carried out to prove the existence of a complicated nonwandering Cantor set. The dynamical behavior is investigated numerically by means of time history, Poincaré map, power spectrum and Lyapunov exponents. Numerical simulations indicate that the onset of chaos is characterized by the break of torus as the torque of magnetic force is increased.
Mathematics Subject Classification ID: 70M20
zbMATH DE Number: 1839094
zbMATH Keywords: Melnikov analysis
zbMATH Keywords: existence
zbMATH Keywords: Cantor set
reviewed by: Yoshihide Kozai
MaRDI profile type: Publication
cites work: Q3994897
cites work: Determining Lyapunov exponents from a time series
full work available at URL: s0016-0032(02)00017-0
OpenAlex ID: W2098397070
description: scientific article; zbMATH DE number 1839094