Chaotic attitude motion of a magnetic rigid spacecraft

Li Qun Chen; Yan Zhu Liu

doi:10.1007/bf02439623

Chaotic attitude motion of a magnetic rigid spacecraft

Li Qun Chen^*
, Yan Zhu Liu

^*Corresponding author for this work

Shanghai University
Shanghai Jiao Tong University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Chaotic attitude motion of a magnetic rigid spacecraft in a circular orbit of the earth is treated. The dynamical model of the problem was derived from the law of moment of momentum. The Melnikov analysis was carried out to prove the existence of a complicated nonwandering Cantor set. The dynamical behaviors were numerically investigated by means of time history, Poincare map, power spectrum and Liapunov exponents. Numerical simulations indicate that the onset of chaos is characterized by break of torus as the increase of the torque of the magnetic forces.

Original language	English
Pages (from-to)	434-440
Number of pages	7
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	24
Issue number	4
DOIs	https://doi.org/10.1007/bf02439623
State	Published - Apr 2003
Externally published	Yes

Keywords

Chaos
Melnikov's method
Numerical simulation
Spacecraft attitude dynamics

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10.1007/bf02439623

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abstract = "Chaotic attitude motion of a magnetic rigid spacecraft in a circular orbit of the earth is treated. The dynamical model of the problem was derived from the law of moment of momentum. The Melnikov analysis was carried out to prove the existence of a complicated nonwandering Cantor set. The dynamical behaviors were numerically investigated by means of time history, Poincare map, power spectrum and Liapunov exponents. Numerical simulations indicate that the onset of chaos is characterized by break of torus as the increase of the torque of the magnetic forces.",

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author = "Chen, \{Li Qun\} and Liu, \{Yan Zhu\}",

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AB - Chaotic attitude motion of a magnetic rigid spacecraft in a circular orbit of the earth is treated. The dynamical model of the problem was derived from the law of moment of momentum. The Melnikov analysis was carried out to prove the existence of a complicated nonwandering Cantor set. The dynamical behaviors were numerically investigated by means of time history, Poincare map, power spectrum and Liapunov exponents. Numerical simulations indicate that the onset of chaos is characterized by break of torus as the increase of the torque of the magnetic forces.

KW - Chaos

KW - Melnikov's method

KW - Numerical simulation

KW - Spacecraft attitude dynamics

UR - https://www.scopus.com/pages/publications/0042026641

U2 - 10.1007/bf02439623

DO - 10.1007/bf02439623

M3 - 文章

AN - SCOPUS:0042026641

SN - 0253-4827

VL - 24

SP - 434

EP - 440

JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 4

ER -

Chaotic attitude motion of a magnetic rigid spacecraft

Abstract

Keywords

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