LOCAL BIFURCATION IN TORQUE FREE RIGID BODY MOTION

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SHIRAZI K.H.; GHAFARI SAADAT M.H.

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Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING Year:2003 | Volume:27 | Issue:B3 Page(s): 493-506

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Information Journal Paper

Title

LOCAL BIFURCATION IN TORQUE FREE RIGID BODY MOTION

Author(s)

SHIRAZI K.H. | GHAFARI SAADAT M.H.

Keywords

NONLINEAR DYNAMICS

RIGID BODY TORQUE FREE MOTION

BIFURCATION

POINCARÉ MAP

HOMOCLINIC ORBIT

. HETEROCLINIC ORBIT

Abstract

Local BIFURCATION of the attitudinal dynamics of the torque free rigid body motion
is discussed. Hamiltonian formalism is used to express equations of motion. To simplify
attitudinal dynamics of a rigid body, six dimensional state space is reduced to a two
dimensional one by Andoyer canonical transformation. Non-dimensional parameters of the
system are defined and the effects of change in these parameters on the structural stability and
the equilibrium points of the reduced space are discussed. The Poincaré surface of the section
in the reduced phase space an. HETEROCLINIC ORBITs are derived. Based on the non-dimensional
parameters of the system, two and three dimensional BIFURCATION diagrams are achieved. This
study shows that various types of structural stability can be achieved for torque free rigid
body attitudinal dynamics by changing relative magnitudes of the principal moments of
inertia. These results are helpful when the chaotic behavior of a rigid body under perturbation
is considered.

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APA: Copy

SHIRAZI, K.H., & GHAFARI SAADAT, M.H.. (2003). LOCAL BIFURCATION IN TORQUE FREE RIGID BODY MOTION. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING, 27(B3), 493-506. SID. https://sid.ir/paper/527741/en

Vancouver: Copy

SHIRAZI K.H., GHAFARI SAADAT M.H.. LOCAL BIFURCATION IN TORQUE FREE RIGID BODY MOTION. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING[Internet]. 2003;27(B3):493-506. Available from: https://sid.ir/paper/527741/en

IEEE: Copy

K.H. SHIRAZI, and M.H. GHAFARI SAADAT, “LOCAL BIFURCATION IN TORQUE FREE RIGID BODY MOTION,” IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING, vol. 27, no. B3, pp. 493–506, 2003, [Online]. Available: https://sid.ir/paper/527741/en

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