The Conversion of Rigid-Body Rotational Dynamics to Particle Dynamics

In this paper we present a new method that converts rigid-body rotational motion to particle translational motion in a high-dimensional space. The inertial terms in the equations of rigid-body rotational motion are nonlinear in nature, while those in the equations of particle motion are linear. Ther...

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Bibliographic Details
Published inJapanese Journal of Applied Physics Vol. 37; no. 12R; p. 6657
Main Authors Wang, Wen-Tsung, Chang, Chia-Ou, Chou, Chan-Shin
Format Journal Article
LanguageEnglish
Published 01.12.1998
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Summary:In this paper we present a new method that converts rigid-body rotational motion to particle translational motion in a high-dimensional space. The inertial terms in the equations of rigid-body rotational motion are nonlinear in nature, while those in the equations of particle motion are linear. Therefore, the problem of maneuvering the rotation of a rigid body can be handled more easily by the theory of equivalent particle dynamics than by the theory of rigid-body rotational dynamics. An example of a rigid body tracking the desired time-varying orientation by supplying it with an appropriate control torque is given.
ISSN:0021-4922
1347-4065
DOI:10.1143/JJAP.37.6657