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Dynamical Equation of Post Newtonian Quasi-rigid Body |
XU Chong-Ming1;TAO Jin-He2;HUANG Tian-Yi3;WU Xue-Jun1 |
1Department of Physics, Nanjing Normal University, Nanjing 210097
2Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210008
3Department of Astronomy, Nanjing University, Nanjing 210093 |
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Cite this article: |
XU Chong-Ming, TAO Jin-He, HUANG Tian-Yi et al 2004 Chin. Phys. Lett. 21 1884-1886 |
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Abstract We derive the dynamical equation of a post Newtonian (PN) quasi-rigid body from the general rotational equation of motion, i.e. the PN rotational equation of motion for a quasi-rigid body. It is emphasized that a rotational angular velocity vector and a figure axis besides the first post Newtonian (1PN) spin vector can be defined and realized for the model of a PN quasi-rigid body model constructed recently. Actually, we have shown that the moment of inertia tensor of a quasi-rigid body can be transformed into a diagonal form by an orthogonal transformation, which defines the principal axes of inertia of the body. As an example, its torque-free motion is discussed and a PN Poinsot configuration, which is similar to the Newtonian one with a small 1PN correction, is solved.
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Keywords:
04.25.Nx
91.10.Nj
95.10.Jk
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Published: 01 October 2004
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PACS: |
04.25.Nx
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(Post-Newtonian approximation; perturbation theory; related Approximations)
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91.10.Nj
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(Rotational variations; polar wobble)
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95.10.Jk
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(Astrometry and reference systems)
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