| Original Articles |
|
|
|
|
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 |
|
| Cite this article: |
|
XU Chong-Ming, TAO Jin-He, HUANG Tian-Yi et al 2004 Chin. Phys. Lett. 21 1884-1886 |
|
|
|
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.
|
| Keywords:
04.25.Nx
91.10.Nj
95.10.Jk
|
|
|
Published: 01 October 2004
|
|
| PACS: |
04.25.Nx
|
(Post-Newtonian approximation; perturbation theory; related Approximations)
|
| |
91.10.Nj
|
(Rotational variations; polar wobble)
|
| |
95.10.Jk
|
(Astrometry and reference systems)
|
|
|
|
|
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
