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
Dynamical Equation of Post Newtonian Quasi-rigid Body
1Department of Physics, Nanjing Normal University, Nanjing 210097
2Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210008
3Department of Astronomy, Nanjing University, Nanjing 210093
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.
2004, Vol. 21 
