Theory of rotational motion of a free rigid body carrying a pendulum

1970 ◽  
Vol 21 (6) ◽  
pp. 682-686 ◽  
Author(s):  
V. A. Grobov
Keyword(s):  
Rigid Body ◽  
Rotational Motion ◽  
Free Rigid Body

Exponential control of a rotational motion of a rigid body using quaternions

2003 ◽  
Vol 137 (2-3) ◽  
pp. 195-207 ◽  
Author(s):  
Awad EL-Gohary ◽  
Ebrahim R. Elazab
Keyword(s):  
Rigid Body ◽  
Rotational Motion

Noetherian Perspective of Eulerian Motion of a Free Rigid Body

1997 ◽  
Vol 20 (1) ◽  
pp. 193-196
Author(s):  
Yoshihiko Nakamura ◽  
Ranjan Mukherjee
Keyword(s):  
Rigid Body ◽  
Free Rigid Body

scholarly journals Angular velocity of rotation of extended bodies in general relativity

1996 ◽  
Vol 172 ◽  
pp. 309-320
Author(s):  
S.A. Klioner
Keyword(s):  
General Relativity ◽  
Angular Velocity ◽  
Rigid Body ◽  
Rotational Motion ◽  
The Body ◽  
Astronomical Observations ◽  
Newtonian Approximation ◽  
Accurate Definition ◽  
Principal Axes ◽  
Definition Of

We consider rotational motion of an arbitrarily composed and shaped, deformable weakly self-gravitating body being a member of a system of N arbitrarily composed and shaped, deformable weakly self-gravitating bodies in the post-Newtonian approximation of general relativity. Considering importance of the notion of angular velocity of the body (Earth, pulsar) for adequate modelling of modern astronomical observations, we are aimed at introducing a post-Newtonian-accurate definition of angular velocity. Not attempting to introduce a relativistic notion of rigid body (which is well known to be ill-defined even at the first post-Newtonian approximation) we consider bodies to be deformable and introduce the post-Newtonian generalizations of the Tisserand axes and the principal axes of inertia.

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