ABSTRACT: The absolute motion of an arbitrary asymmetric rigid body is studied. This motion is determined after its relative motion has been obtained. The most important peculiarity in this dynamical rigid body model is that the selected pole does not coincide with its mass center. Seven new kinematic characteristics have been defined. The first ones are the following vectors: real absolute, transmissive, and relative generalized velocities. The second ones are the vectors-real absolute, transmissive, relative, and Coriolisian generalized accelerations. Two new theorems are formulated. The first one is for the summation of the vectors of real generalized velocities. The second one is for the summation of the vectors of real generalized accelerations. The system of differential equations describing the rigid body’s relative motion in matrix form is determined. The algorithm for obtaining the rigid body absolute motion is described.
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