ABSTRACT: In this article, new equations called Condensed Lagrange equations (CLEs) are defined. With their help, the rigid body’s absolute general motion is studied. The rigid body is considered to be homogeneous and unsymmetrical. CLEs are similar in structure to the classical Lagrange equations from the second type, applied in vector-matrix form, but CLEs are differing from them by four indicators. These differences are commented on in detail in this article. The use of the CLEs is fully equivalent to the application of the theorem, called the Theorem for change of the rigid body generalized impulse. Using CLEs the differential equations in a matrix form, describing the rigid body’s absolute general motion, are obtained. CLEs enrich the theory of Rigid Body Mechanics. Moreover, CLEs represent a second alternative variant of the Theorem for change of the rigid body generalized impulse, they serve for verification, and finally, they make the study complete.
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