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