Within the idea of movement of a number of coupled inflexible our bodies a few fastened aspect you'll be able to distinguish 3 uncomplicated ramifications. 1. the 1st, the so-called classical course of investigations, is anxious with specific situations of integrability ot the equations of movement of a unmarried inflexible physique a few fastened point,1 and with their geo metrical interpretation. This course of concept was once most important till the start of the 20 th century and its so much illustrious represen tatives are L. EULER (1707-1783), J L. LAGRANGE (1736-1813), L. POINSOT (1777-1859), S. V. KOVALEVSKAYA (1850-1891), and others. bankruptcy I of the current monograph intends to mirror this department of investigations. For collateral analyzing at the common questions handled during this bankruptcy the reader is mentioned the next textbooks and reviews: A. DOMOGAROV [1J, F. KLEIN and A. SOMMERFELD [11, 1 , 1 J, A. G. 2 three GREENHILL [10J, A. grey [1J, R. GRAMMEL [4 J, E. J. ROUTH [21' 2 , 1 2 31' 32J, J. B. SCARBOROUGH [1J, and V. V. GOLUBEV [1, 2J.
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