Download E-books The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point (Springer Tracts in Natural Philosophy) PDF

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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