Linear Lagrange equations generalizing rotation
- 1 September 1974
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical, Nuclear and General
- Vol. 7 (13) , 1514-1519
- https://doi.org/10.1088/0305-4470/7/13/005
Abstract
An N-dimensional linear Lagrange equation is given which generalizes some classical problems. Particular interest is paid to the equation generalizing a rotation. The general solution is obtained with the use of a matrix exponential method. When applied to the three-dimensional motion of a heavy particle near the surface of the earth, the results are in agreement with known results found by other methods.Keywords
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