The Spinning Gas Clouds with Precession: The Symmetry Generators
@inproceedings{Gaffet2012TheSG, title={The Spinning Gas Clouds with Precession: The Symmetry Generators}, author={Bernard Gaffet}, year={2012} }
The Dyson model of a spinning ellipsoidal gas cloud expanding into a vacuum has been found to be Liouville integrable under certain additional assumptions, such as the absence of either vorticity or of angular momentum. Here we present a new formulation in the form of a 4x4 matrix equation, which generalizes a similar result obtained in rotationless cases. This implies to consider an extended affine space of seven dimensions, in which the seven coordinates of the point-mass representative of…