A special class of potentials admitting a local integral for rotating systems

The search for qualitative regularities in the motion of bodies obeying Newton’s law has always been an important task incelestial mechanics. In stellar dynamics, the relevance of such searches remains, and they have become associated with awider class of possible potentials due to the variety of gravitational fields of the stars and galaxies encountered. A specialclass of potentials admitting a local integral is described in [1], which can be used to study the motion of stars in stellarsystems close to spherical symmetry. In the proposed article we will consider the same problem in the presence of rotation.The class of potentials are constructed.

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