Giorgio Fusco

Via Vetoio, 67010 Coppito, L’Aquila, Italy
Dipartimento di Matematica Pura ed Applicata, Università degli Studi dell’Aquila


Fusco G., Negrini P., Oliva W. M.
We consider an incompressible fluid contained in a toroidal stratum which is only subjected to Newtonian self-attraction. Under the assumption of infinitesimal thickness of the stratum we show the existence of stationary motions during which the stratum is approximately a round torus (with radii $r$, $R$ and $R \gg r$) that rotates around its axis and at the same time rolls on itself. Therefore each particle of the stratum describes an helix-like trajectory around the circumference of radius $R$ that connects the centers of the cross sections of the torus.
Keywords: self-gravitating liquid figures
Citation: Fusco G., Negrini P., Oliva W. M.,  Stationary Motion of a Self-gravitating Toroidal Incompressible Liquid Layer, Regular and Chaotic Dynamics, 2012, vol. 17, no. 5, pp. 397-416

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