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==New Idea== Perhaps we should move away from Riemann S-type ellipsoids and attempt instead to develop an SCF technique that can be used to construct a variety of Type I Riemann ellipsoids. This might be useful because: <ol> <li> The velocity flow-field is not constrained to be independent of z. (Although a related constraint appears to be in place.) This would lead to significant redesign of my above-mentioned "Incomplete" on-line notes. This state of affairs might demand that each system evolve on a viscous time scale toward a flow field that has no z-component. </li> <li> In the Type I Riemann ellipsoids, the steady-state flow-field already shows a pair of off-axis circulations — analogous to what is seen in a binary system — even though the underlying density distribution is uniform. This flow would presumably get "locked in" as the configuration cooled and encourage/necessarily imply the development of off-axis density maxima develop. </li> <li> Given that the spin-axis of the interflow is not aligned with the spin-axis of the ellipsoidal figure, one can imagine that a binary system formed from such a configuration would have a wide range of interesting properties; the spin and orbital angular momentum axes would be different from one another, for example. This reminds me of work that Peter Bodenheimer did in the late 70s — see [https://ui.adsabs.harvard.edu/abs/1978ApJ...224..488B/abstract P. Bodenheimer (1978, ApJ, 224, 448)] — when he used fragmentation of "rings' to estimate how multiple multiple star systems might divide up the angular momentum. </li> </ol>
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