Editing Apps/OstrikerBodenheimerLyndenBell66 (section)

====Their Adopted Angular-Momentum Distribution====

In what follows, text that has been extracted directly from p. 817 of [https://ui.adsabs.harvard.edu/abs/1966PhRvL..17..816O/abstract OBL66] is presented using a dark green font.  

"<font color="darkgreen">The angular-velocity distribution in the model is determined through the specification of a distribution of angular momentum per unit mass <math>~j(m)</math>, where <math>~m</math> is a Lagrangian coordinate equal to the fraction of the total mass interior to a cylindrical surface around the axis of rotation.  The specification of <math>~j(m)</math> rather than <math>~\dot\varphi(\varpi)</math> permits the construction of equilibrium models for a given choice of [total] angular momentum <math>~J</math>.  The angular-momentum distribution chosen for the computed models is that of a uniformly rotating polytrope of index <math>~\tfrac{3}{2}</math>.</font>"  

Later papers refer to models with OBL66's specified angular momentum profile as belonging to an <math>~n^' = \tfrac{3}{2}</math> sequence.  It cannot be described by a closed-form analytic expression.  But, as a point of reference and drawing from [http://adsabs.harvard.edu/abs/1965ApJ...142..208S Stoeckly's (1965)] work, in an [[AxisymmetricConfigurations/SolutionStrategies#Uniform-Density_Initially_.28n.27_.3D_0.29|accompanying discussion]] we derive the analytic expression for the angular momentum distribution of models that lie along a so-called  <math>~n^' = 0</math> sequence.