4 problems

Let a steady-state distribution function be given in a potential, and consider its even velocity moments in a chosen coordinate system. The moments are said to be aligned when thei…

Let $\alpha$ satisfy $-1<\alpha<-1/2$ in a generalized multicomponent Cuddeford system, and let $h(Q)$ be the function entering its distribution function. In the covered cases, the…

Consider a spherical stellar system with a consistent, positive phase-space distribution function. Let \gamma(r)=-d\text{{rm ln}, }\rho/d\text{{rm ln}, } r denote the density…

A spherical stellar system has density slope \gamma(r)=-d\text{{rm ln}, }\rho/d\text{{rm ln}, } r, anisotropy parameter $\beta(r)=1-\sigma_t^2/(2\sigma_r^2)$, and a positive…