Isotropic Jeans-Abel mass inversion
= Isotropic Jeans-Abel mass inversion
For equal-luminosity <stars> in a spherical isotropic equilibrium, both $I(R)/L$ and $I(R)\sigma_{\rm los}^2(R)/L$ are Abel projections of $\nu$ and $\nu\sigma_r^2$. Separate inversion recovers the number density and radial <stress>; $M(r)=-r^2[d(\nu\sigma_r^2)/dr]/(G\nu)$. The stellar <luminosity> cancels in this <mass> ratio. Unknown anisotropy, noisy derivatives and limited outer coverage require additional modelling.