  The Jeans equations relate the second-order velocity moments to the density
and potential of a stellar system. For general three-dimensional stellar
systems, there are three equations, but these are not very helpful, as they
contain six independent moments. By assuming that the potential is triaxial and
of separable Staeckel form, the mixed moments vanish in confocal ellipsoidal
coordinates. The three Jeans equations and three remaining non-vanishing
moments form a closed system of three highly-symmetric coupled first-order
partial differential equations in three variables. They were first derived by
Lynden-Bell in 1960, but have resisted solution by standard methods. Here we
present the general solution by superposition of singular solutions.
