Lecture 18: Schwarzschild's method
Reading:
Binney and Tremaine, 4.7.2
Optional reading:
The following papers discuss the limitations of Jeans theorem:
Lynden-Bell, D. 1962, MNRAS 124, 1
Binney, J. 1982, MNRAS 201, 15
Kandrup, H. E. 1998, MNRAS 299, 1139
Schwarzschild, M. 1979, ApJ 232, 236 - the classic paper on constructing triaxial stellar systems
For a description of linear programming, see Numerical Recipes
For a description of Lucy's method for solving integral equations, see Appendix C of Binney and Merrifield
A recent article on quadratic programming methods is here
Dejonghe, H. 1989, ApJ 323, 113 - quadratic programming as an alternative to linear programming
de Zeeuw, P. T., Hunter, C., and Schwarzschild, M. 1987, ApJ 317, 607 - addresses the issue of whether triaxial stellar systems with a given density and potential are unique
Richstone, D. O., and Tremaine, S. 1984, ApJ 286, 27 - linear programming applied to spherical models
The state of the art in using Schwarzschild's method to model observations is described in
Cretton, N., et al. 1999, ApJS 124, 383