3 papers
astro-ph.GA2026
Basis sets and Coulomb resolutions in rotational coordinates
Edward Lilley
Using generalised Laplacian symmetry operators, we construct basis sets or Coulomb resolutions in several separable coordinate systems, including two R-separable systems. This expa…
astro-ph.GA2018
A two-parameter family of double-power-law biorthonormal potential-density expansions
E. J. Lilley, J. L. Sanders, N. W. Evans
Biorthonormal basis function expansions are widely used in galactic dynamics, both to study problems in galactic stability and to provide numerical algorithms to evolve collisionle…
astro-ph.GA2018
Galaxy halo expansions: a new biorthogonal family of potential-density pairs
E. J. Lilley, J. L. Sanders, N. W. Evans +1
Efficient expansions of the gravitational field of (dark) haloes have two main uses in the modelling of galaxies: first, they provide a compact representation of numerically-constr…