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Modelling the stellar halo with RR-Lyrae stars
Chengdong Li, James Binney
A seven-parameter distribution function (DF) is fitted to RR-Lyrae stars for which only astrometric data are available. The observational data are predicted by the DF in…
Modes of a stellar system II: non-ergodic systems
Jun Yan Lau, James Binney
An equation is derived for the energy of a small disturbance in a system that is generated by a distribution function (DF) of the form $f(\vJ)$ -- most galaxies and star clusters c…
Probabilistic distribution functions
Jun Yan Lau, James Binney
Observed clusters should be modelled by considering the distribution function to be a random variable that quantifies the degree of excitation of the system's normal modes. A syste…
Modes of a stellar system I: ergodic systems
Jun Yan Lau, James Binney
The excursions of star clusters and galaxies around statistical equilibria are studied. For a stable ergodic model Antonov's Hermitian operator on six-dimensional phase space has t…