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Angle-action variables for orbits trapped at a Lindblad resonance
James Binney
The conventional approach to orbit trapping at Lindblad resonances via a pendulum equation fails when the parent of the trapped orbits is too circular. The problem is explained and…
Trapped orbits and solar-neighbourhood kinematics
James Binney
Torus mapping yields constants of motion for stars trapped at a resonance. Each such constant of motion yields a system of contours in velocity space at the Sun and neighbouring po…
Modelling our Galaxy
James Binney
Dynamical models will be key to exploitation of the incoming flood data for our Galaxy. Modelling techniques are reviewed with an emphasis on f(J) modelling.
Flattened stellar systems based on distribution functions depending on actions
Raffaele Pascale, James Binney, Carlo Nipoti
We address an issue that arises when self-consistently flattened dynamical stellar systems are constructed by adopting a distribution function (DF) that depends on the action integ…
The shearing sheet and swing amplification revisited
James Binney
The principal results of the classic analysis of the shearing sheet and swing amplification by Julian & Toomre (1966) are re-derived in a more accessible way and then used to gain…
Relaxation of spherical stellar systems
Jun Yan Lau, James Binney
10,000 simulations of 1000-particle realisations of the same cluster are computed by direct force summation. Over three crossing times the original Poisson noise is amplified more…
Action-based models for dwarf spheroidal galaxies and globular clusters
Raffaele Pascale, James Binney, Carlo Nipoti +1
A new family of self-consistent DF-based models of stellar systems is explored. The stellar component of the models is described by a distribution function (DF) depending on the ac…