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Orbital instability and relaxation in stellar systems
Monica Valluri, David Merritt
The orbits of stars in galaxies are generically chaotic: the chaotic behavior arises in part from the intrinsically grainy nature of a potential that is composed of point masses. E…
Torus Construction
Monica Valluri, David Merritt
The maximally compact representation of a regular orbit is in terms of its action-angle variables. Computing the map between a trajectory's Cartesian coordinates and its action-ang…
Resonant Orbits in Triaxial Galaxies
David Merritt, Monica Valluri
Box orbits in triaxial potentials are generically thin, that is, they lie close in phase space to a resonant orbit satisfying a relation of the form lω_1 +mω_2+nω_3=0 between the t…
Dynamical Evolution of Bulge Shapes
Monica Valluri
Figure rotation substantially increases the fraction of stochastic orbits in triaxial systems. This increase is most dramatic in systems with shallow cusps showing that it is not a…