HarmonicOscillatorPotential

class gala.potential.HarmonicOscillatorPotential(omega, units=None)

Bases: gala.potential.PotentialBase

Represents an N-dimensional harmonic oscillator.

\[\Phi = \frac{1}{2}\omega^2 x^2\]

Parameters:

omega : numeric

Frequency.

units : iterable(optional)

Unique list of non-reducable units that specify (at minimum) the length, mass, time, and angle units.

Methods Summary

action_angle(w)

Transform the input cartesian position and velocity to action-angle coordinates the Harmonic Oscillator potential.

Methods Documentation

action_angle(w)

Transform the input cartesian position and velocity to action-angle coordinates the Harmonic Oscillator potential. This transformation is analytic and can be used as a “toy potential” in the Sanders & Binney 2014 formalism for computing action-angle coordinates in _any_ potential.

Adapted from Jason Sanders’ code genfunc.

Parameters:

w : gala.dynamics.CartesianPhaseSpacePosition, gala.dynamics.CartesianOrbit

The positions or orbit to compute the actions, angles, and frequencies at.