fit_harmonic_oscillator

gala.dynamics.fit_harmonic_oscillator(orbit, omega0=[1.0, 1.0, 1.0])[source]

Fit the toy harmonic oscillator potential to the sum of the energy residuals relative to the mean energy by minimizing the function

\[f(\boldsymbol{\omega}) = \sum_i (\frac{1}{2}v_i^2 + \Phi_{\rm sho}(x_i\,|\,\boldsymbol{\omega}) - <E>)^2\]
TODO: This should fail if the Hamiltonian associated with the orbit has
a frame other than StaticFrame
Parameters:
orbit : Orbit
omega0 : array_like (optional)

Initial frequency guess.

Returns:
omegas : float

Best-fit harmonic oscillator frequencies.