principal_axes_from_inertia_tensors¶
- halotools.mock_observables.principal_axes_from_inertia_tensors(inertia_tensors)[source]¶
Calculate the principal eigenvector of each of the input inertia tensors.
- Parameters:
- inertia_tensorsndarray
Numpy array of shape (npts, 3, 3) storing a collection of 3x3 symmetric positive-definite matrices
- Returns:
- principal_axesndarray
Numpy array of shape (npts, 3) storing a collection of 3d principal eigenvectors
- eigenvaluesndarray
Numpy array of shape (npts, ) storing the eigenvalue of each principal eigenvector
Notes
The function
inertia_tensor_per_objectcalculates the inertia tensors \(\mathcal{I}_{\rm i}\) for a collection of points inside a 3d mass distribution.