Rotate a coordinate about an axis

Rotates a reference coordinate (vector) about an axis. The reference and rotation axes can be defined in spherical or Cartesian coordinates.

Summary

[varargout] = vecrotvec(varargin) rotates a reference coordinate (vector) about an axis. The reference and rotation axes can be defined in spherical or Cartesian coordinates.

Please be aware of the following before using vecrotvec:

• Axes defined by spherical coordinates are unit vectors (r = 1)
• Angles are expected in radians

Files

Main vecrotvec function (user runs this function):

vecrotvec.m

Validation cases (user runs this function):

vecrotvec_validate.m

Calculation function (internal use only):

vecrotvec_internal_calc.m

Plotting function (internal use only):

vecrotvec_internal_plot.m

Additional methods used by vecrotvec (internal use only):

vecrotvec_internal.m

Acknowledgements

• Theory reference: Ramnath Vaidyanathan - Rotation in spherical coordinates, 2016, GitHub
• Image credit: By Andeggs - Own work, Public Domain, https://commons.wikimedia.org/w/index.php?curid=7478049 - Edited by Louis Vallance to swap around the angles