Precession.mws
Euler Equations of Motion for a Rigid Body
Eulerian Angle Transformation
Rotation Matrix
Angular Velocity Vector in the Body Frame
Rigid Body Equations — General Case
Equations of Motion
Clean up the third equation a bit
Rigid Body Equations — Symmetric Top
General Motion of a Symmetric Top
Equations of Motion
Conversion to a System of First-Order ODEs
Force-Free Motion of a Symmetric Top
Steady Precession Solution
A Spinning Truncated Cone Embedded in a Pressure Field
Conical Coordinates
Radiation Pressure
Torque Due to Radiation Pressure on the Cone Surface
Radius Vector to Cone Surface
Statement of the Torque Integral in the Conical Frame
Partial Evaluation of the Torque Integral in the Conical Frame
Conversion of the Torque Integral to the Body Frame
Torque Due to Radiation Pressure on the Flattop Surface
The Equations of Motion
Torque Combinations
Simplification of the Torque Combinations
Equations of Motion
Fast Spin Approximation
3D Plot of Precession Period
Precession Null
Numerical
Plots
Analytic
save/restart