lamberthub.utils.stumpff

This module holds the so-called Stumpff functions. These set of functions usually appear in a plethora of equations within the subject of astrodynamics.

Module Contents

Functions

c2(psi)

Second Stumpff function.

c3(psi)

Third Stumpff function.

lamberthub.utils.stumpff.c2(psi)

Second Stumpff function.

For positive arguments:

\[c_2(\psi) = \frac{1 - \cos{\sqrt{\psi}}}{\psi}\]
lamberthub.utils.stumpff.c3(psi)

Third Stumpff function.

For positive arguments:

\[c_3(\psi) = \frac{\sqrt{\psi} - \sin{\sqrt{\psi}}}{\sqrt{\psi^3}}\]