poliastro._math.special

Module Contents

Functions

hyp2f1b(x)	Hypergeometric function 2F1(3, 1, 5/2, x), see [Battin].
stumpff_c2(psi)	Second Stumpff function.
stumpff_c3(psi)	Third Stumpff function.

poliastro._math.special.hyp2f1b(x)

Hypergeometric function 2F1(3, 1, 5/2, x), see [Battin].

Notes

More information about hypergeometric function can be checked at https://en.wikipedia.org/wiki/Hypergeometric_function

poliastro._math.special.stumpff_c2(psi)

Second Stumpff function.

For positive arguments:

\[c_2(\psi) = \frac{1 - \cos{\sqrt{\psi}}}{\psi}\]

poliastro._math.special.stumpff_c3(psi)

Third Stumpff function.

For positive arguments:

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