astrodynx.dH

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astrodynx.dH#

astrodynx.dH(H, e)[source]#

Returns the derivative of Kepler’s equation for hyperbolic orbits with respect to the hyperbolic eccentric anomaly.

Parameters:

  • H (ArrayLike) – Hyperbolic eccentric anomaly.

  • e (ArrayLike) – Eccentricity of the orbit, e > 1.

Return type:

Array

Returns:

The derivative of Kepler’s equation for hyperbolic orbits with respect to the hyperbolic eccentric anomaly.

Notes

The derivative of Kepler’s equation for hyperbolic orbits with respect to the hyperbolic eccentric anomaly is:

\[ dH = e \cosh H - 1 \]
where \(H\) is the hyperbolic eccentric anomaly and \(e\) is the eccentricity.

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