meepmeep.numba3d.solve3d

meepmeep.numba3d.solve3d(te: float, p: float, a: float, i: float, e: float, w: float, lan: float = 0.0) → ndarray[tuple[Any, ...], dtype[_ScalarT]]

Calculate the Taylor expansion for the (x, y, z) position around a given expansion-point time relative to the transit centre.

Parameters:

tefloat

Expansion-point time: the time of the Taylor-series expansion [days], measured relative to the transit centre (time of inferior conjunction). te=0 expands at the transit centre.

pfloat

Orbital period [days].

afloat

Semi-major axis of the orbit [R_star].

ifloat

Inclination of the orbit [rad].

efloat

Eccentricity of the orbit.

wfloat

Argument of periastron [rad].

lanfloat, optional

Longitude of the ascending node [rad]. A constant counterclockwise rotation of the sky-plane (x, y) coordinates about the line of sight; the line-of-sight (z) coordinate is unaffected. Defaults to 0.0.

Returns:

ndarray

A 3x5 coefficient matrix where each element is a pre-scaled coefficient for Taylor series expansion. Pre-scaling means that the coefficients are divided by 1, 1, 2, 6, and 24 to improve numerical speed.