astrodynx.twobody.is_short_way

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astrodynx.twobody.is_short_way#

astrodynx.twobody.is_short_way(r1, v1, r2)[source]#

Returns True if the short way between two points in an orbit is taken.

Parameters:

  • r1 (ArrayLike) – (3,) The position vector at the first point.

  • v1 (ArrayLike) – (3,) The velocity vector at the first point.

  • r2 (ArrayLike) – (3,) The position vector at the second point.

Return type:

Array

Returns:

True if the short way between the two points is taken, False otherwise.

Notes

The short way is taken only if:

\[ (\boldsymbol{r}_1 \times \boldsymbol{v}_1) \cdot (\boldsymbol{r}_1 \times \boldsymbol{r}_2) > 0 \]

Examples

A simple example:

>>> import jax.numpy as jnp
>>> import astrodynx as adx
>>> r1 = jnp.array([1.0, 0.0, 0.0])
>>> v1 = jnp.array([0.0, 1.0, 0.0])
>>> r2 = jnp.array([0.0, 1.0, 0.0])
>>> adx.twobody.is_short_way(r1, v1, r2)
Array(True, dtype=bool)
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