aberrate function

Vector3 aberrate(
  1. Vector3 u,
  2. Vector3 v
)

Relativistic aberration: direction u as seen by an observer moving with velocity v (in units of c).

u′ = [u/γ + (1 + u·v/(1 + 1/γ))·v] / (1 + u·v), 1/γ = √(1 − v²).

Implementation

Vector3 aberrate(Vector3 u, Vector3 v) {
  final inverseGamma = math.sqrt(1 - v.dot(v));
  final uv = u.dot(v);
  return ((u * inverseGamma + v * (1 + uv / (1 + inverseGamma))) *
          (1 / (1 + uv)))
      .unit;
}