calc_k_squared

luminet.black_hole_math.calc_k_squared(p: float, bh_mass: float)

Calculate the squared modulus of elliptic integral

\[k^2 = m = \frac{Q - P + 6M}{2Q}\]

Attention

Luminet [1] uses the non-squared modulus in the elliptic integrals. This is just a convention. However, scipy asks for the squared modulus \(m=k^2\), not the modulus.

Parameters:
  • p (float) – periastron distance

  • bh_mass (float) – Black hole mass