calc_x0

luminet.black_hole_math.calc_x0(bh_mass, a)

Calculcate \(x_0\) for Kerr black holes.

\[x_0 = \sqrt{\frac{r_{ms}}{M}}\]
Parameters:
  • bh_mass (float) – Mass of the black hole.

  • a (float) – Specific angular momentum of the black hole. Should always be between \(-1\) and \(1\). \(a > 0\) if the accretion disk orbits in the same direction as the hole rotates; \(a < 0\) if it orbits in the opposite direction.

See also

Page and Thorne [2] Equation 15k

See also

calc_innermost_orbit() for the calculation of \(r_{ms}\)