constants_of_motion#

kerrgeopy.constants.constants_of_motion(a, p, e, x)[source]#

Computes the dimensionless energy, angular momentum, and Carter constant of a bound orbit with the given parameters

Parameters:

  • a (double) – dimensionless spin of the black hole (must satisfy -1 < a < 1)

  • p (double) – orbital semi-latus rectum

  • e (double) – orbital eccentricity (must satisfy 0 <= e <= 1)

  • x (double) – cosine of the orbital inclination (must satisfy 0 <= x^2 <= 1)

Returns:

tuple of constants of motion \((E, L, Q)\)

Return type:

tuple(double, double, double)