mcfacts.physics.analytical_velocity

Module for calculating the recoil (kick) velocity of a remnant BH.

mcfacts.physics.analytical_velocity.analytical_kick_velocity(mass_1, mass_2, spin_1, spin_2, spin_angle_1, spin_angle_2)

Compute the analytical gravitational wave recoil (kick) velocity for merging black hole binaries as in Akiba et al. 2024 (arXiv:2410.19881).

Parameters:

• mass_1 (numpy.ndarray) – Mass [M_sun] of object 1 with float type

• mass_2 (numpy.ndarray) – Mass [M_sun] of object 2 with float type

• spin_1 (numpy.ndarray) – Spin magnitude [unitless] of object 1 with float type

• spin_2 (numpy.ndarray) – Spin magnitude [unitless] of object 2 with float type

• spin_angle_1 (numpy.ndarray) – Spin angle [radian] of object 1 with float type

• spin_angle_2 (numpy.ndarray) – Spin angle [radian] of object 2 with float type

Returns:

v_kick – Kick velocity [km/s] of the remnant BH with float type

Return type:

np.ndarray