pyseobnr.auxiliary.mode_mixing.auxiliary_functions_modemixing.alpha_dot

pyseobnr.auxiliary.mode_mixing.auxiliary_functions_modemixing.alpha_dot(ell, m, j, h_ellm, h_mm, hdot_ellm, hdot_mm, omega_ellm, omega_mm, phi_ellm, phi_mm)

Auxiliary function to obtain the spheroidal mode input values, see Eq.(80) of [SEOBNRv5HM-notes]

Parameters:

• ell (int) – \(\ell\) index of the relevant mode

• m (int) – m index of the relevant mode

• j (float) – dimensionless spin parameter

• h_ellm (float) – amplitude of the (\(\ell,m\)) mode at attachment time

• h_mm (float) – amplitude of the (\(\ell^{\prime} = m,m\)) mode at attachment time

• hdot_ellm (float) – amplitude’s first derivative of the (\(\ell,m\)) mode at attachment time

• hdot_mm (float) – amplitude’s first derivative of the (\(\ell^{\prime} = m,m\)) mode at attachment time

• omega_ellm (float) – frequency of the (\(\ell,m\)) mode at attachment time

• omega_mm (float) – frequency of the (\(\ell^{\prime} = m,m\)) mode at attachment time

• phi_ellm (float) – phase of the (\(\ell,m\)) mode at attachment time

• phi_mm (float) – phase of the (\(\ell^{\prime} = m,m\)) mode at attachment time

Returns:

the value of alpha_dot

Return type:

float