pyseobnr.auxiliary.mode_mixing.auxiliary_functions_modemixing

Mode mixing fitting function and coefficients from [Berti2014].

Used to model mode mixing in the (3,2) and (4,3) modes.

Functions

F(ell, m, j, h_ellm, h_mm, phi_ellm, phi_mm)

Auxiliary function to obtain the spheroidal mode input values, see Eq.(75) of [SEOBNRv5HM-notes]

F_dot(ell, m, j, h_ellm, h_mm, hdot_ellm, ...)

Auxiliary function to obtain the spheroidal mode input values, see Eq.(79) of [SEOBNRv5HM-notes]

alpha(ell, m, j, h_ellm, h_mm, phi_ellm, phi_mm)

Auxiliary function to obtain the spheroidal mode input values, see Eq.(76) of [SEOBNRv5HM-notes]

alpha_dot(ell, m, j, h_ellm, h_mm, ...)

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

dphi(ell, m, j, phi_ellm, phi_mm)

Auxiliary function to obtain the spheroidal mode input values, see Eq.(74) of [SEOBNRv5HM-notes]

dphi_dot(omega_ellm, omega_mm)

Auxiliary function to obtain the spheroidal mode input values, see Eq.(78) of [SEOBNRv5HM-notes]

h_ellm0_nu(ell, m, j, h_ellm, h_mm, ...)

Computes the amplitude of the spheroidal \((\ell,m,0)\) mode at at attachment time from the \((\ell,m)\) and (\(\ell^{\prime} = m,m\)) spherical modes

hdot_ellm0_nu(ell, m, j, h_ellm, h_mm, ...)

Computes the amplitude's first derivative of the spheroidal \((\ell,m,0)\) mode at at attachment time from the (\(\ell,m\)) and (\(\ell^{\prime} = m,m\)) spherical modes

mu(m, l, lp, j)

Equation 11 from [Berti2014] applied to the (2,2), (3,2), (3,3) and (4,3) modes using the appropriate fitting parameters

mu_fit(j, p1, p2, p3, p4)

Equation 11 from [Berti2014] to get the spherical-spheroidal mode mixing coefficients

omega_ellm0(ell, m, j, h_ellm, h_mm, ...)

Computes the frequency of the spheroidal \((\ell,m,0)\) mode at at attachment time from the (\(\ell,m\)) and (\(\ell^{\prime} = m,m\)) spherical modes

phi_ellm0(ell, m, j, h_ellm, h_mm, phi_ellm, ...)

Computes the phase of the spheroidal \((\ell,m,0)\) mode at at attachment time from the (\(\ell,m\)) and (\(\ell^{\prime} = m,m\)) spherical modes

rho(ell, m, j, h_ellm, h_mm)

Auxiliary function to obtain the spheroidal mode input values, see Eq.(73) of [SEOBNRv5HM-notes]

rho_dot(ell, m, j, h_ellm, h_mm, hdot_ellm, ...)

Auxiliary function to obtain the spheroidal mode input values, see Eq.(77) of [SEOBNRv5HM-notes]