GW Sources Characterization
Sky Localization
In GWDALI we deal with astronomical coordinates (RA, Dec) aligned with geocentric coordinates (longitude ‘lon’ and latitude ‘lat’ ) such that \(Ra//lon\) and \(Dec//lat\):
Free Parameters
m1: Redshifted Mass of the first object \(\longrightarrow (1+z)m_1\) [\(M_{\odot}\)]
m2: Redshifted Mass of the second object \(\longrightarrow (1+z)m_2\) [\(M_{\odot}\)]
eta: Symetric mass ratio \(\longrightarrow \eta \equiv m_1m_2/(m_1+m_2)^2\)
Mc: Redshifted Chirp Mass \(\longrightarrow (1+z)M_c \equiv (1+z)\eta^{3/5}(m_1+m_2)\) [\(M_{\odot}\)]
q: Mass Ratio \(\longrightarrow q=m_1/m_2\) with \(m_2>m_1\)
DL: Luminosity Distance \(\longrightarrow d_L\) [Gpc]
inv_dL: Inverse of Luminosity Distance \(\longrightarrow d_L^{-1}\) [\(Gpc^{-1}\)]
ln_dL: Logarithm of Luminosity Distance \(\longrightarrow ln(d_L/Gpc)\)
RA: Right Ascencion \(\longrightarrow Ra\) [deg]
Dec: Declination \(\longrightarrow Dec\) [deg]
iota: Binary Inclination \(\longrightarrow \iota\) [rad]
cos_iota: Cosine of Inclination \(\longrightarrow cos(\iota)\)
psi: Polarization Angle \(\longrightarrow \psi\) [rad]
phi_coal: Coalescence Phase \(\longrightarrow \phi_{coal}\) [rad]
t_coal: Coalescence Time \(\longrightarrow t_{coal}\) [seconds]
sx1: X-Component of First Object Spin \(\longrightarrow S_{x_1}\)
sy1: Y-Component of First Object Spin \(\longrightarrow S_{y_1}\)
sz1: Z-Component of First Object Spin \(\longrightarrow S_{z_1}\)
sx2: X-Component of Second Object Spin \(\longrightarrow S_{x_2}\)
sy2: Y-Component of Second Object Spin \(\longrightarrow S_{y_2}\)
sz2: Z-Component of Second Object Spin \(\longrightarrow S_{z_2}\)
S1: Magnitude of the First Object Spin \(\longrightarrow |\vec{S}_1|\)
theta_1: Polar Angle of the First Object Spin \(\longrightarrow \theta_1\) [rad]
phi_1: Azimuthal Angle of the First Object Spin \(\longrightarrow \phi_1\) [rad]
S2 Magnitude of the Second Object Spin \(\longrightarrow |\vec{S}_2|\)
theta_2: Polar Angle of the Second Object Spin \(\longrightarrow \theta_2\) [rad]
phi_2: Azimuthal Angle of the Second Object Spin \(\longrightarrow \phi_2\) [rad]