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Ben Farr edited Mass estimates.tex
over 9 years ago
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For the sake of efficiency, it is common to reparameterize the model to reduce the degeneracy between parameters, particularly those specifing the binary's masses. GW detectors are most sensitive to a combination of component masses referred to as the chirp mass, $\mathcal{M}_\mathrm{c} = (m_1 m_2)^{3/5} (m_1 + m_2)^{-1/5}$. For this study, we use the assymetric mass ratio $q =
m_2/m_1$ as the second mass parameter, m_2/m_1$, where
$m_2 < m_1$ such that $0 < q <
1$. 1$, as the second mass parameter. Detectors are much less sensitive to the mass ratio, and
it strong degeneracies with spin make constraints on $q$ even worse. It is
primarily the uncertainty in $q$ that governs the uncertainty in component masses $m_1$ and $m_2$.