Caveat On P(a) shared
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farr commented
I infer that the same P(a) is used for both members of the binary? For binaries formed in the field, the mass accretion history for each binary member is somewhat different in a systematic way and any spin due to accretion, as opposed to natal spin, is likely to be systematically different, to some extent, for each component. This may be inconsequential, but may be prudent to mention.