A What is the Expression for the Waveform of an In-Spiralling Compact Binary?

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The discussion centers on the expression for the waveform of an in-spiralling compact binary, given as h(t;θ) = (1/r) Q(φ) M(π M F)^(2/3) cos Φ(t). Key components include the set of angles φ that describe the binary's position and orientation, the chirp mass defined as M = μ^(3/5) M^(2/5), and the wave frequency F(t) with phase Φ(t) = 2π ∫ F(t) dt. Participants express difficulty in finding a derivation for this expression, with references pointing to "300 years of Gravitation" and Kip Thorne's work for further details. There is also a query about the explicit function Q, which is discussed in an earlier paper linked in the thread. The conversation highlights the complexity of deriving and understanding the waveform expression in the context of gravitational wave research.
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This paper gives the following expression for the waveform from an in-spiralling compact binary:\begin{align*}
h(t;\boldsymbol{\theta}) = \frac{1}{r} Q(\boldsymbol{\phi}) \mathcal{M}(\pi \mathcal{M} F)^{2/3} \cos \Phi(t)
\end{align*}where
  • ##\boldsymbol{\phi} = (\theta, \varphi, \psi, \iota)## is a set of angles describing position & orientation of binary
  • ##\mathcal{M} \equiv \mu^{3/5} M^{2/5}## is the chirp mass
  • ##F(t)## is the wave frequency & ##\Phi(t) \equiv 2\pi \int F(t) dt## is the phase
I've been trying to find a derivation of this guy for quite a while, with no luck. The references lead to the book "300 years of Gravitation", which I'd have to wait until tomorrow to have a look at.

Also, what's the function ##Q## explicitly?
 
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(Disclaimer: I am not an expert in this area.) That paper cites an earlier paper (also found on arxiv here), where equation 15 is comparable to OP. The earlier paper points to Kip Thorne's book for the derivation, but also apparently goes into detail about the definition of Q in section IV (edit: see equation 66).
 
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Moderator's note: Spin-off from another thread due to topic change. In the second link referenced, there is a claim about a physical interpretation of frame field. Consider a family of observers whose worldlines fill a region of spacetime. Each of them carries a clock and a set of mutually orthogonal rulers. Each observer points in the (timelike) direction defined by its worldline's tangent at any given event along it. What about the rulers each of them carries ? My interpretation: each...

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