From cba732925ae67bdec704db8924bf4ec42165b222 Mon Sep 17 00:00:00 2001 From: duetosymmetry <679461+duetosymmetry@users.noreply.github.com> Date: Tue, 14 Jan 2025 11:03:43 +0000 Subject: [PATCH] Auto paper update --- _papers/Mroue:2008fu.md | 43 ++++++++++++++++++++--------------------- 1 file changed, 21 insertions(+), 22 deletions(-) diff --git a/_papers/Mroue:2008fu.md b/_papers/Mroue:2008fu.md index 5002434..d8ee99c 100644 --- a/_papers/Mroue:2008fu.md +++ b/_papers/Mroue:2008fu.md @@ -1,36 +1,35 @@ --- title: "Ineffectiveness of Padé resummation techniques in post-Newtonian approximations" authors: - - "Abdul H. Mroué" - - "Lawrence E. Kidder" - - "Saul A. Teukolsky" -jref: "Phys. Rev. D 78, 044004 (2008)" + - "Mroue, Abdul H." + - "Kidder, Lawrence E." + - "Teukolsky, Saul A." +jref: "Phys.Rev.D 78, 044004 (2008)" doi: "10.1103/PhysRevD.78.044004" date: 2008-05-15 arxiv: "0805.2390" -used_spec: true abstract: | We test the resummation techniques used in developing Padé and - Effective One Body (EOB) waveforms for gravitational wave - detection. Convergence tests show that Padé approximants of the - gravitational wave energy flux do not accelerate the convergence of - the standard Taylor approximants even in the test mass limit, and - there is no reason why Padé transformations should help in - estimating parameters better in data analysis. Moreover, adding a - pole to the flux seems unnecessary in the construction of these - Padé-approximated flux formulas. Padé approximants may be useful in - suggesting the form of fitting formulas. We compare a 15-orbit + Effective One Body (EOB) waveforms for gravitational wave detection. + Convergence tests show that Padé approximants of the gravitational + wave energy flux do not accelerate the convergence of the standard + Taylor approximants even in the test mass limit, and there is no + reason why Padé transformations should help in estimating + parameters better in data analysis. Moreover, adding a pole to the + flux seems unnecessary in the construction of these + Padé-approximated flux formulas. Padé approximants may be useful + in suggesting the form of fitting formulas. We compare a 15-orbit numerical waveform of the Caltech-Cornell group to the suggested Padé waveforms of Damour et al. in the equal mass, nonspinning - quasi-circular case. The comparison suggests that the Padé waveforms - do not agree better with the numerical waveform than the standard - Taylor based waveforms. Based on this result, we design a simple EOB - model by modifiying the ET EOB model of Buonanno et al., using the - Taylor series of the flux with an unknown parameter at the fourth - post-Newtonian order that we fit for. This simple EOB model + quasi-circular case. The comparison suggests that the Padé + waveforms do not agree better with the numerical waveform than the + standard Taylor based waveforms. Based on this result, we design a + simple EOB model by modifiying the ET EOB model of Buonanno et al., + using the Taylor series of the flux with an unknown parameter at the + fourth post-Newtonian order that we fit for. This simple EOB model generates a waveform having a phase difference of only 0.002 radians with the numerical waveform, much smaller than 0.04 radians the phase uncertainty in the numerical data itself. An EOB Hamiltonian - can make use of a Padé transformation in its construction, but this - is the only place Padé transformations seem useful. + can make use of a Padé transformation in its construction, but + this is the only place Padé transformations seem useful. ---