\relax \citation{teukolsky:1973} \citation{ericsfiles} \citation{droz97} \citation{ericsfiles} \@writefile{toc}{\contentsline {section}{\numberline {7}GRASP Routines: Waveforms from perturbation theory}{211}{section.7}} \newlabel{s:BHPT}{{7}{211}{GRASP Routines: Waveforms from perturbation theory\relax }{section.7}{}} \@writefile{brf}{\backcite{teukolsky:1973}{{211}{7}{section.7}}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.1}The waveform}{211}{subsection.7.1}} \newlabel{e:wave1}{{7.1.1}{211}{The waveform\relax }{equation.7.1.1}{}} \@writefile{brf}{\backcite{ericsfiles}{{211}{7.1}{equation.7.1.1}}} \@writefile{brf}{\backcite{droz97}{{211}{7.1}{equation.7.1.2}}} \newlabel{e:vdot}{{7.1.3}{211}{The waveform\relax }{equation.7.1.3}{}} \@writefile{brf}{\backcite{ericsfiles}{{211}{7.1}{equation.7.1.3}}} \citation{goldberg:1967} \newlabel{e:vot}{{7.1.4}{212}{The waveform\relax }{equation.7.1.4}{}} \newlabel{e:Phi}{{7.1.5}{212}{The waveform\relax }{equation.7.1.5}{}} \newlabel{e:wave2}{{7.1.6}{212}{The waveform\relax }{equation.7.1.6}{}} \@writefile{brf}{\backcite{goldberg:1967}{{212}{7.1}{equation.7.1.6}}} \newlabel{e:hphc}{{7.1.7}{212}{The waveform\relax }{equation.7.1.7}{}} \@writefile{lof}{\contentsline {figure}{\numberline {47}{\ignorespaces Maximum and minimum orbital frequencies as a function of the total mass $M / M_\odot $ of the system.}}{213}{figure.47}} \newlabel{f:frange}{{47}{213}{A note on the allowed frequency range\relax }{figure.47}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.2}Chirp generation for test mass signals}{213}{subsection.7.2}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.3}Function: {\tt testmass\_chirp()}}{214}{subsection.7.3}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.4}Function: {\tt calculate\_testmass\_phase()}}{216}{subsection.7.4}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.5}Function: {\tt Get\_Duration()}}{217}{subsection.7.5}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.6}Function: {\tt Get\_Fmax()}}{218}{subsection.7.6}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.7}Function: {\tt ReadData()}}{219}{subsection.7.7}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.8}Function: {\tt Clean\_Up\_Memory()}}{220}{subsection.7.8}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.9}Function: {\tt Set\_Up\_Data()}}{221}{subsection.7.9}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.10}Function: {\tt minustwoSlm()}}{222}{subsection.7.10}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.11}Function: {\tt read\_modes()}}{223}{subsection.7.11}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.12}Function: {\tt read\_real\_data\_file()}}{224}{subsection.7.12}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.13}Function: {\tt integrate\_function()}}{225}{subsection.7.13}} \citation{NumRec} \@writefile{toc}{\contentsline {subsection}{\numberline {7.14}Function: {\tt integrateODE()}}{226}{subsection.7.14}} \@writefile{brf}{\backcite{NumRec}{{226}{7.14}{subsection.7.14}}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.15}Errors}{227}{subsection.7.15}} \newlabel{tm:errors}{{7.15}{227}{Errors\relax }{subsection.7.15}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.16}Example: {\tt tmwave} program}{228}{subsection.7.16}} \@writefile{lof}{\contentsline {figure}{\numberline {48}{\ignorespaces The zero-phase chirp waveform from a $2 \times 1.4 M_\odot $ binary system, starting at an orbital frequency of 60 Hz. This waveform consists of the $l=2$ and $l=3$ modes. The top graph shows the frequency as function of time, and the middle graph shows the waveform. The bottom graph shows a 40-msec stretch near the final inspiral/plunge. Compare this to figure \ref {f:chirp} in Section \ref {ss:filters}.}}{230}{figure.48}} \newlabel{f:tmchirp}{{48}{230}{Example: {\tt tmwave} program\relax }{figure.48}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.17}Example: {\tt lorenz} program}{231}{subsection.7.17}} \@writefile{toc}{\contentsline {subsection}{\numberline {7.18}Example: {\tt plot\_ambig} program}{233}{subsection.7.18}} \newlabel{e:expSNR}{{7.18.1}{233}{Example: {\tt plot\_ambig} program\relax }{equation.7.18.1}{}} \newlabel{e:ambiguity}{{7.18.2}{233}{Example: {\tt plot\_ambig} program\relax }{equation.7.18.2}{}} \@writefile{lof}{\contentsline {figure}{\numberline {49}{\ignorespaces A contour plot of the reduced Ambiguity function ${\cal A}_i$. 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