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\@writefile{toc}{\contentsline {section}{\numberline {1}Overview}{1}{section.1}}
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\@writefile{toc}{\contentsline {section}{\numberline {3}Analytical Trail Model}{2}{section.3}}
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\@writefile{toc}{\contentsline {section}{\numberline {4}Trail Identification Efficiency and Fitting Accuracy}{5}{section.4}}
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\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces An example of a synthetic trail generated by our code. The green axes show the directions defined as ``x'' and ``y'', and the red arrows indicate the synthetic trail that has a 'stationary' $g'$ magnitude of $18.96\nobreakspace  {}$mag, angle of motion of $29.62^\circ $ counter-clockwise from the x-axis, and rate of motion of $4.53\nobreakspace  {}$deg/day. }}{8}{figure.1}}
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\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces A wire diagram of the analytical model used to fit trailed objects. The x and y axes (denoted in Fig\nobreakspace  {}1) are indicated, as are the $x'$ and $y'$ axes which are rotated by angle $\theta $ to line up with the trail's direction of motion. }}{9}{figure.2}}
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\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Distance between derived and generated center points for synthetic trails. }}{10}{figure.3}}
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\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Magnitudes of generated (dashed) and found (solid) trails for all trail lengths. It is currently unclear why the efficiency peaks at $\sim 15.5\nobreakspace  {}$mag. }}{10}{figure.4}}
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\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Trail fitting efficiency (derived/generated) vs magnitude. }}{11}{figure.5}}
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\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Differences in x and y positions between the generated and derived synthetic trails. The black points are defined as derived trails that were less than $2$ pixels ($0.74\nobreakspace  {}$arcsec) away from the generated trail center (inside the inner dotted-line circle) while the red points are defined as derived trails between $2$ and $10$ pixels ($0.74$ and $3.7\nobreakspace  {}$arcsec) away from the generated trail center. }}{11}{figure.6}}
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\@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Generated trail length vs. derived length. The red points indicate trails with large offset in derived center position. }}{12}{figure.7}}
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\@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces Generated angle (with respect to the pixel x axis) vs. derived angle. }}{12}{figure.8}}
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\@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces Generated angle (with respect to the pixel x axis) vs. derived angle for trails with lengths between $5$ and $10$ degrees per day. }}{13}{figure.9}}
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\@writefile{lof}{\contentsline {figure}{\numberline {10}{\ignorespaces The scatter in derived angle vs. the rate of motion of the generated trail. Red points are those that show significant differences in derived center points. }}{13}{figure.10}}
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\@writefile{lof}{\contentsline {figure}{\numberline {11}{\ignorespaces Generated magnitude vs. derived magnitude. The derived magnitude has been shifted by the $28.26$ magnitude Elixir-calculated zero-point. }}{14}{figure.11}}
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\@writefile{lof}{\contentsline {figure}{\numberline {12}{\ignorespaces The offset in derived magnitude vs. the generated length of the trail. A negative value on the y-axis implies an object fitted to a fainter flux level than was generated. }}{14}{figure.12}}
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