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main_thesis.toc
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\contentsline {part} {\chapternameToC }{\relax }{}
\contentsline {chapter}{\numberline {\th@ChapterStyle 1}\normalsize \normalfont Background and Motivation}{1}{}%
\contentsline {section}{\numberline {\th@SectionStyle 1.1}\normalsize \normalfont Rubble-Pile Asteroid Surfaces}{1}{}%
\contentsline {section}{\numberline {\th@SectionStyle 1.2}\normalsize \normalfont Shape Modeling of Small Bodies}{2}{}%
\contentsline {section}{\numberline {\th@SectionStyle 1.3}\normalsize \normalfont Dynamics and the YORP effect}{4}{}%
\contentsline {section}{\numberline {\th@SectionStyle 1.4}\normalsize \normalfont Thesis Statement}{7}{}%
\contentsline {section}{\numberline {\th@SectionStyle 1.5}\normalsize \normalfont Thesis Overview}{7}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 1.5.1}\normalsize \normalfont Contributions}{7}{}%
\contentsline {chapter}{\numberline {\th@ChapterStyle 2}\normalsize \normalfont Boulder-induced YORP Altering Spin Acceleration}{9}{}%
\contentsline {section}{\numberline {\th@SectionStyle 2.1}\normalsize \normalfont Surface Interactions causing YORP}{9}{}%
\contentsline {section}{\numberline {\th@SectionStyle 2.2}\normalsize \normalfont Coordinate Frames}{11}{}%
\contentsline {section}{\numberline {\th@SectionStyle 2.3}\normalsize \normalfont Fourier YORP Coefficient Modeling}{13}{}%
\contentsline {section}{\numberline {\th@SectionStyle 2.4}\normalsize \normalfont Comments on Orbit Averaging}{15}{}%
\contentsline {section}{\numberline {\th@SectionStyle 2.5}\normalsize \normalfont Boulder Simulation Design}{15}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.5.1}\normalsize \normalfont Boulder Shape}{16}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.5.2}\normalsize \normalfont Bennu and Itokawa Surfaces}{18}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.5.3}\normalsize \normalfont Boulder Population Studies on Bennu and Itokawa}{21}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.5.4}\normalsize \normalfont Applying a Simplified Thermal Model}{22}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.5.5}\normalsize \normalfont Polyhedral Facet YORP Evaluation}{23}{}%
\contentsline {section}{\numberline {\th@SectionStyle 2.6}\normalsize \normalfont Analysis of boulder impact on YORP spin torque}{24}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.6.1}\normalsize \normalfont Power Law Distribution of Boulder Size}{25}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.6.2}\normalsize \normalfont Uniform Distribution of Boulder Location}{27}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.6.3}\normalsize \normalfont Uniform Distribution of Boulder Orientation}{27}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.6.4}\normalsize \normalfont Overall Uncertainty Distribution}{30}{}%
\contentsline {section}{\numberline {\th@SectionStyle 2.7}\normalsize \normalfont Bennu Results}{31}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.7.1}\normalsize \normalfont Total Boulder Impact}{31}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.7.2}\normalsize \normalfont Large Influence Boulder Parameters}{33}{}%
\contentsline {subsubsection}{\numberline {\th@OtherSecHeadStyles 2.7.2.1}\normalsize \normalfont Size Comparison}{33}{}%
\contentsline {subsubsection}{\numberline {\th@OtherSecHeadStyles 2.7.2.2}\normalsize \normalfont Location: Equatorial Trend}{34}{}%
\contentsline {subsubsection}{\numberline {\th@OtherSecHeadStyles 2.7.2.3}\normalsize \normalfont Orientation Bias: West or East}{34}{}%
\contentsline {section}{\numberline {\th@SectionStyle 2.8}\normalsize \normalfont Itokawa Results}{35}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.8.1}\normalsize \normalfont Total Boulder Impact}{35}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.8.2}\normalsize \normalfont Large Influence Boulder Parameters}{36}{}%
\contentsline {subsubsection}{\numberline {\th@OtherSecHeadStyles 2.8.2.1}\normalsize \normalfont Size Comparison}{36}{}%
\contentsline {subsubsection}{\numberline {\th@OtherSecHeadStyles 2.8.2.2}\normalsize \normalfont Location: Sub-30 Degree Latitude Preference}{36}{}%
\contentsline {subsubsection}{\numberline {\th@OtherSecHeadStyles 2.8.2.3}\normalsize \normalfont Orientation Bias: No Pattern}{37}{}%
\contentsline {section}{\numberline {\th@SectionStyle 2.9}\normalsize \normalfont Sensitivity Analysis}{38}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.9.1}\normalsize \normalfont Size Thresholding}{38}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.9.2}\normalsize \normalfont Orientation Biases: West Preference}{41}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.9.3}\normalsize \normalfont Location Bias: Polar Migration}{42}{}%
\contentsline {section}{\numberline {\th@SectionStyle 2.10}\normalsize \normalfont Efficiency of Boulder Shape}{44}{}%
\contentsline {section}{\numberline {\th@SectionStyle 2.11}\normalsize \normalfont Total YORP Discussion}{46}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.11.1}\normalsize \normalfont Crater YORP}{46}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.11.2}\normalsize \normalfont Tangential YORP}{48}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 2.11.3}\normalsize \normalfont Overall YORP Comparison}{49}{}%
\contentsline {section}{\numberline {\th@SectionStyle 2.12}\normalsize \normalfont Application to YORP Estimates}{52}{}%
\contentsline {section}{\numberline {\th@SectionStyle 2.13}\normalsize \normalfont Boulder Motion}{52}{}%
\contentsline {section}{\numberline {\th@SectionStyle 2.14}\normalsize \normalfont Summary of Spin Evolution Findings}{54}{}%
\contentsline {chapter}{\numberline {\th@ChapterStyle 3}\normalsize \normalfont Obliquity Evolution under Boulder-Induced YORP Torques}{57}{}%
\contentsline {section}{\numberline {\th@SectionStyle 3.1}\normalsize \normalfont YORP Torques for Obliquity}{57}{}%
\contentsline {section}{\numberline {\th@SectionStyle 3.2}\normalsize \normalfont Results}{58}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 3.2.1}\normalsize \normalfont Boulder Distribution Effects on Solar Inclination Change Rates}{58}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 3.2.2}\normalsize \normalfont Sensitivity}{59}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 3.2.3}\normalsize \normalfont Boulder Motion}{63}{}%
\contentsline {chapter}{\numberline {\th@ChapterStyle 4}\normalsize \normalfont Shape-from-Silhouette Modeling of Small Bodies}{66}{}%
\contentsline {section}{\numberline {\th@SectionStyle 4.1}\normalsize \normalfont Introduction}{66}{}%
\contentsline {section}{\numberline {\th@SectionStyle 4.2}\normalsize \normalfont 2D to 3D Mapping of Images to Shapes}{67}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 4.2.1}\normalsize \normalfont Assumptions}{67}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 4.2.2}\normalsize \normalfont Simulated Image Procedure}{67}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 4.2.3}\normalsize \normalfont Mission Data}{67}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 4.2.4}\normalsize \normalfont Identification of the Silhouette}{68}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 4.2.5}\normalsize \normalfont Terminator and Limb Discrimination}{72}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 4.2.6}\normalsize \normalfont Ray Generation and Trimming}{72}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 4.2.7}\normalsize \normalfont Outlier Rejection Scheme}{77}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 4.2.8}\normalsize \normalfont Surface Reconstruction with Ball-pivoting}{77}{}%
\contentsline {section}{\numberline {\th@SectionStyle 4.3}\normalsize \normalfont Shape Results}{78}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 4.3.1}\normalsize \normalfont Simulated Data}{78}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 4.3.2}\normalsize \normalfont Shape Modeling from Mission Data}{81}{}%
\contentsline {section}{\numberline {\th@SectionStyle 4.4}\normalsize \normalfont Matching Localization with Normalized Cross-Correlation}{83}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 4.4.1}\normalsize \normalfont Methods}{83}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 4.4.2}\normalsize \normalfont Results}{84}{}%
\contentsline {section}{\numberline {\th@SectionStyle 4.5}\normalsize \normalfont Analysis}{87}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 4.5.1}\normalsize \normalfont Error Evaluation}{87}{}%
\contentsline {subsection}{\numberline {\th@SubSectionStyle 4.5.2}\normalsize \normalfont Boulder Resolution}{88}{}%
\contentsline {chapter}{\numberline {\th@ChapterStyle 5}\normalsize \normalfont Conclusion and Future Work}{90}{}%
\contentsline {section}{\numberline {\th@SectionStyle 5.1}\normalsize \normalfont Summary}{90}{}%
\contentsline {section}{\numberline {\th@SectionStyle 5.2}\normalsize \normalfont Applications of Boulder YORP Modeling}{91}{}%
\contentsline {section}{\numberline {\th@SectionStyle 5.3}\normalsize \normalfont Further Investigations}{91}{}%