From aa45f5f74400623e9e937559d806ddf5afe9de0e Mon Sep 17 00:00:00 2001 From: Connor Date: Sun, 23 Jan 2022 23:08:25 -0700 Subject: [PATCH] Section 4 is finished. 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Rerun to get cross-references right. ) Here is how much of TeX's memory you used: - 9616 strings out of 476257 - 197565 string characters out of 5816920 + 9636 strings out of 476257 + 198054 string characters out of 5816920 715810 words of memory out of 5000000 - 30172 multiletter control sequences out of 15000+600000 + 30191 multiletter control sequences out of 15000+600000 406997 words of font info for 84 fonts, out of 8000000 for 9000 1348 hyphenation exceptions out of 8191 73i,10n,114p,266b,391s stack positions out of 5000i,500n,10000p,200000b,80000s -Output written on thesis.pdf (26 pages). +Output written on thesis.pdf (30 pages). diff --git a/thesis_pdf/thesis.toc b/thesis_pdf/thesis.toc index bf8c057..9260060 100644 --- a/thesis_pdf/thesis.toc +++ b/thesis_pdf/thesis.toc @@ -5,32 +5,32 @@ \contentsline {subsection}{\numberline {2.2}Analytical Solutions to Kepler's Equations}{15}{}% \contentsline {subsubsection}{\numberline {2.2.1}LaGuerre-Conway Algorithm}{17}{}% \contentsline {subsection}{\numberline {2.3}Non-Linear Problem Optimization}{18}{}% -\contentsline {subsubsection}{\numberline {2.3.1}Non-Linear Solvers}{18}{}% -\contentsline {subsubsection}{\numberline {2.3.2}Linesearch Method}{19}{}% +\contentsline {subsubsection}{\numberline {2.3.1}Non-Linear Solvers}{19}{}% +\contentsline {subsubsection}{\numberline {2.3.2}Linesearch Method}{20}{}% \contentsline {section}{\numberline {3}Low-Thrust Considerations}{21}{}% -\contentsline {subsection}{\numberline {3.1}Low Thrust Overview}{21}{}% -\contentsline {subsection}{\numberline {3.2}Sims-Flanagan Transcription}{21}{}% -\contentsline {section}{\numberline {4}Interplanetary Trajectory Considerations}{22}{}% -\contentsline {subsection}{\numberline {4.1}Patched Conics}{22}{}% -\contentsline {subsection}{\numberline {4.2}Gravity Assist Maneuvers}{22}{}% -\contentsline {subsection}{\numberline {4.3}Multiple Gravity Assist Techniques}{22}{}% -\contentsline {subsection}{\numberline {4.4}Ephemeris Considerations}{22}{}% -\contentsline {section}{\numberline {5}Algorithm Overview}{23}{}% -\contentsline {subsection}{\numberline {5.1}Trajectory Composition}{23}{}% -\contentsline {subsection}{\numberline {5.2}Inner Loop Implementation}{23}{}% -\contentsline {subsubsection}{\numberline {5.2.1}LaGuerre-Conway Kepler Solver}{23}{}% -\contentsline {subsubsection}{\numberline {5.2.2}Sims-Flanagan Propagator}{23}{}% -\contentsline {subsubsection}{\numberline {5.2.3}Non-Linear Problem Solver}{24}{}% -\contentsline {subsubsection}{\numberline {5.2.4}Monotonic Basin Hopping}{24}{}% -\contentsline {subsection}{\numberline {5.3}Outer Loop Implementation}{24}{}% -\contentsline {subsubsection}{\numberline {5.3.1}Inner Loop Calling Function}{24}{}% -\contentsline {subsubsection}{\numberline {5.3.2}Genetic Algorithm Description}{24}{}% -\contentsline {section}{\numberline {6}Results Analysis}{25}{}% -\contentsline {subsection}{\numberline {6.1}Sample Trajectory to Saturn}{25}{}% -\contentsline {subsubsection}{\numberline {6.1.1}Comparison to Less Optimal Solutions}{25}{}% -\contentsline {subsubsection}{\numberline {6.1.2}Cost Function Analysis}{25}{}% -\contentsline {subsubsection}{\numberline {6.1.3}Comparison to Impulsive Trajectories}{25}{}% -\contentsline {section}{\numberline {7}Conclusion}{26}{}% -\contentsline {subsection}{\numberline {7.1}Overview of Results}{26}{}% -\contentsline {subsection}{\numberline {7.2}Applications of Algorithm}{26}{}% -\contentsline {subsection}{\numberline {7.3}Recommendations for Future Work}{26}{}% +\contentsline {subsection}{\numberline {3.1}Low-Thrust Control Laws}{21}{}% +\contentsline {subsection}{\numberline {3.2}Sims-Flanagan Transcription}{22}{}% +\contentsline {section}{\numberline {4}Interplanetary Trajectory Considerations}{23}{}% +\contentsline {subsection}{\numberline {4.1}Patched Conics}{23}{}% +\contentsline {subsection}{\numberline {4.2}Gravity Assist Maneuvers}{24}{}% +\contentsline {subsection}{\numberline {4.3}Multiple Gravity Assist Techniques}{25}{}% +\contentsline {subsection}{\numberline {4.4}Ephemeris Considerations}{26}{}% +\contentsline {section}{\numberline {5}Algorithm Overview}{27}{}% +\contentsline {subsection}{\numberline {5.1}Trajectory Composition}{27}{}% +\contentsline {subsection}{\numberline {5.2}Inner Loop Implementation}{27}{}% +\contentsline {subsubsection}{\numberline {5.2.1}LaGuerre-Conway Kepler Solver}{27}{}% +\contentsline {subsubsection}{\numberline {5.2.2}Sims-Flanagan Propagator}{27}{}% +\contentsline {subsubsection}{\numberline {5.2.3}Non-Linear Problem Solver}{28}{}% +\contentsline {subsubsection}{\numberline {5.2.4}Monotonic Basin Hopping}{28}{}% +\contentsline {subsection}{\numberline {5.3}Outer Loop Implementation}{28}{}% +\contentsline {subsubsection}{\numberline {5.3.1}Inner Loop Calling Function}{28}{}% +\contentsline {subsubsection}{\numberline {5.3.2}Genetic Algorithm Description}{28}{}% +\contentsline {section}{\numberline {6}Results Analysis}{29}{}% +\contentsline {subsection}{\numberline {6.1}Sample Trajectory to Saturn}{29}{}% +\contentsline {subsubsection}{\numberline {6.1.1}Comparison to Less Optimal Solutions}{29}{}% +\contentsline {subsubsection}{\numberline {6.1.2}Cost Function Analysis}{29}{}% +\contentsline {subsubsection}{\numberline {6.1.3}Comparison to Impulsive Trajectories}{29}{}% +\contentsline {section}{\numberline {7}Conclusion}{30}{}% +\contentsline {subsection}{\numberline {7.1}Overview of Results}{30}{}% +\contentsline {subsection}{\numberline {7.2}Applications of Algorithm}{30}{}% +\contentsline {subsection}{\numberline {7.3}Recommendations for Future Work}{30}{}%