From 0efe952de058ec401a71c03bcc04b8c1044c1b96 Mon Sep 17 00:00:00 2001
From: Connor <connor@richardconnorjohnstone.com>
Date: Sat, 15 Jan 2022 15:50:42 -0700
Subject: [PATCH] Updating for yoga

---
 LaTeX/fig/kepler.png        | Bin 0 -> 100060 bytes
 LaTeX/fig/text220678.png    | Bin 0 -> 487 bytes
 LaTeX/flowcharts/kepler.svg |  11 +-
 thesis_pdf/thesis.aux       |  48 +++
 thesis_pdf/thesis.lof       |   1 +
 thesis_pdf/thesis.log       | 714 ++++++++++++++++++++++++++++++++++++
 thesis_pdf/thesis.toc       |  36 ++
 7 files changed, 806 insertions(+), 4 deletions(-)
 create mode 100644 LaTeX/fig/kepler.png
 create mode 100644 LaTeX/fig/text220678.png
 create mode 100644 thesis_pdf/thesis.aux
 create mode 100644 thesis_pdf/thesis.lof
 create mode 100644 thesis_pdf/thesis.log
 create mode 100644 thesis_pdf/thesis.toc

diff --git a/LaTeX/fig/kepler.png b/LaTeX/fig/kepler.png
new file mode 100644
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diff --git a/thesis_pdf/thesis.toc b/thesis_pdf/thesis.toc
new file mode 100644
index 0000000..bf8c057
--- /dev/null
+++ b/thesis_pdf/thesis.toc
@@ -0,0 +1,36 @@
+\contentsline {section}{\numberline {1}Introduction}{10}{}%
+\contentsline {section}{\numberline {2}Trajectory Optimization}{12}{}%
+\contentsline {subsection}{\numberline {2.1}The Two-Body Problem}{12}{}%
+\contentsline {subsubsection}{\numberline {2.1.1}Kepler's Laws and Equations}{14}{}%
+\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 {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}{}%