Added bibliography, changed makefile

LaTeX/refs.bib

@@ -1,136 +0,0 @@
-
-@MISC{softy,
-  author =	"IBM",
-  howpublished =	"download from vendor site",
-  title =	"{S}{P}{S}{S} {S}tatistics",
-  url =	"http://www.ibm.com/software/analytics/spss/",
-  note =	"version 21",
-  lastchecked =	"August 2012",
-  year =	"2012"
-}
-
-@INPROCEEDINGS{taum,
-  author =	"Joseph D. Taum",
-  title =	"Investigation of flow turning phenomenon",
-  booktitle =	"20th Aerospace Sciences Meeting",
-  organization = "AIAA",
-  series =	"82",
-  number =	"0297",
-  year =	"1982"
-}
-
-@ARTICLE{zeddini,
-  author =	"Robert A. Zeddini",
-  title =	"Injection-induced flows in porous-walled ducts",
-  journal =	"AIAA Journal",
-  volume =	"14",
-  pages =	"766--773",
-  year =	"1981"
-  }
-
-@ARTICLE{richards,
-  author =	"R. S. Richards and A. M. Brown",
-  title =	"Coupling between acoustic velocity
-		oscillations and solid propellant combustion",
-  journal =	"J. Prop. and Power",
-  volume =	"5",
-  pages =	"828--837",
-  year =	"1982"
-  }
-
-@BOOK{dole,
-  author =	"Julian D. Dole",
-  title =	"Perturbation Methods in Applied Mathematics",
-  publisher =	"Winsdell Publishing Company",
-  year =	"1967"
-  }
-
-@ARTICLE{crow,
-  author =	"M. E. Crow",
-  title =	"Aerodynamic sound emission as a singular perturbation problem",
-  journal =	"Stud. Appl. Math.",
-  volume =	"29",
-  pages =	"21--44",
-  year =	"1968"
-  }
-
-@ARTICLE{mulick,
-  author =	"F. C. Mulick",
-  title =	"Rotational axisymmetric mean flow and damping
-			of acoustic waves in a solid propellant",
-  journal =	"AIAA J.",
-  volume =	"3",
-  pages =	"1062--1063",
-  year =	"1964"
-  }
-
-@ARTICLE{mulick75,
-  author =	"F. C. Mulick",
-  title =	"Stability of four-dimensional motions in a combustion chamber",
-  journal =	"Comb. Sci. Tech.",
-  volume =	"19",
-  pages =	"99--124",
-  year =	"1981"
-  }
-
-@ARTICLE{fabnis,
-  author =	"J. S. Fabnis and H. J. Giblet and H. McDormand",
-  title =	"Navier-stokes analysis of solid rocket motor internal flow",
-  journal =	"J. Prop. and Power",
-  volume =	"2",
-  pages =	"157--164",
-  year =	"1980"
-  }
-
-@INPROCEEDINGS{smitty,
-  author =	{T. M. Smitty and R. L. Coach and F. B. H\"ondra},
-  title =	"Unsteady flow in simulated solid rocket motors",
-  booktitle =	"16st Aerospace Sciences Meeting",
-  organization = "AIAA",
-  series =	"78",
-  number =	"0112",
-  year =	"1978"
-  }
-
-@ARTICLE{baylor,
-  author =	"G. I. Baylor",
-  title =	"Up, Up and Away",
-  journal =	"Proc. Roy. Soc., London A",
-  volume =	"294",
-  pages =	"456--475",
-  year =	"1959"
-  }
-
-@ARTICLE{guillot,
-  author =	"F. Guillot and Z. Javalon",
-  title =	"Acoustic boundary layers in propellant rocket motors",
-  journal =	"J. Prop. and Power",
-  volume =	"5",
-  pages =	"331--339",
-  year =	"1989"
-  }
-
-@ARTICLE{lao:paper,
-  author =	"Q. Lao and M. N. Cassoy and K. Kirkpatrick",
-  title =	"Acoustically generated vorticity from internal flow",
-  journal =	"J. Fluid Mechanics",
-  volume =	"2",
-  pages =	"122--133",
-  year =	"1996"
-  }
-
-@ARTICLE{lao:97,
-  author =	"Q. Lao and D. R. Kassoy and K. Kirkkopru",
-  title =	"Nonlinear acoustic processes in rocket engines",
-  journal =	"J. Fluid Mechanics",
-  volume =	"3",
-  pages =	"245--261",
-  year =	"1997"
-  }
-
-@PHDTHESIS{lao:thesis,
-  author =	"Henry Lao",
-  title =	"Linear Acoustic Processes in Rocket Engines",
-  school =	"University of Colorado at Boulder",
-  year =	"1979"
-  }

LaTeX/thesis.bib

@@ -0,0 +1,10 @@
+@article{laguerre_conway,
+  title={An improved algorithm due to Laguerre for the solution of Kepler's equation},
+  author={Conway, Bruce A},
+  journal={Celestial mechanics},
+  volume={39},
+  number={2},
+  pages={199--211},
+  year={1986},
+  publisher={Springer}
+}

LaTeX/thesis.tex

@@ -1,4 +1,4 @@
-\documentclass[defaultstyle,11pt]{LaTeX/thesis}
+\documentclass[defaultstyle,11pt]{thesis}
 
 \usepackage{graphicx}
 \usepackage{amssymb}
@@ -41,7 +41,7 @@
 
 \begin{document}
 
-	\input LaTeX/macros.tex
+	\input macros.tex
 
 	\chapter{Introduction}
 
@@ -186,7 +186,7 @@
 
 				\begin{figure}
 					\centering
-					\includegraphics[width=0.8\textwidth]{LaTeX/fig/kepler}
+					\includegraphics[width=0.8\textwidth]{fig/kepler}
 					\caption{Geometric Representation of Auxiliary Circle}\label{aux_circ}
 				\end{figure}
 
@@ -462,7 +462,7 @@
 
 			\begin{figure}
 				\centering
-				\includegraphics[width=\textwidth]{LaTeX/fig/porkchop}
+				\includegraphics[width=\textwidth]{fig/porkchop}
 				\caption{A sample porkchop plot of an Earth-Mars transfer}
 				\label{porkchop}
 			\end{figure}
@@ -592,15 +592,17 @@
 
 			\begin{figure}
 				\centering
-				\includegraphics[width=\textwidth]{LaTeX/flowcharts/nlp}
+				\includegraphics[width=\textwidth]{flowcharts/nlp}
 				\caption{A flowchart of the Non-Linear Problem Solving Formulation}
 				\label{nlp}
 			\end{figure}
 
 			\subsection{LaGuerre-Conway Kepler Solver}
-				Discuss how the LaGuerre-Conway algorithm is used in the code to provide a fundamental
-				``natural trajectory'' between two quantized, but not necessarily close points. Mention
-				validation.
+
+				The most basic building block of any trajectory is a physical model for simulating
+				natural trajectories from one point forward in time. The approach taken by this
+				paper uses the solution to Kepler's equation put forward by
+				Conway\cite{laguerre_conway} in 1986.
 
 			\subsection{Sims-Flanagan Propagator}
 				Discuss how this algorithm can then be expanded by using SFT to propagate any number of
@@ -653,9 +655,9 @@
 			Recommend future work, obviously. There are a \emph{ton} of opportunities for improvement
 			including parallelization, cluster computing, etc.
 
-	\bibliographystyle{plain}	% or "siam", or "alpha", etc.
-	\nocite{*}		% list all refs in database, cited or not
-	\bibliography{LaTeX/refs}		% Bib database in "refs.bib"
+	\bibliographystyle{plain}
+	\nocite{*}
+	\bibliography{thesis}
 
 	\appendix
 	% \input appendixA.tex