From fca9f32ea77d4980d5975716c4dcae4c5d2cb4b4 Mon Sep 17 00:00:00 2001 From: Connor Date: Mon, 14 Mar 2022 01:09:52 -0600 Subject: [PATCH] Think I'm gonna call it for now. May reassess, but almost completely done! --- LaTeX/approach.tex | 7 + LaTeX/conclusion.tex | 41 ++++++ LaTeX/fig/EMJS_plot.png | Bin 69092 -> 67238 bytes LaTeX/fig/EMJS_plot_noplanets.png | Bin 72210 -> 73071 bytes LaTeX/fig/EMJS_thrust_components.png | Bin 41790 -> 40543 bytes LaTeX/fig/EMJS_thrust_mag.png | Bin 40361 -> 37225 bytes LaTeX/fig/EMS_plot.png | Bin 65945 -> 66004 bytes LaTeX/fig/EMS_plot_noplanets.png | Bin 62661 -> 64709 bytes LaTeX/fig/EMS_thrust_components.png | Bin 45319 -> 38940 bytes LaTeX/fig/EMS_thrust_mag.png | Bin 42999 -> 38361 bytes LaTeX/results.tex | 199 +++++++++++---------------- LaTeX/thesis.tex | 42 ++++-- LaTeX/trajectory_design.tex | 41 +----- julia/ingest_mission.jl | 17 ++- julia/src/utilities/plotting.jl | 9 ++ 15 files changed, 173 insertions(+), 183 deletions(-) create mode 100644 LaTeX/conclusion.tex diff --git a/LaTeX/approach.tex b/LaTeX/approach.tex index 6a8d7b7..178ac86 100644 --- a/LaTeX/approach.tex +++ b/LaTeX/approach.tex @@ -88,9 +88,13 @@ In this formulation the cost function $F$ is a user provided function of the input Guess. The constraint function $G$ defines the following conditions that must be met: + \begin{spacing}{1.0} \begin{itemize} + \setlength\itemsep{-0.5em} \item For every phase other than the final: + \vspace{-0.5em} \begin{itemize} + \setlength\itemsep{0em} \item The minimum periapsis of the hyperbolic flyby arc must be above some user-specified minimum safe altitude. \item The magnitude of the incoming hyperbolic velocity must match the magnitude @@ -99,12 +103,15 @@ at the end of the phase. \end{itemize} \item For the final phase: + \vspace{-0.5em} \begin{itemize} + \setlength\itemsep{0em} \item The spacecraft position must match the planet's position (within bounds) at the end of the phase. \item The final mass must be greater than the dry mass of the craft. \end{itemize} \end{itemize} + \end{spacing} \begin{figure}[H] \centering diff --git a/LaTeX/conclusion.tex b/LaTeX/conclusion.tex new file mode 100644 index 0000000..257f9b2 --- /dev/null +++ b/LaTeX/conclusion.tex @@ -0,0 +1,41 @@ +\chapter{Conclusion} \label{conclusion} + + This thesis explored an approach for automating the initial analysis and discovery of useful + interplanetary, low-thrust trajectories including the difficult task of optimizing the flyby + parameters. This makes the mission designer's job significantly simpler in that they can + simply explore a number of different flyby selection options in order to get a good + understanding of the mission scope and search space for a given spacecraft, launch window, + and target. + + In performing this examination, two results were selected for further analysis. These + results are outlined in Table~\ref{results_table}. As can be seen in the table, both + resulting trajectories have trade-offs in mission length, launch energy, fuel usage, and + more. However, both results show very interesting trajectories that could indicate some + favorable possibilities for such a mission profile. Each of these trajectories should be + within the capabilities of existing launch vehicles in terms of $C_3$. + + \section{Recommendations for Future Work}\label{improvement_section} + + In the course of producing this algorithm, a large number of improvement possibilities were + noted. This work was based, in large part, on the work of Jacob Englander in a number of + papers\cite{englander2014tuning}\cite{englander2017automated} \cite{englander2012automated} + in which they explored the hybrid optimal control problem of multi-objective low-thrust + interplanetary trajectories. + + In light of this, there are a number of additional approaches that Englander took in + preparing their algorithm that were not implemented here in favor of reducing complexity and + time constraints. For instance, many of the Englander papers explore the concept of an outer + loop that utilizes a genetic algorithm to compare many different flyby planet choices + against each other. + + Further improvements, in the name of performance stem from the field of computer science. An + evolutionary algorithm such as the one proposed by Englander would benefit from high levels + of parallelization. Therefore, it would be worth considering a GPU-accelerated or even + cluster-computing capable implementation of the monotonic basin hopping algorithm. + + Finally, the monotonic basin hopping algorithm as currently written provides no guarantees + of actual global optimization. Generally optimization is achieved by running the algorithm + until it fails to produce newer, better trajectories for a sufficiently long time. 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