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							|  |  |  |  |   pdftitle={OpenRocket technical documentation}, | 
					
						
							|  |  |  |  |   pdfauthor={Sampo Niskanen}, | 
					
						
							|  |  |  |  |   pdfsubject={Technical documentation of the OpenRocket simulation software}, | 
					
						
							|  |  |  |  |   pdfkeywords={OpenRocket, model rocket, rocketry, simulation, technical documentation}, | 
					
						
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							|  |  |  |  | \begin{document} | 
					
						
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							|  |  |  |  | \pagenumbering{roman} | 
					
						
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							|  |  |  |  | %%%%%%%%  Title page
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							|  |  |  |  | \mbox{} | 
					
						
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							|  |  |  |  | \begin{center} | 
					
						
							|  |  |  |  | {\LARGE\bf OpenRocket technical documentation} | 
					
						
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							| 
									
										
										
										
											2011-07-19 20:03:32 +00:00
										 |  |  |  | {\large For OpenRocket version 1.1.6} | 
					
						
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							|  |  |  |  | \vspace{-3mm} | 
					
						
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										 |  |  |  | 2011-07-18 | 
					
						
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							|  |  |  |  | {\Large Sampo Niskanen} | 
					
						
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							|  |  |  |  | Based on the Master's thesis \cite{thesis} | 
					
						
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							|  |  |  |  | \mbox{\hspace{-6pt} | 
					
						
							|  |  |  |  | \large\it Development of an Open Source model rocket simulation software} | 
					
						
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							|  |  |  |  | \end{center} | 
					
						
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							|  |  |  |  | \mbox{} | 
					
						
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							|  |  |  |  | \begin{center} | 
					
						
							|  |  |  |  | {\Large\bf Thesis or technical documentation?} | 
					
						
							|  |  |  |  | \end{center} | 
					
						
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							|  |  |  |  | The OpenRocket simulation software was originally developed as the | 
					
						
							|  |  |  |  | Master's thesis project of Sampo Niskanen, including its written | 
					
						
							|  |  |  |  | part | 
					
						
							|  |  |  |  | {\it ``Development of an Open Source model rocket simulation software''} | 
					
						
							|  |  |  |  | \cite{thesis}.  The thesis is used as the basis of this technical | 
					
						
							|  |  |  |  | documentation, which is updated to account for later development in the | 
					
						
							|  |  |  |  | software.  This document often still refers to itself as a thesis, as | 
					
						
							|  |  |  |  | no systematic updating of this fact has yet been performed. | 
					
						
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							|  |  |  |  | While the original thesis is available online under a Creative Commons | 
					
						
							|  |  |  |  | no-derivatives license, this document is available under a freer | 
					
						
							|  |  |  |  | share-alike license. | 
					
						
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										 |  |  |  | The latest version of the technical documentation is available on the | 
					
						
							|  |  |  |  | OpenRocket website, \url{http://openrocket.sourceforge.net/}. | 
					
						
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										 |  |  |  | \vspace{10mm} | 
					
						
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							|  |  |  |  | \begin{center} | 
					
						
							|  |  |  |  | {\Large\bf Version history} | 
					
						
							|  |  |  |  | \end{center} | 
					
						
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							|  |  |  |  | \begin{center} | 
					
						
							|  |  |  |  | \begin{tabular}{lp{120mm}} | 
					
						
							|  |  |  |  | 2010-04-06 & Initial revision.  Updates the roll angle effect on three- and | 
					
						
							|  |  |  |  | four-fin configurations in Section~\ref{update-roll-angle}. | 
					
						
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										 |  |  |  | (OpenRocket software 1.0.0) \\ | 
					
						
							|  |  |  |  | 2011-07-18 & Updated Chapter~\ref{chap-software} for updates in the | 
					
						
							|  |  |  |  | software.  (OpenRocket software 1.1.6) \\ | 
					
						
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										 |  |  |  | \end{tabular} | 
					
						
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							|  |  |  |  | %%%%%  Quotation
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							|  |  |  |  | \mbox{} | 
					
						
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							|  |  |  |  | {\it ``No. Coal mining may be your life, but it's not mine. I'm never | 
					
						
							|  |  |  |  |   going down there again. I wanna go into space.''} | 
					
						
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							|  |  |  |  | \hspace{10mm}\parbox{130mm}{ | 
					
						
							|  |  |  |  | Amateur rocketeer Homer Hickam, Jr. in the movie October Sky (1999), based | 
					
						
							|  |  |  |  | on a true story.\\ | 
					
						
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							|  |  |  |  | Hickam later became an engineer at NASA, working in spacecraft design | 
					
						
							|  |  |  |  | and crew training.} | 
					
						
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							|  |  |  |  | %%%%%%%%
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							|  |  |  |  | \tableofcontents | 
					
						
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							|  |  |  |  | %\listoffigures
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							|  |  |  |  | %
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							|  |  |  |  | \newpage | 
					
						
							|  |  |  |  | \section*{List of symbols and abbreviations} | 
					
						
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							|  |  |  |  | {\bf Symbols} | 
					
						
							|  |  |  |  | \nopagebreak | 
					
						
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							|  |  |  |  | \begin{tabular}{p{20mm}p{105mm}} | 
					
						
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							|  |  |  |  | $A$           & Area \\ | 
					
						
							|  |  |  |  | \Afin         & Area of one fin \\ | 
					
						
							|  |  |  |  | $A_{\rm plan}$& Planform area \\ | 
					
						
							|  |  |  |  | \Aref         & Reference area \\ | 
					
						
							|  |  |  |  | $A_{\rm wet}$ & Wetted area \\ | 
					
						
							|  |  |  |  | $\AR$         & Aspect ratio of a fin, $2s^2/\Afin$ \\ | 
					
						
							|  |  |  |  | $c$           & Speed of sound \\ | 
					
						
							|  |  |  |  | $\bar c$      & Mean aerodynamic chord length of a fin \\ | 
					
						
							|  |  |  |  | $c(y)$        & Chord length of a fin at spanwise position $y$ \\ | 
					
						
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							|  |  |  |  | $C_A$         & Axial drag force coefficient \\ | 
					
						
							|  |  |  |  | $C_D$         & Drag force coefficient \\ | 
					
						
							|  |  |  |  | $C_f$         & Skin friction drag coefficient \\ | 
					
						
							|  |  |  |  | $C_l$         & Roll moment coefficient \\ | 
					
						
							|  |  |  |  | $C_{ld}$      & Roll damping moment coefficient \\ | 
					
						
							|  |  |  |  | $C_{lf}$      & Roll forcing moment coefficient \\ | 
					
						
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							|  |  |  |  | $C_m$         & Pitch moment coefficient \\ | 
					
						
							|  |  |  |  | \Cma          & Pitch moment coefficient derivative,  | 
					
						
							|  |  |  |  |                 $\frac{\partial C_m}{\partial \alpha}$ \\ | 
					
						
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							|  |  |  |  | $C_N$         & Normal force coefficient \\ | 
					
						
							|  |  |  |  | \CNa          & Normal force coefficient derivative, | 
					
						
							|  |  |  |  |                 $\frac{\partial C_N}{\partial \alpha}$ \\ | 
					
						
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							|  |  |  |  | $d$           & Reference length, the rocket diameter \\ | 
					
						
							|  |  |  |  | $D$           & Drag force \\ | 
					
						
							|  |  |  |  | $f_B$         & Rocket fineness ratio, $L/d$ \\ | 
					
						
							|  |  |  |  | $L$           & The rocket length \\ | 
					
						
							|  |  |  |  | $m$           & Pitch moment \\ | 
					
						
							|  |  |  |  | $M$           & Mach number \\ | 
					
						
							|  |  |  |  | $N$           & Normal force; Number of fins \\ | 
					
						
							|  |  |  |  | $p$           & Air pressure \\ | 
					
						
							|  |  |  |  | $r(x)$        & Body or component radius at position $x$ \\ | 
					
						
							|  |  |  |  | $R$           & Reynolds number \\ | 
					
						
							|  |  |  |  | $s$           & Spanwise length of one fin \\ | 
					
						
							|  |  |  |  | $T$           & Air temperature \\ | 
					
						
							|  |  |  |  | $V$           & Volume \\ | 
					
						
							|  |  |  |  | $v_0$         & Free-stream velocity \\ | 
					
						
							|  |  |  |  | $x$, $X$      & Position along the rocket centerline \\ | 
					
						
							|  |  |  |  | $y$           & Spanwise position \\ | 
					
						
							|  |  |  |  | \end{tabular} | 
					
						
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							|  |  |  |  | \begin{tabular}{p{20mm}p{105mm}} | 
					
						
							|  |  |  |  | $\alpha$      & Angle of attack \\ | 
					
						
							|  |  |  |  | $\beta$       & $\sqrt{|M^2-1|}$ \\ | 
					
						
							|  |  |  |  | $\gamma$      & Specific heat ratio, for air $\gamma=1.4$ \\ | 
					
						
							|  |  |  |  | $\Gamma_c$    & Fin midchord sweep angle \\ | 
					
						
							|  |  |  |  | $\delta$      & Fin cant angle \\ | 
					
						
							|  |  |  |  | $\eta$        & Airflow inclination angle over a fin \\ | 
					
						
							|  |  |  |  | $\theta$      & Roll angle \\ | 
					
						
							|  |  |  |  | $\Lambda$     & Dihedral angle between a fin and the direction of airflow \\ | 
					
						
							|  |  |  |  | $\nu$         & Kinematic viscosity of air \\ | 
					
						
							|  |  |  |  | $\xi$         & Distance from rotation axis \\ | 
					
						
							|  |  |  |  | $\rho$        & Density of air \\ | 
					
						
							|  |  |  |  | $\omega$      & Angular velocity \\ | 
					
						
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							|  |  |  |  | \end{tabular} | 
					
						
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							|  |  |  |  | \vspace{10mm} | 
					
						
							|  |  |  |  | {\bf Abbreviations} | 
					
						
							|  |  |  |  | \nopagebreak | 
					
						
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							|  |  |  |  | \begin{tabular}{p{20mm}p{105mm}} | 
					
						
							|  |  |  |  | CFD & Computational fluid dynamics \\ | 
					
						
							|  |  |  |  | CG  & Center of gravity \\ | 
					
						
							|  |  |  |  | CP  & Center of pressure \\ | 
					
						
							|  |  |  |  | LE  & Leading edge \\ | 
					
						
							|  |  |  |  | MAC & Mean aerodynamic chord \\ | 
					
						
							|  |  |  |  | RK4 & Runge-Kutta 4 integration method \\ | 
					
						
							|  |  |  |  | UI  & User interface \\ | 
					
						
							|  |  |  |  | \end{tabular} | 
					
						
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							|  |  |  |  | \pagenumbering{arabic} | 
					
						
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							|  |  |  |  | \include{chapter-introduction} | 
					
						
							|  |  |  |  | \include{chapter-basics-of-model-rockets} | 
					
						
							|  |  |  |  | \include{chapter-aerodynamic-properties} | 
					
						
							|  |  |  |  | \include{chapter-flight-simulation} | 
					
						
							|  |  |  |  | \include{chapter-software} | 
					
						
							|  |  |  |  | \include{chapter-experimental} | 
					
						
							|  |  |  |  | \include{chapter-conclusion} | 
					
						
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							|  |  |  |  | \section*{Acknowledgments} | 
					
						
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							|  |  |  |  | I would like to express my deepest gratitude to M.Sc.~Timo Sailaranta | 
					
						
							|  |  |  |  | for his invaluable advice and consultation on the aerodynamic | 
					
						
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										 |  |  |  | simulation of rockets.  Without his input the creation of the | 
					
						
							|  |  |  |  | OpenRocket software and Master's thesis would have been exceedingly | 
					
						
							|  |  |  |  | laborious.  I would also like to thank Prof.~Rolf Stenberg for | 
					
						
							|  |  |  |  | supervising the writing of the Master's thesis. | 
					
						
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							|  |  |  |  | I am also deeply grateful for my parents Jouni and Riitta, my entire | 
					
						
							|  |  |  |  | family, friends and teachers, who have always encouraged me onwards in | 
					
						
							|  |  |  |  | my life and studies.  Above all I would like to thank my brother, | 
					
						
							|  |  |  |  | Antti~J. Niskanen, for being an inspiration throughout my life and | 
					
						
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										 |  |  |  | also for building the magnetometer logger used in the experimental | 
					
						
							|  |  |  |  | flights; and my wife Merli Lahtinen, for her patience and loving | 
					
						
							|  |  |  |  | understanding for my passion towards rocketry. | 
					
						
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							|  |  |  |  | \begin{thebibliography}{99} | 
					
						
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 | 
					
						
							|  |  |  |  | \bibitem{thesis} Niskanen, S., {\it Development of an Open Source | 
					
						
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							|  |  |  |  | % FLUID-DYNAMIC DRAG
 | 
					
						
							|  |  |  |  | % Practical Information on AERODYNAMICDRAG and HYDRODYNAMIC RESISTANCE
 | 
					
						
							|  |  |  |  | % Sighard F. Hoerner (Dr.-Ing.)
 | 
					
						
							|  |  |  |  | % Published by the Author 1958
 | 
					
						
							|  |  |  |  | %
 | 
					
						
							|  |  |  |  | % Chap II - Skin-friction drag
 | 
					
						
							|  |  |  |  | %   laminaarinen, turbulentti, ym.
 | 
					
						
							|  |  |  |  | % Chap III - Pressure drag
 | 
					
						
							|  |  |  |  | %   forebudy pressure drag for different shapes
 | 
					
						
							|  |  |  |  | %   Base drag C_DB = 0.029/sqrt(C_fB)  forebody-drag coefficient C_fB
 | 
					
						
							|  |  |  |  | % Chap V - Drag of surface imperfections
 | 
					
						
							|  |  |  |  | %   Drag due to surface roughtness
 | 
					
						
							|  |  |  |  | %   Critical roughness
 | 
					
						
							|  |  |  |  | %   Page 5-8, Drag of Individual Protuberances
 | 
					
						
							|  |  |  |  | %     neliskanttinen pala, pituus < korkeus -> CD=1.20
 | 
					
						
							|  |  |  |  | %                          pituus > 2*kork  -> CD=0.74
 | 
					
						
							|  |  |  |  | %                     suhteutettu etupinta-alaan
 | 
					
						
							|  |  |  |  | %     From ref. Tillmann, Rpt KW Inst. G<>ttingen, Dec 1944
 | 
					
						
							|  |  |  |  | % Chap VII - Drag due to lift
 | 
					
						
							|  |  |  |  | % Chap VIII - Interference drag
 | 
					
						
							|  |  |  |  | %   Pairs of bodies
 | 
					
						
							|  |  |  |  | % Chap X - Hydrodynamic drag
 | 
					
						
							|  |  |  |  | %   sivu 10-3, siivekkeiden profiilimuotoja!!!
 | 
					
						
							|  |  |  |  | % Chap XIII - Drag of airplane components and accessories
 | 
					
						
							|  |  |  |  | %   Drag of external loads
 | 
					
						
							|  |  |  |  | %   Parachutes
 | 
					
						
							|  |  |  |  | % Chap XV-XVII - subsonic, transsonic, supersonic
 | 
					
						
							|  |  |  |  | 
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							|  |  |  |  | 
 | 
					
						
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 | 
					
						
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 | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | \appendix | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | \include{chapter-appendices} | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | 
 | 
					
						
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 | 
					
						
							|  |  |  |  | \end{document} |