\documentclass[10pt,a4paper]{article} % Packages \usepackage{fancyhdr} % For header and footer \usepackage{multicol} % Allows multicols in tables \usepackage{tabularx} % Intelligent column widths \usepackage{tabulary} % Used in header and footer \usepackage{hhline} % Border under tables \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \usepackage{colortbl} % For coloured tables \usepackage{setspace} % For line height \usepackage{lastpage} % Needed for total page number \usepackage{seqsplit} % Splits long words. %\usepackage{opensans} % Can't make this work so far. Shame. Would be lovely. \usepackage[normalem]{ulem} % For underlining links % Most of the following are not required for the majority % of cheat sheets but are needed for some symbol support. \usepackage{amsmath} % Symbols \usepackage{MnSymbol} % Symbols \usepackage{wasysym} % Symbols %\usepackage[english,german,french,spanish,italian]{babel} % Languages % Document Info \author{bittbobitty} \pdfinfo{ /Title (intro-to-astronomy.pdf) /Creator (Cheatography) /Author (bittbobitty) /Subject (Intro to Astronomy Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \onehalfspacing % Commands \newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour \newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{7303A3} \definecolor{LightBackground}{HTML}{F6EFF9} \renewcommand{\familydefault}{\sfdefault} \color{TextColor} % Header and Footer \pagestyle{fancy} \fancyhead{} % Set header to blank \fancyfoot{} % Set footer to blank \fancyhead[L]{ \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{C} \SetRowColor{DarkBackground} \vspace{-7pt} {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}} } \end{tabulary} \columnbreak \begin{tabulary}{11cm}{L} \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Intro to Astronomy Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{bittbobitty} via \textcolor{DarkBackground}{\uline{cheatography.com/46577/cs/13523/}}} \end{tabulary} \end{multicols}} \fancyfoot[L]{ \footnotesize \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{LL} \SetRowColor{FootBackground} \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}} \\ \vspace{-2pt}bittbobitty \\ \uline{cheatography.com/bittbobitty} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Not Yet Published.\\ Updated 13th November, 2017.\\ Page {\thepage} of \pageref{LastPage}. \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}} \\ \SetRowColor{white} \vspace{-5pt} %\includegraphics[width=48px,height=48px]{dave.jpeg} Measure your website readability!\\ www.readability-score.com \end{tabulary} \end{multicols}} \begin{document} \raggedright \raggedcolumns % Set font size to small. Switch to any value % from this page to resize cheat sheet text: % www.emerson.emory.edu/services/latex/latex_169.html \footnotesize % Small font. \begin{multicols*}{4} \begin{tabularx}{3.833cm}{x{1.20155 cm} x{2.23145 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Keplar}} \tn % Row 0 \SetRowColor{LightBackground} The Law of Ellipses & The path of the planets around the sun is elliptical in shape, with the centre of the sun being located at one focus. \tn % Row Count 5 (+ 5) % Row 1 \SetRowColor{white} The Law of Equal Areas & An imaginary line drawn from the centre of the sun to the centre of the planet will sweep out equal areas in equal intervals of time. \tn % Row Count 11 (+ 6) % Row 2 \SetRowColor{LightBackground} The Law of Harmonies & The ratio of the squares of the periods of any two planets is equal to the ratio of the cubes of their average distances from the sun. \tn % Row Count 17 (+ 6) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Parallax}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{3.833cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bittbobitty_1510567951_Parallax schematic-729x296.png}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Parallax is the apparent displacement of an object because of a change in the observer's point of view. \newline Equation is d = 1/p where; \newline d = distance measured in parsecs \newline p = parallax angle measured in arcseconds} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{p{0.6866 cm} x{2.7464 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Special Relativity}} \tn % Row 0 \SetRowColor{LightBackground} \seqsplit{Definition} & Mass and energy are the same physical entity and can be changed into each other. \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} E = mc\textasciicircum{}2 & The increased relativistic mass (m) of a body times the speed of light squared (c\textasciicircum{}2) is equal to the kinetic energy (E) of that body. \tn % Row Count 8 (+ 5) % Row 2 \SetRowColor{LightBackground} The Sun & The nuclear fusion reactions that transform hydrogen to helium are part of the reason that the sun shines. The energy released from the rest energy of hydrogen atoms that are fused to form helium. \tn % Row Count 15 (+ 7) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{1.30454 cm} x{2.12846 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Star Luminosity and Distance}} \tn % Row 0 \SetRowColor{LightBackground} The size of a star & If two stars have the same effective temperature but differ in size then the larger star has a greater surface area and as it radiates the same amount of energy per unit surface area per second as the smaller star its total power output or luminosity will be greater. \tn % Row Count 12 (+ 12) % Row 1 \SetRowColor{white} The distance to the star & The closer the star the brighter it will appear. \tn % Row Count 14 (+ 2) % Row 2 \SetRowColor{LightBackground} Luminosity & The intrinsic brightness of a celestial object. \tn % Row Count 16 (+ 2) % Row 3 \SetRowColor{white} Apparent Magnitude & The magnitude of a celestial object as it is actually measured from the Earth. \tn % Row Count 20 (+ 4) % Row 4 \SetRowColor{LightBackground} Absolute Magnitude & The magnitude (brightness) of a celestial object as it would be seen at a standard distance of 10 parsecs. \tn % Row Count 25 (+ 5) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{H-R Diagram}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{3.833cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bittbobitty_1510569725_hr_diagram.jpg}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{HR Diagram}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{1. The main sequence stretching from the upper left (hot, luminous stars) to the bottom right (cool, faint stars) dominates the HR diagram. It is here that stars spend about 90\% of their lives burning hydrogen into helium in their cores. 2. Red giant and supergiant stars (luminosity classes I through III) occupy the region above the main sequence. They have low surface temperatures and high luminosities which means they also have large radii. Stars enter this stage after they have exhausted the hydrogen fuel in their cores and have started to burn helium and other heavier elements. 3. White dwarf stars (luminosity class D) are the final evolutionary stage of low to intermediate mass stars, and are found in the bottom left of the HR diagram. These stars are very hot but have low luminosities due to their smaller size.} \tn % Row Count 17 (+ 17) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{EM Spectrum}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{3.833cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/bittbobitty_1510571457_EM_spectrum_compare_level1_lg.jpg}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Radio waves have the lowest frequency} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{1.09856 cm} x{2.33444 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Solar Time}} \tn % Row 0 \SetRowColor{LightBackground} Apparent Solar Time & Observed from Earth. Based on the apparent motion of the actual sun. It is based on the apparent solar day, the interval between two successive returns of the sun to the local meridian. \tn % Row Count 7 (+ 7) % Row 1 \SetRowColor{white} Mean Solar Time & Is the hour angle of the sun plus twelve hours. \tn % Row Count 9 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Sun's Surface}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Sunspots are visible as dark patches on the sun's photosphere, and correspond to concentrations of magnetic field where the convective transport of heat is inhibited from the solar interior to the surface. As a result, sunsports are slightly cooler than the surrounding photosphere, and, so, they appear dark.} \tn % Row Count 7 (+ 7) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Magnetosphere}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Is the region around a planet dominated by the planet's magnetic field. Other planets in our solar system have magnetospheres, but Earth has the strongest one of all the rocky planets. It shields the planet from solar and cosmic particle radiation, as well as erosion of the atmosphere by the solar wind - the constant flow of charged particles streaming off the sun.} \tn % Row Count 8 (+ 8) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{1.40753 cm} x{2.02547 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Basic Definitions}} \tn % Row 0 \SetRowColor{LightBackground} Displacement or Distance (d) & Change in position of an object. Measured in metres (m). Specified by difference in initial and final coordinates, d = xf - xi \tn % Row Count 6 (+ 6) % Row 1 \SetRowColor{white} Velocity & Distance travelled per unit time and the direction of motion. Measured in (m/s). \tn % Row Count 10 (+ 4) % Row 2 \SetRowColor{LightBackground} Speed & The magnitude of the velocity (no direction specified) v = d/t \tn % Row Count 13 (+ 3) % Row 3 \SetRowColor{white} Acceleration & A change in velocity per unit time and the direction of that change. Measured in metres per second per second (m/s\textasciicircum{}2). a = (vf - vi)/t (for constant a). \tn % Row Count 20 (+ 7) % Row 4 \SetRowColor{LightBackground} Mass & A property of matter that determines how resistant an object is to changes in motion and how strong a gravitational force it exerts and experiences in the presence of another object. Measured in kg. \tn % Row Count 29 (+ 9) % Row 5 \SetRowColor{white} Distance Equation & d = vit + (1/2)at\textasciicircum{}2 \tn % Row Count 31 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{1.40753 cm} x{2.02547 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Newton's Laws}} \tn % Row 0 \SetRowColor{LightBackground} Inertia & The velocity of an object doesn't change unless you apply a force. \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} Momentum & p = mv. Impulse is the same as force. \tn % Row Count 5 (+ 2) % Row 2 \SetRowColor{LightBackground} Equal and Opposite Reactions & Force always comes in pairs. Equal in magnitude by opposite in direction. \tn % Row Count 9 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{0.89258 cm} x{2.54042 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Waves}} \tn % Row 0 \SetRowColor{LightBackground} Deinition & A propagating disturbance in a stable, extended medium. The properties of the medium determine the behaviour of the waves. The medium does not move. Waves carry energy and momentum. \tn % Row Count 7 (+ 7) % Row 1 \SetRowColor{white} \seqsplit{Reflection} & The incoming angle (incidence) equals the outgoing angle (reflection). \tn % Row Count 10 (+ 3) % Row 2 \SetRowColor{LightBackground} \seqsplit{Refraction} & When waves move between one medium and another and propagate at different speeds in the two media, the wave direction will bend. This is a direct concequence of the different speeds. \tn % Row Count 17 (+ 7) % Row 3 \SetRowColor{white} Doppler Effect & Wavelength changes if source is moving \tn % Row Count 19 (+ 2) % Row 4 \SetRowColor{LightBackground} \seqsplit{Interference} & Constructive or destructive \tn % Row Count 21 (+ 2) % Row 5 \SetRowColor{white} Resonance & Frequencies determined by structural properties and can be excited. \tn % Row Count 24 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{1.81949 cm} x{1.61351 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Seismic Waves}} \tn % Row 0 \SetRowColor{LightBackground} P WAVES & S WAVES \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Primary & Secondary \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} Pressure (sound) & Shear \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} Longitudinal & Transverse \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} Faster & Slower \tn % Row Count 5 (+ 1) % Row 5 \SetRowColor{white} Least damage & Most damage \tn % Row Count 6 (+ 1) % Row 6 \SetRowColor{LightBackground} Can travel through both solid and liquid & Can travel through solid, not liquid \tn % Row Count 8 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}