\contentsline {section}{\numberline {1}\bf Tools for Success in ASTR 1115G}{1} \contentsline {subsection}{\numberline {1.1}Introduction}{1} \contentsline {subsection}{\numberline {1.2}A Note About Ratios}{1} \contentsline {subsection}{\numberline {1.3}The Metric System}{3} \contentsline {subsection}{\numberline {1.4}Beyond the Metric System}{3} \contentsline {subsection}{\numberline {1.5}Changing Units and Scale Conversion}{4} \contentsline {subsubsection}{\numberline {1.5.1}Map Exercises}{4} \contentsline {subsection}{\numberline {1.6}Squares, Square Roots, and Exponents}{6} \contentsline {subsection}{\numberline {1.7}Scientific Notation}{7} \contentsline {subsection}{\numberline {1.8}Calculator Issues}{9} \contentsline {subsubsection}{\numberline {1.8.1}Scientific Notation on a Calculator}{9} \contentsline {subsubsection}{\numberline {1.8.2}Order of Operations}{10} \contentsline {subsection}{\numberline {1.9}Graphing and/or Plotting}{10} \contentsline {subsubsection}{\numberline {1.9.1}The Mechanics of Plotting}{11} \contentsline {subsubsection}{\numberline {1.9.2}Plotting and Interpreting a Graph}{12} \contentsline {subsection}{\numberline {1.10}Does it Make Sense?}{14} \contentsline {subsection}{\numberline {1.11}Putting it All Together}{15} \contentsline {section}{\numberline {2}\bf Scale Model of the Solar System}{17} \contentsline {subsection}{\numberline {2.1}Introduction}{17} \contentsline {subsection}{\numberline {2.2}The Distances of the Planets From the Sun}{18} \contentsline {subsection}{\numberline {2.3}Sizes of Planets}{19} \contentsline {subsection}{\numberline {2.4}Questions About the Football Field Model}{21} \contentsline {subsection}{\numberline {2.5}Take Home Exercise (35 points total)}{23} \contentsline {subsection}{\numberline {2.6}Possible Quiz Questions}{26} \contentsline {subsection}{\numberline {2.7}Extra Credit (ask your TA for permission before attempting, 5 points)}{26} \contentsline {section}{\numberline {3}The Origin of the Seasons}{27} \contentsline {subsection}{\numberline {3.1}Introduction}{27} \contentsline {subsection}{\numberline {3.2}The Seasons}{27} \contentsline {subsection}{\numberline {3.3}The Spinning, Revolving Earth}{32} \contentsline {subsection}{\numberline {3.4}Elevation Angle and the Concentration of Sunlight}{38} \contentsline {subsection}{\numberline {3.5}Summary (35 points)}{43} \contentsline {subsection}{\numberline {3.6}Possible Quiz Questions}{43} \contentsline {subsection}{\numberline {3.7}Extra Credit (ask your TA for permission before attempting, 5 points)}{43} \contentsline {section}{\numberline {4}\bf Phases of the Moon}{44} \contentsline {subsection}{\numberline {4.1}Introduction}{44} \contentsline {subsection}{\numberline {4.2}Exercise 1 (10 points)}{46} \contentsline {subsection}{\numberline {4.3}Exercise 2 (10 points)}{47} \contentsline {subsection}{\numberline {4.4}Exercise 3 (10 points)}{48} \contentsline {subsection}{\numberline {4.5}Lunar Phases, and When They Are Observable}{49} \contentsline {subsection}{\numberline {4.6}Exercise 4 (6 points)}{50} \contentsline {subsection}{\numberline {4.7}Exercise 5 (6 points)}{51} \contentsline {subsection}{\numberline {4.8}Exercise 6 (6 points)}{52} \contentsline {subsection}{\numberline {4.9}Demonstrating Your Understanding of Lunar Phases}{53} \contentsline {subsection}{\numberline {4.10}Take-Home Exercise (35 points total)}{54} \contentsline {subsection}{\numberline {4.11}Possible Quiz Questions}{54} \contentsline {subsection}{\numberline {4.12}Extra Credit (make sure you get permission from your TA before attempting, 5 points)}{54} \contentsline {section}{\numberline {5}\bf Kepler's Laws}{56} \contentsline {subsection}{\numberline {5.1}Introduction}{56} \contentsline {subsection}{\numberline {5.2}Gravity}{57} \contentsline {subsection}{\numberline {5.3}Kepler's Laws}{58} \contentsline {subsection}{\numberline {5.4}Going Beyond the Solar System}{66} \contentsline {subsection}{\numberline {5.5}Take Home Exercise (35 points total)}{70} \contentsline {subsection}{\numberline {5.6}Possible Quiz Questions}{70} \contentsline {section}{\numberline {6}The Power of Light: Understanding Spectroscopy}{71} \contentsline {subsection}{\numberline {6.1}Introduction}{71} \contentsline {subsection}{\numberline {6.2}Blackbody Radiation}{72} \contentsline {subsection}{\numberline {6.3}Absorption and Emission Lines}{72} \contentsline {subsubsection}{\numberline {6.3.1}The Bohr Model of the Atom}{72} \contentsline {subsubsection}{\numberline {6.3.2}Kirchoff's Laws}{75} \contentsline {subsection}{\numberline {6.4}Creating a Spectrum}{76} \contentsline {subsection}{\numberline {6.5}Observing Blackbody Sources with the Spectrograph}{77} \contentsline {subsection}{\numberline {6.6}Quantitative Behavior of Blackbody Radiation}{78} \contentsline {subsection}{\numberline {6.7}Spectral Lines Experiment}{79} \contentsline {subsubsection}{\numberline {6.7.1}Spark Tubes}{79} \contentsline {subsubsection}{\numberline {6.7.2}Emission-line Spectra Experiment}{80} \contentsline {subsubsection}{\numberline {6.7.3}The Unknown Element}{82} \contentsline {subsection}{\numberline {6.8}Questions}{83} \contentsline {subsection}{\numberline {6.9}Summary (35 points)}{84} \contentsline {subsection}{\numberline {6.10}Possible Quiz Questions}{84} \contentsline {subsection}{\numberline {6.11}Extra Credit (ask your TA for permission before attempting, 5 points)}{84} \contentsline {section}{\numberline {7}Optics}{85} \contentsline {subsection}{\numberline {7.1}Introduction}{85} \contentsline {subsection}{\numberline {7.2}Discussion}{85} \contentsline {subsection}{\numberline {7.3}Reflective Optics: Mirrors}{86} \contentsline {subsection}{\numberline {7.4}Refractive Optics: Lenses}{90} \contentsline {subsection}{\numberline {7.5}Making a Telescope}{93} \contentsline {subsubsection}{\numberline {7.5.1}The Magnifying and Light Collecting Power of a Telescope}{95} \contentsline {subsection}{\numberline {7.6}Summary (35 points)}{98} \contentsline {subsection}{\numberline {7.7}Possible Quiz Questions}{98} \contentsline {subsection}{\numberline {7.8}Extra Credit (ask your TA for permission before attempting, 5 points )}{98} \contentsline {section}{\numberline {8}Measuring Distances Using Parallax}{99} \contentsline {subsection}{\numberline {8.1}Introduction}{99} \contentsline {subsection}{\numberline {8.2}Parallax in the classroom}{100} \contentsline {subsection}{\numberline {8.3}Measuring distances using parallax}{101} \contentsline {subsubsection}{\numberline {8.3.1}Angular motion of an object}{101} \contentsline {subsubsection}{\numberline {8.3.2}Distance between the vantage points}{102} \contentsline {subsubsection}{\numberline {8.3.3}Using parallax measurements to determine the distance to an object}{102} \contentsline {subsection}{\numberline {8.4}Using Parallax to measure distances on Earth, and within the Solar System}{104} \contentsline {subsubsection}{\numberline {8.4.1} The ``Non-Tangent'' way to figure out distances from angles}{104} \contentsline {subsection}{\numberline {8.5}Distances to stars using parallax, and the ``Parsec''}{105} \contentsline {subsection}{\numberline {8.6}Questions}{106} \contentsline {subsection}{\numberline {8.7}Summary (35 points) }{109} \contentsline {subsection}{\numberline {8.8}Possible Quiz Questions}{109} \contentsline {subsection}{\numberline {8.9}Extra Credit (ask your TA for permission before attempting, 5 points )}{109} \contentsline {section}{\numberline {9}Our Sun}{110} \contentsline {subsection}{\numberline {9.1}Introduction}{110} \contentsline {subsection}{\numberline {9.2}Layers of the Sun}{111} \contentsline {subsection}{\numberline {9.3}Sunspots}{111} \contentsline {subsection}{\numberline {9.4}Solar Phenomenon}{112} \contentsline {subsection}{\numberline {9.5}Lab Exercises}{113} \contentsline {subsubsection}{\numberline {9.5.1}Exercise \#1: Getting familiar with the Size and Appearance of the Sun}{114} \contentsline {subsubsection}{\numberline {9.5.2}Exercise \#2: Exploring Magnetic Fields}{118} \contentsline {subsubsection}{\numberline {9.5.3}Exercise \#3: Looking at the Sun}{121} \contentsline {subsection}{\numberline {9.6}Summary (35 points)}{123} \contentsline {subsection}{\numberline {9.7}Extra Credit (ask your TA for permission before attempting, 5 points)}{123} \contentsline {section}{\numberline {10}The Hertzsprung-Russell Diagram}{124} \contentsline {subsection}{\numberline {10.1}Introduction}{124} \contentsline {subsection}{\numberline {10.2}Magnitudes and Color Index}{126} \contentsline {subsection}{\numberline {10.3}The Color-Magnitude HR Diagram}{128} \contentsline {subsection}{\numberline {10.4}The Color-Magnitude Diagram for the Pleiades}{128} \contentsline {subsubsection}{\numberline {10.4.1}Procedure}{133} \contentsline {subsubsection}{\numberline {10.4.2}Converting Diameters to Magnitudes}{133} \contentsline {subsubsection}{\numberline {10.4.3}Constructing a Color-Magnitude Diagram}{134} \contentsline {subsection}{\numberline {10.5}Results}{134} \contentsline {subsection}{\numberline {10.6}Summary (35 points)}{137} \contentsline {subsection}{\numberline {10.7}Possible Quiz Questions}{137} \contentsline {subsection}{\numberline {10.8}Extra Credit (ask your TA for permission before attempting, 5 points)}{137} \contentsline {section}{\numberline {11}\bf Characterizing Exoplanets}{140} \contentsline {subsection}{\numberline {11.1}Introduction}{140} \contentsline {subsection}{\numberline {11.2}Types of Exoplanets}{140} \contentsline {subsubsection}{\numberline {11.2.1}Gas Giants}{140} \contentsline {subsubsection}{\numberline {11.2.2}Hot Jupiters}{140} \contentsline {subsubsection}{\numberline {11.2.3}Water Worlds}{141} \contentsline {subsubsection}{\numberline {11.2.4}Exo-Earths}{141} \contentsline {subsubsection}{\numberline {11.2.5}Super-Earths}{141} \contentsline {subsubsection}{\numberline {11.2.6}Chthonian Planets}{141} \contentsline {subsection}{\numberline {11.3}Detection Methods}{141} \contentsline {subsubsection}{\numberline {11.3.1}Transit Method/Light Curves}{141} \contentsline {subsubsection}{\numberline {11.3.2}Direct Detection}{142} \contentsline {subsubsection}{\numberline {11.3.3}Radial Velocity (Stellar Wobble)}{143} \contentsline {subsection}{\numberline {11.4}Characterizing Exoplanets from Transit Light Curves}{144} \contentsline {subsection}{\numberline {11.5}Deriving Parameters from Transit Light Curves}{145} \contentsline {subsection}{\numberline {11.6}The Habitable Zone}{153} \contentsline {subsection}{\numberline {11.7}Classifying Your Exoplanets}{155} \contentsline {subsection}{\numberline {11.8}Take Home Exercise (35 points total)}{158} \contentsline {subsection}{\numberline {11.9}Possible Quiz Questions}{158} \contentsline {subsection}{\numberline {11.10}Extra Credit (ask your TA for permission before attempting, 5 points )}{158} \contentsline {section}{\numberline {12}Galaxy Morphology}{160} \contentsline {subsection}{\numberline {12.1}Introduction}{160} \contentsline {subsection}{\numberline {12.2}Our Home: The Milky Way Galaxy}{160} \contentsline {subsection}{\numberline {12.3}Galaxy Types: Spirals Ellipticals, and Irregulars}{162} \contentsline {subsubsection}{\numberline {12.3.1}Spiral Galaxies}{163} \contentsline {subsubsection}{\numberline {12.3.2}Elliptical Galaxies}{164} \contentsline {subsubsection}{\numberline {12.3.3}Irregular Galaxies}{166} \contentsline {subsubsection}{\numberline {12.3.4}Galaxy Classification Issues}{166} \contentsline {subsection}{\numberline {12.4}Lab Exercises}{167} \contentsline {subsection}{\numberline {12.5}Summary (35 points)}{179} \contentsline {subsection}{\numberline {12.6}Possible Quiz Questions}{179} \contentsline {subsection}{\numberline {12.7}Extra Credit (ask your TA for permission before attempting, 5 points)}{179} \contentsline {section}{\numberline {13}Hubble's Law: Finding the Age of the Universe}{180} \contentsline {subsection}{\numberline {13.1}Introduction}{180} \contentsline {subsection}{\numberline {13.2}Doppler Shift}{180} \contentsline {subsection}{\numberline {13.3}Hubble's Law}{182} \contentsline {subsection}{\numberline {13.4}The Age of the Universe}{185} \contentsline {subsection}{\numberline {13.5}How Do we Measure Distances to Galaxies and Galaxy Clusters?}{186} \contentsline {subsection}{\numberline {13.6}Questions}{188} \contentsline {subsection}{\numberline {13.7}Summary (35 points)}{189} \contentsline {subsection}{\numberline {13.8}Extra Credit (ask your TA for permission before attempting, 5 points)}{189} \contentsline {section}{\numberline {14}How Many Galaxies are there in the Universe?}{190} \contentsline {subsection}{\numberline {14.1}Introduction}{190} \contentsline {subsection}{\numberline {14.2}Exercise Section}{190} \contentsline {subsubsection}{\numberline {14.2.1}Direct Measurement, Measurement Error}{190} \contentsline {subsubsection}{\numberline {14.2.2}Estimation}{191} \contentsline {subsection}{\numberline {14.3}How many galaxies are there in the Universe?}{191} \contentsline {subsection}{\numberline {14.4}The Mass and Density of the Universe (Contained in Galaxies)}{195} \contentsline {subsection}{\numberline {14.5}Summary (35 points)}{199} \contentsline {subsection}{\numberline {14.6}Possible Quiz Questions}{199} \contentsline {subsection}{\numberline {14.7}Extra Credit (ask your TA for permission before attempting, 5 points)}{199} \contentsline {section}{\numberline {15}APPENDIX A: Fundamental Quantities}{201} \contentsline {section}{\numberline {16}APPENDIX B: Accuracy and Significant Digits}{202} \contentsline {section}{\numberline {17}APPENDIX C: Unit Conversions}{203} \contentsline {section}{\numberline {18}APPENDIX D: Uncertainties and Errors}{204} \contentsline {section}{\numberline {19}Observatory Worksheets}{205}