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Astro 10B Study Guide rev. 1/26/2007 Astronomy 10B Study Guide – by Chapter Know all of these points and you will do well PROLOGUE (& THE GAS LAW) What is Astronomy? Scientific Study Everything in the Universe – plus the Universe itself Planets, stars, comets, galaxies, black holes, etc Matter, energy, space and time Origins are in Astrology – but Astronomy is a science; Astrology is not Many astronomers really hate Astrology, but they have no sense of humor! What is Science? The purpose of science to produce explanations, models or theories The scientific method (not the simplified one everyone knows) Definitions of terms (e.g. theory, hypothesis, prediction, etc) Philosophical underpinnings of science Scientific Notation The Gas Law (PV = nRT) Almost all matter in the universe is the form of Gas or plasma Definitions of pressure, volume, number, temperature, Kelvins, density Playground analogy The other version of the Gas Law, which is more useful to us: P = ρT Equation of State tells us how a change in P or ρ changes the other CHAPTER 1. Night Sky – looks dome-shaped Definition of terms (e.g. zenith and horizon) Sky all rotates from East to West → Earth rotates opposite direction Constellations The Celestial Sphere Definitions of terms (e.g. celestial equator, ecliptic, north celestial pole) Coordinate system of the celestial sphere (RA & Dec) North Star directly above Earth’s North pole + circumpolar stars How does the North Star tell you your latitude? Solar System View Sun is at center of solar system all planets orbit around in nearly a plane (which explains the ecliptic) All planets orbit in the same direction (CCW as seen from NCP) Most planets spin in the same direction (CCW as seen from NCP) Astronomical Unit is the distance from the Earth = 9.3x108 mi (1.5x109km) CHAPTER 2 – KEPLER’S & NEWTON’S LAWS (IMPORTANT!) Kepler's laws (true for most all orbits – not just solar system) K1: First law orbits are ellipses, w/ sun at one focus definition of eccentricity, focus, etc (What’s eccentricity of Earth’s orbit?) K2: Second law says planets sweep equal area in equal times Planets speed up when in the part of the orbit nearest the Sun K2 is equivalent to conservation of angular momentum K3: Third law is the equation: P2 = k D3 Planets with bigger orbit size have much bigger orbital periods Used to find mass of objects with satellites because k = 1/(m1 + m2) Newton’s laws of motions Definitions of velocity, speed, direction, mass, and acceleration N1: Law of inertia - objects stay at constant velocity unless acted upon by a force N2: F = ma This gives us the definition of force – it is that which causes change in V N3: Law of action-reaction Normal version is confusing for our purposes My version: Forces act between 2 bodies, pulling them together or pushing them apart. If an object is traveling in a perfectly circular path at a uniform speed is there necessarily a force involved? Newton's law of gravity: F = G M1 M2 / R2 Definition of terms: force, mass, distance, etc Force of gravity increases when either mass increases Force of gravity decreases when distance increases Newton showed what relationship between the Moon and an apple? Which falls faster a heavier object or a lighter one? CHAPTER 3 - EARTH, MOON AND SKY Reasons for the Seasons The #1 wrong reason, changes in the Sun-Earth distance Flawed because we’re closest to Sun in January Flawed because seasons are flipped in N-S hemispheres The right reason: tilt (it is more complicated but it is right) The tilt changes the hours of sunlight over the course of a year (how?) The tilt changes the angle the sunlight hits the ground (how spread out it is) If you don’t know the reasons for the seasons, who was your astronomy instructor? Phases of the Moon Definitions (e.g. new, full, crescent, gibbous, waxing, waning and terminator) Explanation for lunar phases (Sun illuminates it, we see it from dif angles) Time of moonrise depends on phase 50 minutes later each successive day Solar eclipse happens only during New Moon, Lunar eclipse – Full Moon Solar and Sidereal Days Mean Solar Day is 24h and 361o Sidereal Day is 23h56m and 360o Explanation, Earth orbits Sun as it spins Stars rise 4minute earlier each successive night Winter and Summer constellations Tides Differences in the strength of gravity in near & far side – stretches planets, etc Moon and Sun both cause tides Spring tides and Neap tides CHAPTER 4 – LIGHT, RADIATION AND SPECTRA Electromagnetic Waves Definitions (Electricity, Magnetism, wavelength, frequency, etc) Electricity + Magnetism = Electromagnetism E fields and M fields can cause waves EM waves (AKA light, EM radiation) Equation: λf = c (if you know λ or f you can find the other) The Electromagnetic Spectrum They are all light: Radio, IR, Visible, UV, X-ray, Gamma-Ray The only difference is light with different λ interacts w/ matter differently Photons: packets of energy E = fh So Low E → low f → long λ Cannot measure wavelike and particle-like properties of light at same time Atomic Structure Nucleus Protons – number of which tells us which element it is Neutrons – number of which tells us which isotope it is Has almost all of the mass of an atom Electron cloud Electrons – number of which tells us the ionization state of the atom Cloud is divided into orbitals – each with its own energy level Atomic Spectral Lines An electron has to have exact energy to inhabit an orbital All transitions between orbitals require exact changes of energy Each element only emits/absorbs photons w/ specific energies We use these spectral lines to learn the composition of stars, etc We use these lines w/ Doppler & Zeeman effects to learn other things, too Types of Spectra Bright Line Spectrum (Emission line spectrum) Shows the atomic spectral lines bright Comes from a gas Continuous Spectrum Shows all the colors of the rainbow, unbroken Comes from solids, liquids and dense gases We can measure temperature of objects with λmax • T = 3x106 nm•K Dark Line Spectrum (Absorption line spectrum) Atomic spectral lines dark, against continuous spectrum background Comes from gases in front of solids, liquids or dense gases Astro 10B Study Guide rev. 1/26/2007 Which spectrum does the Sun have? The Moon? A Neon sign? etc Energy Transport in the Sun Doppler Effect Radiative zone – a few 100,000 years It affects sound waves as well as light waves Convective zone – a few months If light source is coming toward you, wavelength, λ is reduced (blue shift) From Sun to Earth 500 seconds If light source is going away from you, wavelength, λ is increased (red shift) Helioseismology (studying the Sun by looking at its sound waves) The amount of shift (Δλ) is proportional to the speed of the light source Five minute oscillations – resonances of the Sun Δλ/ λ = v/c Detect these sound waves by watching the photosphere bounce up & down If moving at an angle (not directly toward or away) shift doesn’t give true speed By comparing different resonant frequencies we can probe inside the Sun True speed is a combination of line-of-sight speed and tangential speed Compare to embassy spying analogy To determine true speed we need to either: Helioseismology has taught us many things including these Determine the angle somehow Rotation of the solar interior Measure both LOS speed and tangential speed Temperature of solar interior Deep within the Sun just beneath sunspots CHAPTER 6 THE SUN – EARTH CONNECTION Motions of the plasma inside the Sun Solar Composition Convection Hydrogen ~90% Larger ‘rivers’ of plasma within the Sun Helium ~9% All else ~1% Solar Structure The ‘Atmosphere’ of the Sun Photosphere is surface – source of the light we see (6000K) Above that: Chromosphere – Thin, almost transparent/pink (100,000K) Above that: Corona – Very thin (non-dense) and very hot (1,000,000K) Above that: The Solar Wind – blows out throughout solar system The Solar Interior Photosphere is surface Below that is the Convective Zone – gets very hot and dense (varies) Below that is the Radiative Zone – gets hotter and denser Below that is the Core – extremely hot and dense Nuclear fusion occurs here because > 12,000,000K Solar Magnetism The plasma moves along magnetic fields like beads on a string Plasma cannot ‘cross’ magnetic fields lines We measure magnetism using the Zeeman effect Magnetic fields cause a number of phenomena Sunspots – darker and cooler than regular photosphere Plages – brighter, spider-web like things Flares – X-ray explosions more powerful than 1,000,000 H-bombs Can injure astronauts in space Can damage spacecraft Also release bursts of high speed electrons and protons Coronal Mass Ejection’s (CME’s) – ejections of hot plasma Sometimes they have magnetic fields These mag fields can tangle with Earth’s causing blackouts Often cause Aurora Borealis Can damage spacecraft Prominences – loops of magnetic fields sticking up from the Sun We can see them because the stick off to the sides We can see them because the hot plasma moves The Solar Cycle There is an 11-year cycle for magnetic activity on the Sun All magnetic phenomena follow this cycle We have observed this for ~400 years By indirect means we can study it farther back The Sun produces a tiny but extra energy when at a maximum In mid 1600’s the solar cycle disappeared - Maunder Minimum The Little Ice Age happened around the same time as this There is still some debate whether the two are linked CHAPTER 7 THE SUN – NUCLEAR ENERGY Nuclear Fusion The Proton-Proton chain Three step process The CNO cycle (not as important in the Sun, but important in bigger stars) Six step process Mass-Energy Conversion E = mc2 The Sun turns 4x106 tons of matter into Energy per second The Sun turns 6x108 tons of Hydrogen into Helium per second