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Looking South from Syene Egypt Latitude: 24º N Scorpius Looking South from Athens Greece Latitude: 38º N Scorpius
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Earth Shadow during Lunar Eclipse Multiple Exposure Photograph
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Alexandria Cyrene Tropic of Cancer Syene
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Alexandria Earth 7 14 / 60 º Sunlight
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North Pole South Pole Equator
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South Pole Equator North Pole
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Meridian North Pole South Pole Equator
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South Pole Equator North Pole Meridian
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South Celestial Pole North Celestial Pole Celestial Sphere Celestial Equator
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SCP NCP Celestial Meridian CEq Declination
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N W E S Horizon Zenith Local Sky
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SCP NCP CEq Below the Horizon N S E W Z Visible Half of the Sky
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Horizon Measuring Latitude N W E S NCP CEq Zenith Latitude
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N S W E Z NCP Equator Z NCP N S W E 40º N Latitude Z NCP North Pole
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Zenith W E S N NCP CEq Never Sets Above Horizon for 12 h Above Horizon for > 12 h Above Horizon for < 12 h Never Rises
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SCP NCP CEq Ecliptic ~23.5º Obliquity of the Ecliptic
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SCP NCP CEq Winter Solstice Summer Solstice Ecliptic
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SCP NCP CEq Winter Solstice Summer Solstice Vernal Equinox Autumnal Equinox Ecliptic
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W E S N NCP Summer Solstice Vernal & Autumnal Equinoxes Winter Solstice Z CEq
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W E S N NCP CEq Summer Solstice Vernal & Autumnal Equinoxes Winter Solstice Z
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December March June September
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Equinoxes: March 20 & Sept. 22 Northern Spring/Fall Southern Fall/Spring
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December 21: Winter Solstice Northern Winter Southern Summer
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June 21: Summer Solstice Northern Summer Southern Winter
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1 KW/m 2 1 m 2 2 m 2
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2000 Dec 21: Winter Solstice 2001 June 21: Summer Solstice 2001 Mar 20: Vernal Equinox 2001 Sept 22: Autumnal Equinox Winter Summer Winter Spring Autumn Spring
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Draco Ursa Minor Cepheus Thuban Polaris 2000 AD 2700 BC
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Precession of the Equinoxes
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Moon at PerigeeMoon at Apogee
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New Moon Full Moon Waning Crescent Last Quarter Waning Gibbous Waxing Gibbous Waxing Crescent First Quarter
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Sunset Sunrise Midnight Moonset Noon Moonrise Moonrise & Moonset at 1 st Quarter
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Sunset Moonrise Sunrise Midnight Noon Moonrise & Moonset at Full Moon
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Sunset Sunrise Midnight Moonrise Noon Moonset Moonrise & Moonset at Last Quarter
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Sidereal vs. Synodic Months New Moon T=0 d T=27.3 d (Sidereal) T=29.5 d (Synodic)
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Penumbra Sun Earth Umbra
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Sunlight Uneclipsed Moon Penumbral Eclipse Total Lunar Eclipse Partial Lunar Eclipse
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Total Lunar Eclipse (Note the ruddy scattered sunlight) Partial Lunar Eclipse
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Sunlight Umbra Penumbra Moon Earth
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SCP NCP CEq Ecliptic 4th 1st 2nd 3rd Cross-Quarter Days Winter Solstice Summer Solstice Vernal Equinox Autumnal Equinox
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Noon T=0 h T=23 h 56 m 04 s (Sidereal Day) T=24 h (Solar day) Noon Not to Scale Solar & Sidereal Days
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Inferior Conjunction Superior Conjunction Earth
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Maximum Eastern Elongation Maximum Western Elongation Earth
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Conjunction Opposition Earth
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Opposition Conjunction Eastern Quadrature Western Quadrature Earth
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Mars Retrograde Motion in 1994/95 1995 Jan 2 1995 Mar 24 1994 Sept 24 1995 July 4
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Saturn & Jupiter 4/1999 - 6/2000 Saturn Jupiter Mars 11/1998-10/1999 Venus 6-11/1999 Mercury 10-12/1999
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SCP NCP Celestial Sphere (Daily E-W Motion) Ecliptic Sphere (Annual W-E Motion 23.5º tilt) Planetary Spheres (Retrograde Motions)
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Less Time More Time First Quarter Last Quarter Not to Scale
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Earth Deferent Epicycle
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Earth Equant Center
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Saturn Mars Jupiter Sun Mercury Venus Earth Ptolemaic System
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Mars Jupiter Saturn Earth Venus Mercury Sun Solar System
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Earth Mars Retrograde Motion
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Venus Maximum Eastern Elongation 1 AU D Venus 46º
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F1F1 F2F2 Semimajor Axis Center
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T=0 d T=10 d T=0 d T=10 d Equal Areas in Equal Times
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Jan 10 Jan 11 Jan 12 Jan 13 Jan 19 Jan 18 Jan 15 Jan 16
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Io Europa Ganymede Callisto
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Ptolemaic System 3 3 4 4 2 2 1 1 5 5 6 6 6 6 5 5 4 4 3 3 2 2 1 1 Copernican System
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Falling Apple: Changing Speed (gets faster as it falls) Same Direction (always falls down)
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Ball Swung around on a String: Same Speed, (in uniform circular motion) Changing Direction (swinging around the circle)
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Donut Swung around on a String Force Acceleration
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Force = (apple’s mass) (acceleration due to gravity) Equal and Opposite Force from the Table Net Force is Zero, No Net Motion
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M1M1 M2M2 d M1M1 M2M2 2d M1M1 M2M2 d/2
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2M 1 M2M2 d M1M1 M2M2 d 2M 2 d
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Parabola Hyperbola CircleEllipse Conic Section Curves
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Parabola v = v E Hyperbola v>v E Ellipse v C <v<v E Circle v = v C Ellipse v<v C
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Columbus, Ohio 40º N: 1280 km/h Arctic Circle 66.5º N: 666 km/h Equator 1670 km/h
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6 hours later Towards Sirius
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Wavelength ( ) Speed (c) Frequency (f) (# waves/second)
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d=1 d=2 d=3 B=1 B=1/9 B=1/4
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Doppler Effect in Sound High Pitch (short waves) Low Pitch (long waves)
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T=0 s 0 popped 16 unpopped T=35 s 8 popped 8 unpopped Half-Life = 35 sec
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Hot Gas Faster Average Speeds Cool Gas Slow Average Speeds
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Spectrum Prism White Light Prisms disperse light into its component colors
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Continuum Source Continuous Spectrum Absorption-line Spectrum Emission-line Spectrum Cloud of Hydrogen Gas
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Hydrogen Helium Oxygen Neon Iron
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Continuum Source Cloud of Hydrogen Gas Lamp Light Absorbed by Hydrogen Atoms in the Cloud Lamp emits light at all energies
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n=1 (Ground State) n=3 (2 nd excited state) n=2 (1 st excited state) n=4 n=5 Energy Level Diagram of 1 H Continuum n=
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n=1 (Ground State) n=3 (2 nd excited state) n=2 (1 st excited state) n=4 n=5 n=3 2626252524242 Larger Jump = More Energy = Bluer Wavelength n=6
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n=1 (Ground State) n=3 (2 nd excited state) n=2 (1 st excited state) n=4 n=5 Photons of all other energies (wavelengths) are ignored and pass on by unabsorbed. n=2 3262625252424 n=6
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Spectrum of a Fluorescent Light Mercury
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Collecting Area Lens Retina
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Simple Refracting Telescope Objective Lens Secondary Lens (Eyepiece) Focus
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Primary Mirror Prime Focus Secondary Mirror Cassegrain Focus
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238 U 206 Pb 235 U 207 Pb 4.5 Billion Years Ago 238 U 206 Pb 235 U 207 Pb Today 1 half-life6.3 half-lives 50% left 1.2% left
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Seismic Station Lower Mantle Core Upper Mantle Crust Seismic Station Surface Waves P-waves S waves P & S waves Earthquake!
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Near Side Far Side Two Faces of the Moon Maria Impact Basin Cratered Highlands
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A12 A14 A15 A17 A11 A16 L24 L20 L16 Apollo and Luna Landing Sites
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Mars Earth Venus Mercury Pluto Neptune Uranus Saturn Jupiter
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Pluto Ecliptic
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Molecular Hydrogen Metallic Hydrogen “Ice” Rock Jupiter Interior
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Molecular Hydrogen Metallic Hydrogen “Ice” Rock Saturn Interior
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Interiors of Uranus & Neptune Uranus Neptune Rocky Cores Slushy “Ice”Mantles Molecular Hydrogen
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Metallic Hydrogen Jupiter Saturn Uranus Neptune Earth
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S S P P Star’s spectrum shifts redward Star’s spectrum shifts blueward
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