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Looking South from Syene Egypt Latitude: 24º N Scorpius Looking South from Athens Greece Latitude: 38º N Scorpius
Earth Shadow during Lunar Eclipse Multiple Exposure Photograph
Cyrene Tropic of Cancer Syene Alexandria
Syene Alexandria Earth 7  14 / 60 º Sunlight
North Pole South Pole Equator
South Pole North Pole Equator
Meridian North Pole South Pole Equator
South Pole North Pole Meridian Equator
South Celestial Pole North Celestial Pole Celestial  Sphere Celestial Equator
SCP NCP Celestial Meridian CEq Declination
Local Sky N W E S Horizon Zenith
SCP NCP CEq Z Below the Horizon N S E W Visible Half of the Sky
Measuring Latitude Horizon Latitude N W E S NCP CEq Zenith
N S W E Z NCP Equator Z NCP N S W E 40º N Latitude Z NCP North Pole
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
SCP NCP Obliquity of  the Ecliptic CEq Ecliptic ~23.5º
 
SCP NCP CEq Winter Solstice Summer Solstice Ecliptic
SCP NCP CEq Winter Solstice Summer Solstice Vernal Equinox Autumnal Equinox Ecliptic
W E S N NCP Summer Solstice Vernal & Autumnal Equinoxes Winter Solstice Z CEq
W E S N NCP CEq Summer Solstice Vernal & Autumnal Equinoxes Winter Solstice Z
December March June September
Equinoxes: March 20 & Sept. 22 Northern Spring/Fall Southern Fall/Spring
December 21: Winter Solstice Northern Winter Southern Summer
June 21: Summer Solstice Northern Summer Southern Winter
1 KW/m 2 1 KW/m 2 1 m 2 2 m 2
2000 Dec 21: Winter Solstice 2001 June 21: Summer Solstice 2001 Mar 20: Vernal Equinox 2001 Sept 22: Autumnal Equinox Winter Summer Summer Winter Spring Autumn Autumn Spring
Draco Ursa Minor Cepheus Thuban Polaris 2000 AD 2700 BC
Precession of the Equinoxes
Moon at Perigee Moon at Apogee
New Moon Full Moon Waning Crescent Last Quarter Waning Gibbous Waxing Gibbous Waxing Crescent First Quarter
Moonrise & Moonset at 1 st  Quarter Sunset Sunrise Midnight Moonset Noon Moonrise
Moonrise & Moonset at Full Moon Sunset Moonrise Moonrise Sunrise Midnight Noon
Moonrise & Moonset at Last Quarter Sunset Sunrise Midnight Moonrise Noon Moonset
Sidereal  vs.  Synodic Months New Moon T=0 d T=27.3 d (Sidereal) T=29.5 d (Synodic)
Penumbra Sun Earth Umbra
Sunlight Uneclipsed Moon Penumbral Eclipse Total Lunar Eclipse Partial Lunar Eclipse
Total Lunar Eclipse   (Note the ruddy scattered sunlight) Partial Lunar Eclipse
Moon Earth Sunlight Umbra Penumbra
SCP NCP CEq Ecliptic 4th 1st 2nd 3rd Cross-Quarter Days Winter Solstice Summer Solstice Vernal Equinox Autumnal Equinox
Solar & Sidereal Days T=0 h Not to Scale Noon T=23 h  56 m  04 s (Sidereal Day) T=24 h (Solar day) Noon
Earth Inferior Conjunction Superior Conjunction
Earth Maximum  Eastern Elongation Maximum Western Elongation
Conjunction Opposition Earth
Opposition Conjunction Earth Eastern Quadrature Western Quadrature
Mars Retrograde Motion in 1994/95 1995 Jan 2 1995 Mar 24 1994 Sept 24 1995 July 4
Saturn & Jupiter 4/1999 - 6/2000 Saturn Jupiter Mars  11/1998-10/1999 Venus  6-11/1999 Mercury 10-12/1999
SCP NCP Celestial Sphere (Daily E-W Motion) Ecliptic Sphere (Annual W-E Motion 23.5º tilt) Planetary Spheres (Retrograde Motions)
Less Time More Time Not to Scale First Quarter Last Quarter
Earth Deferent Epicycle
Earth Equant Center
Ptolemaic System Saturn Mars Jupiter Sun Mercury Venus Earth
Earth Venus Mercury Sun Solar System Mars Jupiter Saturn
Earth Mars Retrograde Motion
Venus Maximum  Eastern Elongation 1 AU D Venus 46º
F 1 F 2 Semimajor Axis Center
T=0 d Equal Areas in Equal Times T=10 d T=0 d T=10 d
Jan 10 Jan 11 Jan 12 Jan 13 Jan 19 Jan 18 Jan 15 Jan 16
Io Europa Ganymede Callisto
Copernican System 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
Falling Apple : Changing  Speed (gets faster as it falls) Same  Direction (always falls down)
Ball Swung around on a String : Same  Speed, (in uniform circular motion) Changing  Direction (swinging around the circle)
Donut Swung around on a String Force Acceleration
Equal and Opposite Force from the Table Net Force is Zero,  No Net Motion Force = (apple’s mass)    (acceleration due to gravity)
M 1 M 2 d M 1 M 2 2d M 1 M 2 d/2
2M 1 M 2 d M 1 M 2 d 2M 1 2M 2 d
 
Conic Section Curves Parabola Hyperbola Circle Ellipse
Parabola v = v E Hyperbola v>v E Ellipse v C <v<v E Circle v = v C Ellipse v<v C
Columbus, Ohio 40º N: 1280 km/h Arctic Circle 66.5º N: 666 km/h Equator 1670 km/h
 
6 hours later Towards Sirius
Frequency (f)  (# waves/second) Wavelength (  ) Speed (c)
B=1 B=1/9 B=1/4 d=1 d=2 d=3
Doppler Effect in Sound High Pitch (short waves) Low Pitch (long waves)
Half-Life = 35 sec T=0 s 0 popped 16 unpopped T=35 s 8 popped 8 unpopped
Hot Gas Faster Average Speeds Cool Gas Slow Average Speeds
Prisms disperse light into its component colors Prism Spectrum White Light
Continuum Source Continuous Spectrum Absorption-line Spectrum Emission-line Spectrum Cloud of  Hydrogen Gas
Hydrogen Helium Oxygen Neon Iron
Continuum Source Cloud of  Hydrogen Gas Lamp Light Absorbed by  Hydrogen Atoms in the Cloud Lamp emits light at all energies
Energy Level  Diagram of  1 H Continuum n=1 (Ground State) n=3 (2 nd  excited state) n=2 (1 st  excited state) n=4 n=5 n= 
Larger Jump = More Energy = Bluer Wavelength n=1 (Ground State) n=3 (2 nd  excited state) n=2 (1 st  excited state) n=4 n=5 n=3  2 6  2 5  2 4  2 n=6
Photons of all other energies (wavelengths) are  ignored and pass on by unabsorbed. n=1 (Ground State) n=3 (2 nd  excited state) n=2 (1 st  excited state) n=4 n=5 n=2  3 2  6 2  5 2  4 n=6
Spectrum of a Fluorescent Light Mercury
Lens Retina Collecting Area
Simple Refracting Telescope Objective Lens Secondary Lens  (Eyepiece) Focus
Primary Mirror Prime  Focus Secondary  Mirror Cassegrain  Focus
4.5 Billion Years Ago 238 U 206 Pb 235 U 207 Pb 238 U 206 Pb 235 U 207 Pb Today 1 half-life 6.3 half-lives 50% left 1.2% left
Seismic Station Lower Mantle Core Upper Mantle Crust Seismic Station P-waves Surface Waves S waves P & S waves Earthquake!
Two Faces of the Moon Near Side Far Side Maria Impact Basin Cratered Highlands
Apollo and Luna Landing Sites A12 A14 A15 A17 A11 A16 L24 L20 L16
Mars Earth Venus Mercury Pluto Neptune Uranus Saturn Jupiter
Pluto Ecliptic
Molecular Hydrogen Metallic Hydrogen Jupiter Interior “ Ice” Rock
Molecular Hydrogen Metallic  Hydrogen “ Ice” Saturn Interior Rock
Interiors of Uranus & Neptune Uranus Neptune Rocky Cores Slushy “ Ice”Mantles Molecular Hydrogen
Metallic Hydrogen Jupiter Saturn Uranus Neptune Earth
S S P P Star’s spectrum shifts  redward Star’s spectrum shifts  blueward

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Looking South from Egypt and Greece to observe stars and constellations