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
Alexandria Cyrene Tropic of Cancer Syene
Alexandria Earth 7 14 / 60 º Sunlight
North Pole South Pole Equator
South Pole Equator North Pole
Meridian North Pole South Pole Equator
South Pole Equator North Pole Meridian
South Celestial Pole North Celestial Pole Celestial Sphere Celestial Equator
SCP NCP Celestial Meridian CEq Declination
N W E S Horizon Zenith Local Sky
SCP NCP CEq Below the Horizon N S E W Z Visible Half of the Sky
Horizon Measuring Latitude N W E S NCP CEq Zenith Latitude
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 CEq Ecliptic ~23.5º Obliquity of the Ecliptic
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 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 Winter Spring Autumn Spring
Draco Ursa Minor Cepheus Thuban Polaris 2000 AD 2700 BC
Precession of the Equinoxes
Moon at PerigeeMoon at Apogee
New Moon Full Moon Waning Crescent Last Quarter Waning Gibbous Waxing Gibbous Waxing Crescent First Quarter
Sunset Sunrise Midnight Moonset Noon Moonrise Moonrise & Moonset at 1 st Quarter
Sunset Moonrise Sunrise Midnight Noon Moonrise & Moonset at Full Moon
Sunset Sunrise Midnight Moonrise Noon Moonset Moonrise & Moonset at Last Quarter
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
Sunlight Umbra Penumbra Moon Earth
SCP NCP CEq Ecliptic 4th 1st 2nd 3rd Cross-Quarter Days Winter Solstice Summer Solstice Vernal Equinox Autumnal Equinox
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
Inferior Conjunction Superior Conjunction Earth
Maximum Eastern Elongation Maximum Western Elongation Earth
Conjunction Opposition Earth
Opposition Conjunction Eastern Quadrature Western Quadrature Earth
Mars Retrograde Motion in 1994/ Jan Mar Sept July 4
Saturn & Jupiter 4/ /2000 Saturn Jupiter Mars 11/ /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 First Quarter Last Quarter Not to Scale
Earth Deferent Epicycle
Earth Equant Center
Saturn Mars Jupiter Sun Mercury Venus Earth Ptolemaic System
Mars Jupiter Saturn Earth Venus Mercury Sun Solar System
Earth Mars Retrograde Motion
Venus Maximum Eastern Elongation 1 AU D Venus 46º
F1F1 F2F2 Semimajor Axis Center
T=0 d T=10 d T=0 d T=10 d Equal Areas in Equal Times
Jan 10 Jan 11 Jan 12 Jan 13 Jan 19 Jan 18 Jan 15 Jan 16
Io Europa Ganymede Callisto
Ptolemaic System Copernican System
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
Force = (apple’s mass) (acceleration due to gravity) Equal and Opposite Force from the Table Net Force is Zero, No Net Motion
M1M1 M2M2 d M1M1 M2M2 2d M1M1 M2M2 d/2
2M 1 M2M2 d M1M1 M2M2 d 2M 2 d
Parabola Hyperbola CircleEllipse Conic Section Curves
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
Wavelength ( ) Speed (c) Frequency (f) (# waves/second)
d=1 d=2 d=3 B=1 B=1/9 B=1/4
Doppler Effect in Sound High Pitch (short waves) Low Pitch (long waves)
T=0 s 0 popped 16 unpopped T=35 s 8 popped 8 unpopped Half-Life = 35 sec
Hot Gas Faster Average Speeds Cool Gas Slow Average Speeds
Spectrum Prism White Light Prisms disperse light into its component colors
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
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=
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
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
Spectrum of a Fluorescent Light Mercury
Collecting Area Lens Retina
Simple Refracting Telescope Objective Lens Secondary Lens (Eyepiece) Focus
Primary Mirror Prime Focus Secondary Mirror Cassegrain Focus
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
Seismic Station Lower Mantle Core Upper Mantle Crust Seismic Station Surface Waves P-waves S waves P & S waves Earthquake!
Near Side Far Side Two Faces of the Moon Maria Impact Basin Cratered Highlands
A12 A14 A15 A17 A11 A16 L24 L20 L16 Apollo and Luna Landing Sites
Mars Earth Venus Mercury Pluto Neptune Uranus Saturn Jupiter
Pluto Ecliptic
Molecular Hydrogen Metallic Hydrogen “Ice” Rock Jupiter Interior
Molecular Hydrogen Metallic Hydrogen “Ice” Rock Saturn Interior
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