Transcript The Universe in a Day - UC Berkeley Astronomy Department
Astronomy C12, Earth & Planetary Science C12, Letters & Science C70
The Planets
Prof. Michael Manga Prof. Geoff Marcy QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture.
Dione in front of Saturn and its Ring
Tu, Th 11-12:30 am 100 Lewis
Professors
Geoff Marcy 417 Campbell Hall
Michael Manga 173 McCone Hall [email protected]
Departments of Astronomy, Earth & Planetary Science
GSIs:
Linda Strubbe Nicholas McConnell Arianna Gleason Karrie Weaver linda@astron nmcc@astro [email protected]
karrie@eps
8 Discussion Sections
1 hr each (Start
Next
Review, Clarification, Homework Help Sign up for Section on Telebears Week)
Text:
The Solar System: The Cosmic Perspective
Bennett et al. (2006) 4th Edition (not 3rd)
Web Site on bspace: http://bspace.berkeley.edu
• Syllabus, Schedule & Lecture Figures (no animation) • Assignments: Reading,
Homework
, Observing Project • Class Information
Homework: 50% of your grade
• • • 12 assignments during semester Most questions from your text The Astronomy Learning Center (TALC): • 264 Evans Time: TBA • • • First homework set available Friday Due by Friday Feb 2 Turn in HW by Friday at noon: • Box labeled Astro/EPS 12 in the basement of Campbell Hall.
Homework:
• You are encouraged to work together, but MUST turn in your own work, in your own words • The graders can recognize copying, and answers found with Google • Refer to the Berkeley Code of Student conduct if you are unclear about what constitutes cheating or plagiarism
Announcements
• No discussion sections this week • Read Ch 1 of the text this week; Ch 2 by next • First Homework Assignment: posted Friday.
•No Clickers
Last Time : : QuickTime™ and a TIFF (Unc ompressed) decompres sor are needed to see this picture.
The Solar System
Inner Solar System Outer Solar System
Overview
Our place in the Universe
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T IF are F (U n ee nc de om d t Qu Quic kTime™ and a TIFF (Unc ompres sed) dec ompres sor are needed to see t his pic ture.
pi ctu m re .
d a pre ss or 13 billion Light Years
The Solar System:
Sun and 8 Planets Moons, Asteroids, Comets, and Dust QuickTime™ and a YUV420 codec decompressor are needed to see this picture.
Milky Way Galaxy
Photo taken from Earth 200 Billion Stars You Are Here QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture.
Our Sun and the stars orbit around the center of the Milky Way Galaxy every 230 million years.
Our Sun moves relative to the other stars in the local Solar neighborhood.
Spiral Galaxies
Elliptical Galaxies
Irregular Galaxies
The ``Local Group”
100,000 Light Years
of Galaxies
The Galactic Neighborhood
The ``Local Group’’ of Galaxies
And outward…
10 Million Light Years
The Universe:
All matter and energy > 100 Billion Galaxies
Astronomical Numbers
Best to use Exponential Notation 10 3 10 6 10 9 = 1000 Thousand = 1,000,000 Million = 1,000,000,000 Billion Also: 10 –3 = 1/1000 = 0.001
Exponential notation is handy: 10 N x 10 M = 10 (N+M) Example:
10 3
thousand
x 10 6
million
= 10 9
billion
How many stars in our visible Universe?
a) 10 6 (1 million) b) 10 12 (1 million million c) 10 18 (1 billion billion) d) 10 22 e) infinite
Federal Debt QuickTime™ and a TIFF (LZW) decompressor are needed to see this picture.
02 03 04 05 Debt Total The National Debt is
$7.6 Trillion = $7.6 x 10 12
U.S. Population = 300 x 10 6 Calculate Your Debt:
$7.6 x 10 12 / 3 x 10 8 $2.5 x 10 4 = $25,000 per person
Distance
,
time
and
number
: Scientific notation: Radius of our Galaxy: 6,000,000,000,000,000,000 m = 6 x 10 18 m Radius of a Hydrogen atom: 0.00000000005 m = 0.5 x 10 –10 m Time for one vibration of an oxygen molecule, O 2 : 0.00000000000001
s = 1 x 10 –14 s Age of the Universe: 470,000,000,000,000,000 s = 4.7 x 10 17 s = 14 billion years
SI (Systeme International) Units
Base units: 1 meter ( m ) length~ 3.3 ft 1 kilogram ( kg ) mass ~ 2.2 lb 1 second ( s ) time
MKS System of units and measure
SI (Systeme International) Units Base units: 1 meter ( m ) length 1 kilogram ( kg ) mass 1 second ( s ) time
MKS System of units and measure Sometimes easier to derive other units from these: km, g, ms, µs, … km = 10 3 m
kilo
g = 10 -3 kg
kilo
ms = 10 -3 s µs = 10 -6 s
milli micro
UNITS ARE IMPORTANT!!!
Mars Climate Orbiter: Launch: 11 Dec. 1998 Orbit insertion: 23 Sep. 1999 Followed by: Loss of Communication WHY?
Failed to convert from English units (inches, feet, pounds) to Metric units (MKS)
$Billion error
Light takes time to travel: 3 x 10 8 m/sec = 3 x 10 5 km/sec = 0.3 m/ns
(1 ns = 10 -9 s) Light Year = 9 trillion km = 6 trillion miles Light Hour Light Minutes are unit of Distance: How far Light Travels in that interval of time 1 light second = 3 x 10 5 km 1 light ns = 30 cm ≈ 1 foot
Driving the Mars Exploration Rovers (MER)
• How long does it take to communicate with the rovers?
NASA/JPL/Cornell
How long does it take for radio waves (light) to reach Mars?
a) Less than 1 second b) 10 seconds c) 5 minutes d) 1 day e) 1 year
How to deal with very large & small numbers
•Develop a useful arithmetic Exponential notation; convert between units •Visualize using a sequence of images (movie) Use different sequences •Visualize by way of a scale model Try different models
A Scaled Model of the Solar System 10 Billion x Smaller Sun’s diameter: 14 x 10 10 cm (~ 10 6 miles) Scale 10 10 : 14 cm
10 10 Scaled Down “Sun” QuickTime™ and a TIF F ( Uncompressed) decompressor are needed to see this picture.
14cm
Earth diameter: 1.3 x 10 4 km 0.13 cm Jupiter’s diameter: 150,000 km 1.5 cm Earth’s distance from Sun: 1 “Astronomical Unit” = 1 “AU”
1 AU ?? cm
= 1.5 x 10 8 km
a) 0.15 cm b) c) 1.5 cm 15 cm d) 150 cm e) 1500 cm Ans:
1500 cm = 15 meters
How large is the Solar System?
• Let’s view it
to scale
– say the Sun is the size of a large grapefruit, 15 cm (6 inches) - then:
Planet dist (AU) Scaled dist (m) Where?
Mercury 0.4 6 6 rows back Venus 0.7 10 10 rows Earth 1.0 15 Mars 1.5 22 15 rows 22 rows Jupiter 5 75 3/4 football field away Saturn 10 150 1.5 football field away Uranus 20 300 Sproul Plaza Neptune 30 450 Bancroft Ave Pluto 50 750 Durant Ave Oort Cloud 50,000 5 x 10 5 Oakland
Neptune o You Are Here: Earth’s Orbit .
Uranus o Saturn o Jupiter o
How Far is the Nearest Star?
Alpha Centauri
d = 4 light years = 4 x 10 16 m Scales to: 4 x 10 6 m (~ 3000 mi) Grapefruit-sized Sun in Berkeley Nearest Grapefruit: In Washington D.C.
Powers of Ten “Cosmic Voyage”
The Movie
How old is the Universe?
• The Cosmic Calendar – if the entire age of the Universe were one calendar year – one month would be approximately 1 billion real years
Key Issues So Far:
• What does our solar system look like when viewed to scale?
• How far away are the stars?
• How do human time scales compare to the age of the Universe?
TODAY’S LECTURE
•
Solar System Resides within our Milky Way Galaxy
•
Ranges of distances and time are huge.
•
Exponential notation and models are a real Help!
•
Distance Units: 1 Astronomical Unit (AU) = Earth - Sun Distance = 93 million miles = 150 million km
What is the origin of the Universe?
• The two simplest atoms (H and He) were created during the
Big Bang
.
• More complex atoms were created in stars.
• When the star dies, chemical elements are expelled into space…. to form new stars and planets!
Most of the atoms in our bodies were created in the core of a star!
The Universe in a Day
Look at the entire history of the Universe as though it took place in a single day. The present is at the stroke of midnight at the end of that day. Since it is about 13.5 billion years old, each hour will be ~0.5 billion years. A million years takes only a little over 7 seconds.
The Big Bang (a dense, hot explosion) and the formation of H and He all take place in the first nanosecond. The Universe becomes transparent in about 2 seconds. The first stars and galaxies appear after about 2am.
O ur Galaxy forms at 4am. Generations of stars are born and die.
The Universe in a Day
The Solar System does not form until 3pm. The first life (bacterial) appears on the Earth by 4pm. Our atmosphere begins to have free oxygen at 7 or 8 pm, and this promotes the development of creatures which can move more aggressively and eat each other. Life does not begin to take on complex forms (multicellular) until 10:45pm. It moves onto land at 11:10. The dinosaurs appear at about 11:40, and become extinct at 11:52. Pre-human primates appear at around 14 seconds before midnight, and all of recorded history occurs in the last 70 milliseconds.
Looking to the future, we can expect the Universe of stars to go on for at least another millennium (using the same time compression factor). After that, there are other ages of the Universe (not dominated by stars), which grow colder and more bizarre, and take place on astronomical timescales…
The Earth orbits around the Sun once every year! The Earth’s axis is tilted by 23.5
º!
What is the Earth’s velocity about the Sun?
Radius of Orbit
( 1 AU )
: 150 x 10 6 km Circumference: 2 π x radius Distance around the Sun that the Earth travels: 2 π x (1.5 x 10 8 km) = 9 x 10 11 m Earth orbits the Sun once a year: 1 yr = 3 x 10 7 s Velocity = Distance/Time = 9 x 10 11 m / 3 x 10 7 s = 3 x 10 4 m/s = 30 km/s 110,000 km/hr or 75,000 miles/hr!
A Universe in motion
• Contrary to our perception, we are not “sitting still.” • We are moving with the Earth.
– and not just in one direction The Earth rotates around it’s axis once every day!
Looking back in time
• Light, although fast, travels at a finite speed.
• It takes: – 8 minutes to reach us from the Sun – 8 years to reach us from Sirius (8 light-years away) – 1,500 years to reach us from the Orion Nebula • The farther out we look into the Universe, the farther back in time we see!
The Milky Way moves with the expansion of the Universe!
• Mostly all galaxies appear to be moving away from us.
• The farther away they are, the faster they are moving.
– Just like raisins in a raisin cake; they all move apart from each other as the dough (space itself) expands.