Transcript Prof. Geoff Marcy Jupiter and Europa Saturn and Enceladus Textbook and Homework: The Cosmic Perspective Special Issue Bennett et al.

Prof. Geoff Marcy
Jupiter and Europa
Saturn and Enceladus
Textbook and Homework:
The Cosmic Perspective
Special Issue
Bennett et al. (2014)
1. Buy book at bookstore with its attached
“MasteringAstronomy kit”
2. Homework is online: MasteringAstronomy:
www.pearsonmastering.com
Register:
Course ID: marcy49057
Reading this week: Chapters 1 and 2
“Our place in the Universe “ & “Discovering the Sky”
Homework: Due every Friday at 6pm
This week: Chapter 1 and Chapter 2 Assignments
in MasteringAstronomy:
Due Friday, Sept 6 at 6pm.
-3% for each wrong try (but you can try again).
+2% for not using a hint.
Instructor: Professor Geoff Marcy
Office Hours: Wed 1pm & Fri 11am
Hearst Field Annex: Bldg B, Room 103
[email protected]
Five GSIs:
Sky Lovill – [email protected]
Beth McBride – [email protected]
Kyle Fricke – [email protected]
Bill Mitchell – [email protected]
Danny Goldstein – [email protected]
12 Discussion Sections 1 hr each (All start next week.)
Review, Clarification, Homework Help. Observing Projects
Discussion Sections
• 1 hour: All start this week.
• Review, Clarification, Homework Help.
• Go to any one:
101 Wed 9-10A,
102 Wed 1-2P,
103 Wed 2-3P,
104 Wed 3-4P,
105 Th 2-3P,
106 Tu 2-3P,
107 Th 11-12P,
108 Tu 11-12P,
109 Tu 12-1P,
110 Th 12-1P,
111 W 11-12P,
112 Wed 12-1P,
264 Evans Hall:Beth McBride
264 Evans Hall: Danny Goldstein
264 Evans Hall:Kyle Fricke
122 Barrows Hall:Bill Mitchell
264 Evans Hall: Beth McBride
264 Evans Hall: Beth McBride
264 Evans Hall:Bill Mitchell
264 Evans Hall:Bill Mitchell
264 Evans Hall: Sky Lovill
264 Evans Hall: Sky Lovill
264 Evans Hall: Kyle Fricke
264 Evans Hall: Danny Goldstein
Course material on bSpace: http://bspace.berkeley.edu
• Syllabus
• Lecture slides
• Assignments: reading, homework, observing projects
• Course information
Last Time ::
The Solar System
Inner Solar System
Outer Solar System
The Solar System:
Sun and 8 Planets
Moons, Rings, Asteroids, Comets, and Dust
Milky Way Galaxy
Photo taken from Earth
200 Billion Stars
You Are Here
Our Milky Way Galaxy
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”
of Galaxies
100,000 Light Years
The Galactic Neighborhood
The ``Local Group’’
of Galaxies
And
outward…
10 Million Light Years
The Universe:
All matter and energy
> 100 Billion Galaxies
B
Astronomical Numbers
Best to use Exponential Notation
103 = 1000
Thousand
106 = 1,000,000
Million
109 = 1,000,000,000
Billion
1012 = 1,000,000,000,000 Trillion
Also: 10–3 = 1/1000 = 0.001
Exponential notation is handy:
10N x 10M = 10(N+M)
Example:
103 x 106 = 109
thousand
million
billion
B
Interactive Quiz
How many stars in our
visible Universe?
A.
B.
C.
D.
1012 (1 million million)
1018 (1 billion billion)
1022
infinite
B
Interactive Quiz
How many stars in our
visible Universe?
A.
B.
C.
D.
1012 (1 million million)
1018 (1 billion billion)
1022
infinite
Number of Stars in a galaxy: ~100 billion = 1011
Number of galaxies in Universe: 100 billion = 1011
U.S. Debt vs. Time
There are 1011 stars in the galaxy. That
used to be a huge number. But it's only a
hundred billion. It's less than the
national debt. We used to call them
astronomical numbers. We should call
them economical numbers.
Richard Feynman
B
In 2013, the National Debt is
$17 Trillion
= $17 x 1012
U.S. Population
= 315 x 106 people
Your Personal Debt: $17 x 1012 / 3.15 x 108 = $5.4 x 104
= 17/3.15 x 1012-8
= $54,000 per person
Distance, time and number :
Scientific notation:
Radius of our Galaxy:
6,000,000,000,000,000,000 m =
Radius of a Hydrogen atom:
0.00000000005 m =
6 x 1018 m
0.5 x 10–10 m
Time for one vibration of an oxygen molecule, O2:
0.00000000000001 s =
1 x 10–14 s
Age of the Universe:
430,000,000,000,000,000 s = 4.3 x 1017 s = 13.6 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
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 = 103 m
kilo
g = 10-3 kg
kilo
ms = 10-3 s
milli
µs = 10-6 s
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
B
Speed of Light
and Light-travel time:
C = 3 x 108 m/sec
= 3 x 105 km/sec = 300,000 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 105 km
1 light ns = 30 cm ≈ 1 foot
How long does it take the sun’s light to reach the Earth?
Distance
d = 1 AU = 1.5x1011m
Speed of light c = 3x108 m/s
d 1.5 1011 m
3
t 

0.5
10
s  8 min
8
v 3 10 m /s
Time

B
Driving Curiosity Rover on Mars
• How long does it take
to communicate with
Curiosity ?
B
Interactive Quiz
How long does it take for radio
waves (light) to reach Mars?
A.
B.
C.
D.
Less than 1 second
1 minute
10 minutes
1 hour
Interactive Quiz
How long does it take for radio
waves (light) to reach Mars?
A.
B.
C.
D.
Less than 1 second
1 minute
10 minutes
1 hour
Earth-Mars distance: between 55 and 400 million km.
tmin = dmin/v = 5.5×107 km / (3×105 km/s ) =1.8×102s= 3 minutes
tmax = dmax/v = 4.0×108 km / (3×105 km/s ) =1.3×103s= 22 minutes
A Scaled Model of the Solar System
10 Billion x Smaller
Sun’s diameter: 14 x 1010 cm
Reduce by 1010:
1010
Scaled Down
“Sun”
14 cm
14cm
Earth diameter:
13000 km
Jupiter’s diameter: 150,000 km
0.13 cm
1.5 cm
Earth’s distance from Sun: 1 “Astronomical Unit” = 1 “AU”
1 AU
?? cm
= 1.5 x 108 km
A. 1.5 cm
B. 15 cm
Ans: 1500 cm = 15 meters
C. 150 cm
D. 1500 cm
G
How large is the Solar System?
• Let’s view it to scale
– Say the Sun is the size of a large grapefruit, 14 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
15 rows
Mars
1.5
22
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 105
Oakland
G
You Are Here:
Earth’s Orbit
Saturn
Uranus
o
.
Neptune
o
o
Jupiter
. o
G
How Far is the Nearest Star?
Alpha Centauri
d = 4 light years
= 4 x 1016 m
Scales to:
4 x 106 m
(~ 3000 mi)
Grapefruit-sized
Sun in Berkeley
Nearest Grapefruit:
In Washington D.C.
G
Powers of Ten
“Cosmic Voyage”
The Movie
G
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
G
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.
G
The Earth orbits around
the Sun once every year.
The Earth’s axis is tilted
by 23.5º
!
B
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 Origin of the Universe
(1) The two simplest atoms,
H and He, were created
during the Big Bang.
(2) More complex atoms
were created in stars.
(3) 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.
B
•
•
•
Galaxies appear to be moving away from us.
The farther away they are, the faster they are moving.
Space itself is expanding
pace itself expands.
B
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
B
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.
Our Galaxy forms at 4am. Generations of stars are
born and die.
B
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…
What is the Earth’s velocity about the Sun?
Radius of Orbit (1 AU): 150 x 106 km
Circumference: 2 π x radius
Distance around the Sun that the Earth travels:
2 π x (1.5 x 108 km) = 9 x 1011 m
Earth orbits the Sun once a year:
1 yr = 3 x 107 s
Velocity = Distance/Time = 9 x 1011 m / 3 x 107 s
= 3 x 104 m/s = 30 km/s
110,000 km/hr or 75,000 miles/hr!
B