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Slide1
General Astronomy
IntroductionSlide2
Introduction
Administrative Matters
Syllabus
Best guess at this time
NOT cast in granite
General Information
Text
Exams and Quizzes
Labs
Observatory
Class Evaluation
Web Access
http://www.stockton.edu/~sowersj/gnm2225
Syllabus
General Information
Lectures (Downloadable)Slide3
The most incomprehensible thing about the world is that it is at all comprehensible.
Albert Einstein
This course has a huge amount of material to cover (the entire UNIVERSE) so it is
a mistake to
wait and cram before an exam. Assimilate the material on a daily (OK … a weekly) basis and you will have time to absorb it all. It is not easy, but it is
comprehensible
. Be warned, it is “drinking from a firehose!”Slide4
Astronomy as a Physical Science
Astronomy is an
observational
science.
It is difficult to experiment with the Universe
It is the 'Mother of Physics'
Astronomy's knowledge base has been accumulating since the first cave person noticed the lights in the night sky. Most of our knowledge is recent however – within the last 100 years.Slide5
Astronomical Jargon
186000 mi/sec X number of seconds per year
= 186000 mi/sec x 60 sec/min x 60 min/
hr
x 24
hr/day x 365.25 day/yrOr about,
1 Ly = 6,000,000,000,000 miles
The speed of light, c, is 186,000 miles/second.
A Lightyear (LY) is the
DISTANCE
traveled by light in 1 year.
So, how many miles is that? Let's find out…
Hint – This WILL be on your exam(s)Slide6
The Time Machine
Light takes, for example, 8.5 minutes to travel the distance from the Sun to the Earth. Another way to state the distance between Earth and Sun is, therefore, to say it is 8.5 lightminutes.
Note the 'time machine' effect. We don't see the Sun as it is "now". We see it as it was 8.5 minutes ago.Slide7
Distances
So here are some distances to try to make this more clear.
Earth to Sun
93 million miles
8.5 lightminutes
Earth to Moon
238,857 miles
1.25 lightseconds
Atlantic
City to Los Angeles
2,443 miles
0.013 lightseconds
Earth to Pluto2.7 billion miles6.69 lighthours
Earth to nearest Star4 lightyearsEarth to nearest large galaxy2 million lightyears
Earth to end of observable Universe13.2 billion lightyearsSlide8
Astronomical Jargon
A lightyear is too big a measurement to use within our Solar System. A better 'ruler' for these small distances is the
Astronomical Unit,
or AU
An AU is the average distance from the Earth to the Sun.
1 AU = 93,000,000 Miles
= 8.5 Lightminutes
= 150 Million Kilometers
= 0.0000162 LightyearsSlide9
Observations
What can we actually see when we look at the stars?
Position (relative to other stars)
Brightness (relative to other stars)
Color
There is no other information directly available
!Slide10
Position
Note the relative positions in the
asterism
shown
This is a small portion of the
constellation
Ursa MajorSlide11
Observation: Position
It's difficult to get an absolute position – after all where should we measure from? The best bet is to get a relative position. That is measure the position of stars relative to each other. The best way to do this is to measure their angular separations.Slide12
Angular Measurement
Very often what we measure is the angle between two objects
Angular difference
The angle is measured in either seconds of arc, or in radians (Planets, etc, may need bigger measurements)
For example, the angular diameter of the Sun is about 30.5' or 30' 30"Slide13
Angular MeasurementsSlide14
Distance
One parameter, not on our list of directly observable items, is distance. This is very important, but it's hard to measure. After all, sending someone out with a measuring tape is not a really good way of handling the problem.Slide15
A quick experiment
Hold your arm out full length, close one eye and position your thumb on a figure on the blackboard.
Quickly switch your eyes, closing one an opening the other. Did your thumb appear to "move?"
This phenomenon is called
parallax Slide16
*
*
*
*
*
Observation: Distance
An important distance measurement is parallax.
We can
infer
distance from parallax using the slight apparent shifts in relative position
*
*
*
*
*
*
*
*
*
*Slide17
Parallax
*
1AU
1"
D
D has a value of 1
parallax-second
when the angle is seen to shift by
1 second of arc.
D would be 1
parsec.
The angle is so small that there is really no measureable difference between D and that between the star and earth
One parsec is about 3.26 lightyearsSlide18
Observation: Brightness
Are the stars as bright as they appear in a dark night sky?
Of course not. They are much, much brighter, but they are very far away.
Brightness varies inversely with the square of the distance. That means a 100 watt light bulb will look ¼ as bright if it's distance is doubled.
Since we don't always know how far away a star is, measuring the apparant brightness (just what we see) is an important first step.Slide19
Relative Brightness
Clearly, this star is much brighter than the others
But, is it brighter:
Because it is closer to us?
Because there is dust and gas in between us and it which is dimming the light?
Because it is simply a brighter star?Slide20
Apparent Magnitude
Brightness as estimated by the 'eye'
The scale is ordinal, that is, we assign a number from 1 to 6
At least originally, now we use decimal numbers (including negatives; the Sun's apparent magnitude is –26.5)
1 is bright; 6 is dim (the dimmest that the human eye can make out on a very dark, clear night).
The scale is not linear, in fact each magnitude change is 2 ½ times dimmer than the one before. A 2nd
magnitude star is 2 ½ times dimmer than a 1
st
magnitude star; a 3
rd
is 2 ½ times dimmer than a 2
ndA 6th magnitude star is therefore 100 times dimmer than a 1st magnitude star."Yes, Virginia. There is a Santa Claus logarithmic scale."Slide21
Apparent Magnitude
The night sky as seen from Stockton CollegeSlide22
Apparent Magnitude
The night sky showing stars to 6
th
magnitudeSlide23
Apparent Magnitude
The night sky showing stars to 5
th
magnitudeSlide24
Apparent Magnitude
The night sky showing stars to 4
th
magnitudeSlide25
Apparent Magnitude
The night sky showing stars to 3rd magnitudeSlide26
Apparent Magnitude
The night sky showing stars to 2nd magnitudeSlide27
Apparent Magnitude
The night sky showing stars to 1st magnitudeSlide28
Apparent Magnitude
The night sky showing stars to 15
th
magnitudeSlide29
S
Apparent Magnitude
Vega 0.03
Sulifat 3.35
Sheliak 3.5
d
Lyrae 4.22
z
Lyrae 4.34Slide30
Absolute Magnitude
Suppose we want to compare star's actual brightness. To do this, we have to know how far away they are.
Suppose all the stars were at the same distance – then their magnitudes would give us this information.
Assuming we know the distances to the stars, we can calculate just how bright they would be at any distance. For comparison purposes, we decide to use a fixed distance of 10 parsecs.
The magnitude measured at a distance of 10pc is known as the
absolute magnitude.
For example, the Sun from that distance is a 5
th
magnitude star – just barely visible on a dark, clear night.Slide31
Absolute Magnitude
m
Ly
pc
M
Notice that Vega was very bright because it is close.
The much dimmer Sheliak is 35 times farther away and intrinsically a much, much brighter star
How much brighter? By nearly 50 timesSlide32
Color
This one has a red tint
This is whiteSlide33
Cosmic Overview
Astronomy uses a wide range of numbers to describe its observations
From the radius of a 'classical' electron which is about 3x10
-18
kilometers
To an AU = 9.3x107 milesA Lightyear = 6x10
12
miles
To the farthest known object 3x10
24
miles
As you can see, scientific notation is a must – there are just too many zeros, both before and after the decimal point without it.Slide34
Cosmic Overview
We will work our way outwards…
From the Solar System
To the Milkyway galaxy
To other galaxies
To stranger objects in the cosmosTo the Universe Slide35
An Observational Science
As noted before Astronomy is an observational science
Most "hard" sciences (Chemistry, biology, geology, physics) are
experimental
sciences
Each has a strong theoretical component, but their final 'proof' is in the experimentWe cannot experiment in AstronomyWhile some professor's egos make them think they can collide galaxies together, turn the stars off and on, and create Universes – they really can't (Though it is wise for the undergraduate not to explain this to these individuals)
We do have a rich observational sample howeverSlide36
An Observational Science
Keep in mind that in addition to many, varied objects to observe, the Astronomical 'Time Machine' is also operational
Due to the finite speed of light, the farther away an object is, the farther back in time we are viewing it
Much of the modern ideas in astronomy have been developed during the 20
th
centuryBetter equipment
Ideas from other disciplines (math, chem, physics)Slide37
Astronomy and Humans
Humans tend to regard as
typical
those things they perceive through everyday experience and cultural knowledge. For example, our current culture – in general – regards the Earth as round and moving about the Sun.
This would not have been easily accepted by an individual living before 1543 AD.
Let’s look at some factors which will bias our view of the Universe:
This portion of the lecture was adapted from notes written by Dr. Michael Skrutskie of the University of Virginia
Slide38
Astronomy and Humans
Conditions on Earth are not typical of the rest of the Universe
Earth is a place where matter is relatively dense
A cubic centimeter of air contains about 10
19
atomsIn intergalactic space, a volume of space about the size of a football stadium contains a single atom.
Earth is about 300 degrees above absolute zero; the Universe is largely about 3 degrees above absolute zero.
Earth orbits a single star – most star systems are multiple systems.Slide39
Human senses – vision in particular – provide an extremely limited perspectiveThe ‘light’ we can see is a tiny fraction of the entire electromagnetic spectrum
Radio, Infrared, Ultraviolet, X-ray and Gamma ray light fill the Universe, but cannot be seen directly by the human eye.
Astronomy and HumansSlide40
Astronomy and Humans
The human perception of Time is also very limited
The brief span of a human lifetime provides only a ‘snapshot’ of the Universe.
Most cosmic phenomenon do not change appreciably over a lifetime
Even a long lifetime of 100 years is insignificant compared to the lifetime of the Sun (about 10 billion years)
Astronomers must reconstruct the workings and evolution of the Universe from this short snapshot.
This is similar to reconstructing the politics of the Earth from a one-second glimpse of events.
Fortunately the ‘astronomical time machine’ allows us to look back and see varying stages of evolution.Slide41
Limited Comprehension of Large Numbers
We can visualize quantities of a dozen or even a few hundred, but what is the difference between a billion and a trillion?
Scientific Notation makes this manageable, but it still doesn’t give it
meaning
Astronomy and HumansSlide42
Comprehending a Billion
A billion seconds ago it was 1986.
A billion minutes ago Rome ruled the known world.
A billion hours ago our ancestors were living in the Stone Age.
A billion days ago 'Lucy' was living in Africa
A billion dollars ago was only 2 hours and 10 minutes, at the rate our government is spending it.
If you spent $10,000 per day it would take almost 274 years to spend 1 billion dollarsSlide43
The 'Game' of Science
How do we go about playing the great 'game' of science?
There are several 'rules' or methods. The one that you know (since about 4
th
grade) is the
Scientific Method
If you recall it went something like:
Theorize Hypothesis
Experiment
Verify Law
We've got to be a bit more precise (especially since we cannot experiment).
Observe
ReasonExperiment
TheorizePredictSlide44
The 'Game' of Science
The following example is from Richard Feynman,
"What do we mean when we claim to 'understand' the Universe? We may imagine the enormously complicated situation of changing things we call the physical universe is a chess game played by the gods; we are not permitted to play, but we can watch. Our problem is that we are left to puzzle out the rules of the game for ourselves as best we can by watching the play. We have to limit ourselves to trying to find out the rules – using them to play is beyond our capability (We may not be able to predict the next move even if we know all the rules – our minds are far too limited). So we say if we know the rules, we understand."Slide45
How can we tell which rules are right?
There are three basic ways:
Simplify
Nature has arranged (or we set up an experiment) where the situation is so simple with so few parts, we can predict the outcome if the rule is correct.
Check rules in terms of less specific ones
For example, we hypothesize that a bishop must move on a diagonal. We can check our idea by observing that a given bishop is always on a red square even if we cannot see it move. (Occasionally Nature permits pawn promotion to a bishop)
Approximation
We can't always tell why a particular piece moves, but perhaps we can generalize to the approximation that protecting the king is a guiding principle.Slide46
Reasoning Paradigms
Deductive Reasoning
Hypothesis
Observation Hypothesis …
Inductive Reasoning
Observation ModelsSlide47
Example
†
: Searching for a rule
Let's assume a mother has a young 'Dennis the Menace' type son.
He has a set of indestructible blocks – they cannot be destroyed or broken.
Every day she places him in his playroom with the blocks. She has observed that there are always 28 blocks. One day, however…
27
†
Again due to Richard Feynman:Slide48
Example
†
: Searching for a rule
Let's assume a mother has a young 'Dennis the Menace' type son.
He has a set of indestructible blocks – they cannot be destroyed or broken.
Every day she places him in his playroom with the blocks. She has observed that there are always 28 blocks. One day, however…
27
Under the rug
†
Again due to Richard Feynman:Slide49
Example†: Searching for a rule
Let's assume a mother has a young 'Dennis the Menace' type son.
He has a set of indestructible blocks – they cannot be destroyed or broken.
Every day she places him in his playroom with the blocks. She has observed that there are always 28 blocks. One day, however…
27
Under the rug
26
†
Again due to Richard Feynman:Slide50
Example
†
: Searching for a rule
Let's assume a mother has a young 'Dennis the Menace' type son.
He has a set of indestructible blocks – they cannot be destroyed or broken.
Every day she places him in his playroom with the blocks. She has observed that there are always 28 blocks. One day, however…
26
27
Under the rug
2 out the window
†
Again due to Richard Feynman:Slide51
Example†: Searching for a rule
Let's assume a mother has a young 'Dennis the Menace' type son.
He has a set of indestructible blocks – they cannot be destroyed or broken.
Every day she places him in his playroom with the blocks. She has observed that there are always 28 blocks. One day, however…
26
27
Under the rug
2 out the window
†
Again due to Richard Feynman:
30Slide52
Example
†
: Searching for a rule
Let's assume a mother has a young 'Dennis the Menace' type son.
He has a set of indestructible blocks – they cannot be destroyed or broken.
Every day she places him in his playroom with the blocks. She has observed that there are always 28 blocks. One day, however…
27
26
Under the rug
2 out the window
30
Visiting playmate had some blocks
25
†
Again due to Richard Feynman:Slide53
Example
†
: Searching for a rule
Let's assume a mother has a young 'Dennis the Menace' type son.
He has a set of indestructible blocks – they cannot be destroyed or broken.
Every day she places him in his playroom with the blocks. She has observed that there are always 28 blocks. One day, however…
27
26
Under the rug
2 out the window
30
Visiting playmate had some blocks
25
He won't let her open the toy box.
Mom waits until all the blocks are visible, then weighs
The toybox. Then, the next time:
Number Blocks = Number Seen + (Weight of Box – Weight of Empty Box)/Weight of a block
You've just introduced
mathematics
into science
Toy Box ???
†
Again due to Richard Feynman:Slide54
Example†: Searching for a rule
Let's assume a mother has a young 'Dennis the Menace' type son.
He has a set of indestructible blocks – they cannot be destroyed or broken.
Every day she places him in his playroom with the blocks. She has observed that there are always 28 blocks. One day, however…
27
26
Under the rug
2 out the window
30
Visiting playmate had some blocks
25
Toy Box
23
†
Again due to Richard Feynman:Slide55
Example
†
: Searching for a rule
Let's assume a mother has a young 'Dennis the Menace' type son.
He has a set of indestructible blocks – they cannot be destroyed or broken.
Every day she places him in his playroom with the blocks. She has observed that there are always 28 blocks. One day, however…
27
26
Under the rug
2 out the window
30
Visiting playmate had some blocks
25
Toy Box
23
Dirty Aquarium???
†
Again due to Richard Feynman:Slide56
Example
†
: Searching for a rule
Let's assume a mother has a young 'Dennis the Menace' type son.
He has a set of indestructible blocks – they cannot be destroyed or broken.
Every day she places him in his playroom with the blocks. She has observed that there are always 28 blocks. One day, however…
27
26
Under the rug
2 out the window
30
Visiting playmate had some blocks
25
Toy Box
23
Dirty Aquarium???
†
Again due to Richard Feynman:
With piranha!Slide57
Let's assume a mother has a young 'Dennis the Menace' type son.
He has a set of indestructible blocks – they cannot be destroyed or broken.
Every day she places him in his playroom with the blocks. She has observed that there are always 28 blocks. One day, however…
Example
†
: Searching for a rule
27
26
Under the rug
2 out the window
30
Visiting playmate had some blocks
25
Toy Box
23
Dirty Aquarium
Measure the height of the water when all blocks are visible. Measure the height when only one block is missing. (Or compute the volume of a block). Then you can add the following to your "block equation"
Blocks under water = (Height of water – Standard Height)/Height caused by 1 block
†
Again due to Richard Feynman:Slide58
So what's the rule?
How about…
There are always the same number of blocks
We've just developed a
Conservation Law
As Dennis gets more ingenious, Mom must come up with equally clever additions to her 'equation'