What is Alpha Centauri
-Our nearest Neighbors
a triple star system
Measuring distances to neighbors
-We use parallax
-Nearest neighbors are a handful of lightyears away
Size of proxima centauri-
The closest star to the Earth is Proxima Centauri, 4.24 light years away
Making sense of distance-
If the sun were the size of a golf ball, in Snoqualmi,e alpha centauri would be a pea iAnchoragege Alaska
How long would the voyage take
-Even the fastest spacecraft would take a millennium to reach Alpha Centauri
- space is very empty, stars are very far apart
-As of now, it is closer to 165-155 AU away
-Proxima is 252,964 AU away
Itt would take 74,000 years to reach Proxima Centauri
The nearest stars
-The only stars in the centauri system are within 5 light years
-Centaury A and B form a binary star system
-Proxima Centauri orbits around them
Which stars make up the solar neighborhood
-The solar neighborhood is the collection of stars within 15 light years of the sun
-only about 4 stars per 1000 cubic meters
-Most main sequence stars are faint, cold red dwarfs
Stars like the sun are relatively rare
This means we must search outside our planetary systems to find stuff
-The Milky Way is the diffuse band of light across the sky
-The center and gas in the plane of the galaxy
- The galactic bulge is a roughly spherical population
-Most bulge stars are older than those near the sun
-10 gyr old almost as old as the universe
-Nearly 200 billion stars in the Milky Way most of them are M-type bulge
Measurement Tools of the Astronomer
Test Review
3
rd Law: P^2 = d^3
2
nd Law & 1st Law Inverse Square Law:
Light diminishes with
distance from source
Parallax view: the variation in angle that occurs
when viewing a nearby object from different
places.
• Importance of parallax: Danish astronomer
Tycho Brahe reasoned that the distance of
the object may be determined by measuring
the amount of parallax. A smaller parallax
angle meant the object was further away.
The apparent
change in the
location of an
object due to the
difference in
location of the
observer is called
parallax.
Their views
differ because
of a change in
position
relative to the
mountain
Because the parallax of the “star” was too small to
measure, Tycho knew that it had to be among the other
stars, thus disproving the ancient belief that the “heavens”
were fixed and unchangeable.
Brightness to Distance
❖ If you know the apparent brightness, you
know its luminosity (total energy output per
second)
❖ b = L /(4d
2
)
❖ Comparing to the Sun, can determine
distance to star
• Parallax is denoted by ‘p’.
• Distance (d) is measured in parsec.
• d = 1 parsec = the distance at which a star has a
parallax (p) of 1 arc second.
1 parsec = 3.26 light years.
Also d = 1/p
Closest star, Proxima centauri, p = 0.772 arc
seconds. Hence distance ‘d’ in parsec is
d = 1/p = 1/0.772 = 1.3 parsec = 4.2 light years
• Limitations on stellar parallax method
• 1. p = 0.01 arc seconds from Earth. So max.
distance = 100 parsecs
• 2. Hipparcos, p = 0.001 arc seconds. So max.
distance = 1000 parsecs.
• Other distance methods.
Limitation to using parallax
• Eventually, the parallax shift will no longer
be measurable.
• This is because the distance is too great for
the effect to be observed.
Electromagnetic Radiation
● There are only two long range forces
– Electromagnetism
– Gravity
● This is how we must observe the distant Universe
● Only now beginning to be able to observe
gravitational waves
● Most of our observations come from
electromagnetic radiation.
What Generates Electromagnetic Waves?
● Thermal radiation: Hot things glow.
● Heat causes atoms to rattle about in an object
● Atoms contain charged particles (electrons, protons)
● Accelerating charged particles emit electromagnetic
radiation.
Electromagnetic Radiation
● Electromagnetic radiation
from a source is in the form
of waves
● Both Electric and Magnetic
components
● Wave travels at speed of
light
Waves
Speed
wavelength
frequency
Electromagnetic Waves
● (speed) = (wavelength) x (frequency)
– But speed is fixed (all EM waves travel
at the speed of light)
– So given frequency, you can know the
wavelength and vice ver
● Higher frequency – more energy
● Higher amplitude – more energy
● But EM waves come in bundles (`photons')
with fixed amplitude
Electromagnetic Waves
● Light is one facet of the entire electromagnetic spectrum
● Our eyes have dedicated cells which are sensitive to
electromagnetic radiation in this range
● Eyes most sensitive to yellow light – this is where the sun
emits the peak amount of energy
Electromagnetic Waves
TV Antenna
VHF: ~200 MHz; wavelength~60”
UHF: ~575 MHz; wavelength~20”
15”
CB Radio Antenna
~27 MHz; wavelength~ 36 ft
~9'
Satellite TV dish
~12 GHz; wavelength ~9”
~4.5”
Inverse Square Law
● Electromagnetic (and most other
kinds) of radiation obey the Inverse-
Square Law
● Intensity of radiation (brightness)
falls off with the square of the
distance
– Doubling the distance to
something makes it appear
four times as dim (1⁄4 as bright)
– Tripling the distance makes it
appear nine times as dim (1/9
as bright)
– etc.
Kepler’s Breakthrough
• Kepler used Brahe’s data to develop three
laws that could be used to describe
planetary motion.
• All of the laws are based upon an
understanding of the ellipse.
After Tycho Brahe’s death,
Johannes Kepler (pictured here
with Tycho in the background)
used Tycho’s observations to
deduce the three laws of
planetary motion.
Planetary Motion and Orbits
• Kepler's first law states that
planets follow elliptical orbits,
with the Sun at one focus of
the ellipse. The figure below
illustrates Kepler's first law as
well as how an ellipse is
drawn.
• Newton was able to show
mathematically that, because
the force of gravity decreases
with the inverse square of the
distance, or 1/r
2
, closed orbits
must have the form of
ellipses or circles.
2014 Pearson Education, Inc.
The amount of elongation in a planet’s orbit is defined as its
orbital eccentricity. An orbital eccentricity of 0 is a perfect
circle while an eccentricity close to 1.0 is nearly a straight line.
In an elliptical orbit, the distance from a planet to the Sun
varies. The point in a planet’s orbit closest to the Sun is
called perihelion, and the point farthest from the Sun is
called aphelion.
Planetary Motion and Orbits
• Kepler's second law
relates speed and
distance. It states
that as a planet
moves in its orbit, it
sweeps out an
equal amount of
area in an equal
amount of time.
This is shown in the
figure below.
2014 Pearson Education, Inc.
KEPLER’S THREE LAWS OF PLANETARY MOTION
LAW #1. The orbit of a planet around the Sun is an ellipse with the
Sun at one focus.
Planetary Motion and Orbits
• Kepler's second law follows from the fact that
the force of gravity on a planet pulls directly
toward the Sun and, as a result, exerts zero
torque about the Sun.
• Since no torque acts on a planet, angular
momentum must be conserved.
• Newton was able to show that conservation of
angular momentum is equivalent to Kepler's
equal-area law.
2014 Pearson Education, Inc.
KEPLER’S THREE LAWS OF PLANETARY MOTION
LAW #2: A line joining the planet and the Sun sweeps out equal
areas in equal intervals of time.
Planet moves faster
in its orbit when
closer to the Sun.
Planet moves slower in
its orbit when farther
away from the Sun.
Planetary Motion and Orbits
• Kepler's third law relates the distance of a planet
from the Sun cubed and its orbital period
squared are proportional to one another, the
time it takes for the planet to complete one orbit.
• Simplified equation p^2 = d^3 – period squared
= distance from orbiting object cubed
2014 Pearson Education, Inc.
KEPLER’S THREE LAWS OF PLANETARY MOTION
LAW #3: The square of a planet’s sidereal period around the Sun is
directly proportional to the cube of its semi-major axis.
This law relates the amount of time for the planet to complete one orbit
around the Sun to the planet’s average distance from the Sun.
If we measure the orbital periods (P) in years and distances (a) in
astronomical units, then the law mathematically can be written as P2 = a3
.
Our Solar Neighborhood
❖ Our closest star other than the Sun – Proxima Centauri in the
Alpha Centauri triple-star complex – approximately l.y.
❖ Barnard’s Star next closest star farther out of the Centauri complex
Keplers first law tells us what?
Keplers second law tells us what about planetary orbit?
What does parsec tell you about a star?
What is an AU?
Which types of light have more energy than visual light?
Electromagnetic radiation includes visible light as well as other types of radiation like radio waves, microwaves, and X-rays
All electromagnetic radiation travels at the speed of light (about 3 x 10^8 m/s) in vacuum, regardless of its frequency
The energy of electromagnetic radiation is directly proportional to its frequency - higher frequency means higher energy
Different parts of the electromagnetic spectrum have different uses and effects, from radio communications to medical imaging to heating food
Compare the parallax angles - the star with the larger parallax angle is closer to Earth
Step by step explainer
Parallax angle is the apparent change in position of a star when viewed from different points in Earth's orbit
The larger the parallax angle, the closer the star is to Earth
Star B has a parallax angle of 0.0037 arcseconds, which is larger than Star A's 0.0025 arcseconds
Therefore, Star B must be closer to Earth
Radio- Really
Microwave- Mad
Infrared- Insects
Visable light- Violate
Ultraviolet- Urchin
X Ray- Xylophones with
Gamma Ray- Gay Racoons