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Astronomy is
an observational science-we cannot usually interact w/ our subjects
Steps of Scientific method
1. observe some phenomena, 2. propose a hypothesis, 3. make a prediction based on the hypothesis, 4. test the prediction
Theories
are ALWAYS subject to revision based on new data
1 circle
360° degrees
1 degree
60' arc minutes
1 arc minute
60" arc seconds
Moon and Sun both subtend
1/2°(30') in the sky
small angle formula
relates the apparent angle size to the physical size and distance of an object. If you know any two, you can calculate the third
What is the small angle formula?
D=θd/206265
D in small angle formula
physical size
θ in small angle formula
angular size you measure
d in small angle formula
distance to the formula
θ is
always in arc seconds
scientific notation
a method of writing and manipulating large and small numbers
Basic units
distance, time, mass
compound units
speed/velocity,density,acceleration
Astronomical Unit
the average distance between the Earth and Sun, usually used in discussing distances w/in the Solar System
1.5 x 10^8 km
Light Year
the distance light travels in one year at a vacuum, used for distance to stars and galaxies
9.5 x 10^12 km=63,240 AU
Light Year is important for
look back time
If we saw a star one light year away, we would see
what it looks like from one year ago
Parsec
the distance at which 1 AU subtends on one angle of one arc second. Used for distances to stars and galaxies.
1 parsec equals
3.1 x 10^13 km=3.26 light years β
constellation
a collection of stars that people see patterns in, different cultures throughout history have seen different patterns in the sky, ex: Orion, Sagittarius, the Big Dipper
How many official constellations are there according to the International Astronomical Union?
88
celestial sphere
an imaginary crystal sphere around the Earth onto which stars are attached
celestial equator
the intersection of the plane of the Earth's equator and the celestial equator
celestial poles
the extension of the Earth's rotational axis to the celestial sphere
ecliptic
the apparent path of the Sun along the celestial sphere or the plane of the Earth's orbit around the Sun
Seasons
changing weather patterns caused by the tilt of the Earth's rotational axis to its orbital plane(ecliptic)
pseudoscience
1. observe a phenomenon, 2. propose a hypothesis
real science
3.make a prediction, 4.test the prediction
Never..., ...
done testing, prove hypothesis
angle
opening between two lines
right angle
90°
acute angle
less than 90°
obtuse angle
more than 90°
straight angle
180°
science
a way of looking at the world, method to understand the universe not a body of knowledge
scientific method
"self-correcting" must be proven thus true
Where do astronomers work?
observatories(usually on mountains) and telescopes
altitude
distance an object appears to above the horizon
azimuth
the angular distance along the horizon to the object, measured from north towards the east along the horizon
zenith
the point on the celestial sphere directly overhead an observer
right ascension
like longitude on celestial sphere
declination
like latitude on celestial sphere
vernal equinox
starting point go right ascension and the point where ecliptic crosses the celestial equator going from south to north
Precession
the "wobble" of the Earth's rotational axis
Period of a precession
26,000 years
In a precession, it is the... the axis points, not the ... 23.5° that changes
direction, angle
Mean Solar Day
exactly 24 hours by definition
Apparent Solar Day
the time between two consecutive moons, time measured w/ respect to the Sun
Sidereal Day
time measure with respect to the "fixed" stars
23 hrs 56min long 4.01 sec
Sidereal Year
the time it takes the earth to make a complete orbit around the Sun
365.2524 solar days long
Tropical(seasonal) year
the time it takes the Sun to come back to the vernal equinox, because of precession
364.24 mean solar days
Lunar phases depend on...
the Earth-Moon-Sun position
New Moon
moon is 0° from the Sun in the sky
1st quarter
moon is 90° east of Sun in the sky
full Moon
moon is 180° from the Sun in the sky
3rd quarter
moon is 90° west of the Sun in the sky
additional phases
waning gibbous, waxing gibbous, waning crescent, waxing crescent
moon's orbit
elliptical, at a 5° angle with respect to the ecliptic plane, in an eastward direction, moves 13° further east everyday
synchronous rotation
Moon's rotational period is equal to its orbital period so we only see one side of the Moon
sidereal month
one orbit of the moon around the Earth with respect to the fixed stars
solar eclipse
Moon moves directly between Earth and Sun
1)phase must be new
2)line of nodes must point toward the Sun
lunar eclipse
Moon moves through Earth's shadow
1)phase must be full
2)line of nodes must point toward the Sun
total eclipse
observer is in the Umbra(darkest part of shadow)
partial eclipse
observer is in the Penumbra(lightest part of shadow)
annular eclipse
the angular diameter of the Moon is so small(Moon is at apogee) and cannot completely cover Sun in spite of precise allignment
cosmology
the theory of the creation and evolution of the universe
retrograde motion
apparent westward motion of the planets among the stars
geocentric cosmology
Earth-centered model, Ptolemy(100 AD), Earth in the center, celestial sphere around Earth, planets orbited Earth
heliocentric cosmology
Sun-centered model, Copernicus(1543), Sun was center of universe
What did Copernicus determine?
order of planets from Sun, sidereal periods, semi-major axes in AU
What was Tycho Brahe the first to prove?
meteors were no "shooting stars" but space debris in our atmosphere and to understand supernova are exploding stars
What did Johanes Kepler do with Tycho's data?
He deduced 3 laws of planetary motion
Kepler's First Law
orbit of a planet around the Sun is an ellipse w/ the Sun at one focus
Kepler's Second Law
planets sweep out equal areas in equal times
Kepler's Third Law
p^2=a^3 (sidereal period(yrs)=semimajor axis(in AU) cubed)
What was Galileo Galilei the first to do?
use a telescope to observe astronomical things
What were Galileo's five discoveries?
-showed Venus orbited the Sun(had phases)
-discovered 4 largest moons of Jupiter
-saw craters and mountains on the Moon
-showed the Sun had 'sunspots" and rotated
-started branch of physics known as mechanics(study of motion)
speed
how fast something moves
velocity
speed + direction
acceleration
change in velocity/change in time
momentum
mass x velocity
vector quantities
quantities that have both direction and magnitude "how much"
scaler quantities
quantities that have only magnitude "how much"
Newton's first law
(law of inertia) a body remains at rest or moves in a straight line at constant speed unless acted upon by an outside force
Newton's second law
the acceleration of an object is proportional to the force acting on the object
F=ma
Newton's third law
whenever one object exerts force on another object, the 2nd object exerts an equal but opposite force on the first object
formula: FA = −FB.
Newton's law of gravity
F= -GMm/d^2
Universal constant of gravity: 6.67 x 10^11 newtons m^2/kg^2