Observational Astronomy 1

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    IESO

    Observational Astronomy

    Part 1

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    Foundations of Astronomy

    Learning Goals

    Describe the Celestial Sphere and how astronomers use

    angular measurement to locate objects in the night sky.

    Account for the apparent motions of the Sun and the starsin terms of the actual motion of the Earth. Explain why

    our planet has seasons.

    Understand the changing appearance of the Moon and how

    the relative motions of the Earth, the Sun, and the Moon

    lead to eclipses.

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    The Earth's rotation axis is tilted with respect to its orbit around

    the Sun => seasons.

    Summer Winter

    ScorpiusOrion

    Tilt is 23.5o

    DayNight Day NightSun high in

    northern sky

    Sun low in

    northern sky

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    The Motion of the Moon

    The Moon has a cycle of "phases", which lasts about 29 days.

    Half of the Moon's surface is lit by the Sun.

    During this cycle, we see different fractions of the sunlit side.

    Which way is the Sun here?

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    The Motion of the Moon

    DEMO - Phases of the Moon

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    Eclipses

    Lunar Eclipse

    When the Earth passes directly between the Sun and the Moon.

    Sun Earth Moon

    Solar Eclipse

    When the Moon passes directly between the Sun and the Earth.

    Sun EarthMoon

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    Solar Eclipses

    Total

    Diamond ring effect - just beforeor after total

    Partial

    Annular - why do these occur?

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    LunarEclipse

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    Why don't we get

    eclipses everymonth?

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    Moon's orbit tilted compared to Earth-Sun orbital plane:

    Sun EarthMoon

    Moon's orbit slightly elliptical:

    Earth

    Moon

    Side view

    Top view, exaggerated ellipse

    Distance varies by ~12%

    5.2o

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    Types of Solar Eclipses Explained

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    Certain seasons are more likely to have eclipses. Solar eclipse

    season lasts about 38 days. Likely to get at least a partial

    eclipse somewhere.

    It's worse than this! The plane of the Moon's orbit precesses, so

    that the eclipse season occurs about 19 days earlier each year.

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    Recent and upcoming total and annular solar eclipses

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    From Aristotle to Newton

    The history of the Solar System (and the universe to

    some extent) from ancient Greek times through to the

    beginnings of modern physics.

    The history of the Solar System (and the universe to

    some extent) from ancient Greek times through to the

    beginnings of modern physics.

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    What time of day does the first quarter moon

    set?

    A: 6am

    B: noon

    C: 6pm

    D: midnightE: Never sets

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    Clicker Question:Who was the first person to use a telescope

    to make astronomical discoveries?A: Aristotle

    B: Brahe

    C: KeplerD: Gallileo

    E: Newton

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    Brainstorm: What is a model and how is it useful?

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    "Geocentric Model" of the Solar System

    Aristotle vs. Aristarchus (3rd century B.C.):

    Aristotle: Sun, Moon, Planets and Stars rotate around fixed Earth.

    Ancient Greek astronomers knew of Sun, Moon, Mercury, Venus,

    Mars, Jupiter and Saturn.

    Aristotle: But there's no wind or parallax (apparent movement of

    stars).

    Difficulty with Aristotle's "Geocentric" model: "Retrograde motion of the

    planets".

    Aristarchus: Used geometry of eclipses to show Sun bigger than Earth

    (and Moon smaller), so guessed that Earth orbits the Sun. Also

    guessed Earth spins on its axis once a day => apparent motion of stars.

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    Planets generally move in one direction relative to the stars, but

    sometimes they appear to loop back. This is "retrograde motion".

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    But if you support geocentric model, you must attribute retrograde

    motion to actual motions of planets, leading to loops called

    epicycles.

    Ptolemy's geocentric model (A.D. 140)

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    "Heliocentric" Model

    Rediscovered by Copernicus in 16th

    century.

    Put Sun at the center of everything.

    Much simpler. Almost got rid of retrograde

    motion.

    But orbits circular in his model. In reality,

    theyre elliptical, so it didnt fit the data well.

    Not generally accepted then.

    Copernicus 1473-1543

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    Illustration from

    Copernicus' workshowing heliocentric

    model.

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    Planets generally move in one direction relative

    to the stars, but sometimes they appear to loop

    back. This is "retrograde motion".

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    Planets generally move in one direction relative

    to the stars, but sometimes they appear to loop

    back. This is "retrograde motion".

    1

    2

    3

    4

    56

    7

    12

    3

    4

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    67

    Earth

    Mars

    Apparent motion

    of Mars against

    "fixed" stars

    *

    *

    * *

    *

    *

    January

    July

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    Galileo (1564-1642)

    Built his own telescope (1609).

    Discovered four moons orbiting Jupiter

    => Earth is not center of all things!

    Co-discovered sunspots. Deduced Sun

    rotated on its axis.

    Discovered phases of Venus, inconsistentwith geocentric model.

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    Kepler (1571-1630)

    Used Tycho Brahe's precise data on

    apparent planet motions and relative

    distances.

    Deduced three laws of planetary

    motion.

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    Kepler's First Law

    The orbits of the planets are elliptical (not circular)with the Sun at one focus of the ellipse.

    Ellipses

    eccentricity =

    (flatness of ellipse)

    distance between foci

    major axis length

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    Kepler's Second Law

    A line connecting the Sun and a planet sweeps out equal

    areas in equal times.

    Translation: planets move faster

    when closer to the Sun.

    slower faster

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    Kepler's Third Law

    The square of a planet's orbital period is proportional to the

    cube of its semi-major axis.

    P2 is proportional to a3

    or

    P2 a3

    (for circular orbits, a=b=radius).

    Translation: the larger a planet's orbit,

    the longer the period.

    a

    b