Image PowerPoint

Chapter 1

Last revised:

25-Jan-10

Astronomy Today,

5 th edition

Chaisson

McMillan

© 2005 Pearson Prentice Hall

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Learning Goals for this Chapter

• What is the scientific method ?

• Scientific notation , units and prefixes

• The celestial sphere & angular measurement

• Motion of the Sun, Moon & stars in the sky

• Phases of the Moon

• Precession of the Earth’s axis

• The sky clock & calendar – archaeoastronomy

• Lunar and solar eclipses

• Parallax measurements for distances and sizes

Chapter 1 Opener

Charting the Heavens: The Foundations of Astronomy

Betelgeuse

Orionis

58 Orionis

Orion’s Belt

Orion Nebula (M42)

Rigel

The Orion

Constellation

One of 88 in the sky

Sizes/Scales in the Universe

Units and Scales

• Greek letters

• Scientific notation (powers of 10)

• SI Units (mks system)

• Fundamental constants

• Periodic Table of the Elements

• Atomic & molecular structure

Greek Alphabet

Scientific Notation

Numbers are written in form of a x 10 b

Ordinary decimal notation

300

4,000

5,720,000,000

−0.0000000061

Scientific notation

(normalized)

3 ×10 2

4 ×10 3

5.72

×10 9

−6.1×10 −9

SI UNITS

•Measurement system used all over the world except for 3 countries (US, Liberia & Burma)

• Base units are the meter(m) , kilogram(kg) & second(s) for length, mass & time

• Other units made by combining these, e.g., velocity in m/s; acceleration in m/s 2 ; force in kgm/s 2 (= Newton) ; energy in N·m (= Joule); power in J/s (= Watt)

Fundamental Constants

Physical quantities that are generally believed to be both universal in nature and constant in time

.

Examples:

Quantity speed of light in vacuum

Newtonian constant of gravitation

Symbol c

G

Planck constant h proton mass m p

Value

Relative Standard

Uncertainty

299 792 458 m·s −1 defined

6.67428(67) ×10 −11 m 3 ·kg −1 ·s −2

1.0 × 10 −4

6.626 068 96(33) ×

10

−34 J·s

1.672 621 637(83)

× 10 −27 kg

5.0 × 10 −8

5.0 × 10 −8

PERIODIC TABLE OF THE ELEMENTS

Atomic Number (Z)

= #protons = #electrons

Atomic Weight /Mass Number

(#protons + #neutrons)

Helium

Z = 2

Beryllium

Z = 4

ATOMIC & MOLECULAR STRUCTURE

Lithium

Z = 3

Methanol

CH

3

OH

Methane

CH

4

Caffeine

Figure 1-1 Earth

= 15,000 x (3/5)mi/km =9000 mi

Figure 1-2 The Sun

X (3/5)mi/km = 900,000 mi

Sunspots are

About the size of the Earth!

sunspots

Figure 1-3 Spiral Galaxy (similar to our Milky Way)

Latest News :

Milky way thickness was thought to be 6000 ly.

Now seems to be 12,000 ly.

Figure 1-4 Galaxy Cluster

( 1 ly = 6 trillion miles )

Figure 1-5

Sizes and

Scales

Figure 1-6 Scientific Method

The Scientific Method

The

Traditional

Scientific

Method

Figure 1-7

A Lunar Eclipse

The Moon traveling through the shadow of the Earth

Figure 1-8

Constellation Orion

Naked eye view of bright stars

In Orion

Traditional stick figure constellation

Constellations

Constellations are now defined by the IAU as 88 areas of the sky. They usually contain the old star groups from earlier times.

Asterisms vs.

Constellations

Asterism - Easily recognizable pattern of stars.

Can be within a constellation

(e.g., Big Dipper in

Ursa Major)

OR

From more than one constellation

(e.g., Summer Triangle

– one star each from

Lyra , Cygnus and

Aquila )

Centaurus

To the ancients all stars were equidistant on the celestial sphere

Figure 1-9

Orion in 3-D

Once we could determine stellar distances then we found stars at

Varied distances and moving in many directions

Figure 1-10

Constellations Near Orion

Figure 1-11

TheCelestial Sphere

Figure 1-12

Northern Sky

Seasons

Caused by the 23½° tilt of Earth’s rotational axis to the ecliptic plane

Ecliptic -The Apparent Path the Sun takes across the Sky

Fall

Equinox

Spring

Equinox

Motion of Objects in Sky

Relative to the Horizon

Seasonal

Movement of Sun in the Sky

Seasonal

Length of Days

Seasonal

Movement of

Sunrise and

Sunset Positions

Picture of solar paths over the course of one year showing the change in sunrise/sunset positions on the horizon and the height of the Sun above the horizon at noon

Some of the preserved examples of the thousands of examples of historic structures constructed by many civilizations to follow the motions of the Sun, Moon and stars in order to keep time.

Summer Sky

Figure 1-14

Typical Night Sky

Winter Sky

Figure 1-15

The Zodiac Constellations

WINTER

SPRING

SUMMER

FALL

Ecliptic

Solar and

( Relative to the Sun - the Sun overhead)

Sidereal Days ( Relative to the stars - 360 degree rotation )

Solar day takes 4 minutes more to get Sun overhead

Toward a distant star

Solar and Sidereal Months

Figure 1-19

Variations in the Solar Day

Time Zones

Figure 1-18

Precession: the path of the north celestial pole in the sky

Period of 26,000 yrs

Presently the “North

Star” is Polaris

In ancient Egypt the

North star was Thuban

In the distant future the North star will be

Vega

Figure 1-21

Lunar Phases

Lunar Phases

Rising &

Settting Times

Lunar Eclipse

Earth’s shadow

Figure 1-24

Total Solar Eclipse

Solar Corona

Eclipse Paths

Figure 1-28

Eclipse Tracks

Figure 1-25

Types of

Solar

Eclipses:

Partial,

Total

&

Annular

Umbral shadow

Moon is farther from Earth due to its elliptical orbit and therefore does not cover the Sun’s disk

Figure 1-26

Annular Solar Eclipse

Earth

Total Annular Partial

How can we explain why eclipses are seen so rarely by most of us living here on Earth.

Why aren’t they seen every month of the year?

Intersection of the ecliptic and lunar orbital planes

Figure 1-27

Eclipse

Geometry

Lunar orbital plane is tilted 5 degrees from the ecliptic plane

Only when the

Line of Nodes points towards the Sun can the Moon, Sun & Earth be on that line together and cause eclipses to occur

Line of Nodes

More Precisely 1-1

Angular

Measurement

Units

Figure 1-32

Parallax

Geometry

Figure 1-29

Triangulation

Parallax

Method of determining distances

The Surveyor’s

Method

Figure 1-30

Geometric Scaling

More Precisely 1-3a

Measuring Distances with Geometry

More Precisely 1-3b

Measuring Diameters with Geometry

Stellar Parallax d* = 1/θ*

Examples:

θ

* d

*

= 1 arcsecond

= 1/1 arcsec

( ˝ )

= 1 parallax arcsecond

[ parsec or pc ]

θ * = 0.002” d* = 1/0.002” = 1/(2.0x10

-3 )

˝

= 0.5 x 10 +3 pc = 500 pc

= 500 (3.26 ly) ≈ 1600 ly

This was first able to be done in 1838 by Friedrich Bessel when telescopes got good enough to see these very tiny angular movements of arcseconds.

People in the past thought the Earth was flat.

NO! They were sailors and they watched lunar eclipses. Both of these experiences told them the Earth was a spheroid.

Ships sailed over the horizon appearing to disappear hull first and then the sails They reappeared in the opposite order.

The Earth’s shadow on the Moon appears as a circle.

Figure 1-33

Eratosthenes ’ Method of

Measuring Earth’s Radius

About 200 BC

More Precisely 1-2

Celestial Coordinates

Declination ( δ)

90 °N to 90°S

Right Ascension (RA)

0 h 0 m 0 s to 24 h

0 RA starts at the spring equinox pt. on the celestial sphere. This pt. moves due to precession so coordinates need to be recalculated for different

“epochs”. At present that pt. is in Aries and we use

Epoch 2000 or 2050 star charts.

Stellar Catalogs

• The following 3 slides show typical star catalog lists for the nearest stars to the

Earth and the brightest stars seen from

Earth

• Note the columns of stellar properties such as their coordinates (RA & Declination) and their parallax/distances

25 BRIGHTEST

STARS

R.A.

Decl .

App.

Mag.

d

*

Spectral class

Abs.

Mag.

Nearest Stars

Nearest Stars (again)

Most stars come in multiples!