Astronomy: A Self-Teaching Guide, Eighth Edition
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About this ebook
"One of the best ways by which one can be introduced to the wonders of astronomy." —The Strolling Astronomer
For a generation, Astronomy: A Self-Teaching Guide has introduced hundreds of thousands of readers worldwide to the night sky. Now this classic beginner's guide has been completely revised to bring it up to date with the latest discoveries. Updated with the latest, most accurate information, new online resources, and more than 100 new graphics and photos, this Eighth Edition features:
Dinah L. Moché
Dinah L. Moché, Ph.D., is Professor of Physics and Astronomy at the City University of New York. An award-winning author and lecturer, her books have sold over ten million copies in seven languages.
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Reviews for Astronomy
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- Rating: 5 out of 5 stars5/5This is an excellent, concise review of basic astronomy. Short chapters include problems (with solutions) at the end, and brief questions throughout. This is not an in depth review of astronomy, but just a brief overview of the basics. One of the strengths of this book is the inclusion of a lot of web sites and references for further investigation.
Book preview
Astronomy - Dinah L. Moché
INTRODUCTION: COSMIC VIEW
Strange is our situation here upon Earth. Each of us comes for a short visit, not knowing why, Yet sometimes seeming to divine a purpose.
Albert Einstein (1879–1955)
On a clear night in a place where the sky is really dark, you can see about 2000 stars with your unaided eye. You can look trillions of kilometers into space and peer thousands of years back into the distant past.
As you gaze at the stars you may wonder: What is the pattern or meaning of the starry heavens? What is my place in the vast cosmos? You are not alone in asking these questions. The beauty and mystery of space have always fascinated people.
Astronomy is the oldest science—and the newest. Exciting discoveries are being made today with the most sophisticated tools and techniques ever available. Yet you can still make important contributions.
This book will teach you the basic concepts of astronomy and space exploration. You will more fully enjoy observing the stars as your knowledge and understanding grow. You will be better able to surf the web and to read more on topics that intrigue you, from ancient astronomy to the latest astrophysical theories and spaceflights.
As you teach yourself astronomy, refer to these tools:
Now, begin reading about the enormous tracts of space and time we call the universe, and stretch your mind!
Our home is planet Earth, a rocky ball about 13,000 km (8000 miles) in diameter suspended in the vastness of space-time (Figure I.1).
Figure I.1. Earth photographed from space. Sunshine dramatically spotlights Earth’s blue ocean, reddish-brown land masses, and white clouds from the Mediterranean Sea area to the Antarctica polar ice cap.
Figure I.2. Planets orbiting the Sun in our solar system. (Drawing not to scale.)
Earth belongs to our solar system (Figure I.2). Our solar system consists of one star—our Sun—plus planets, moons, small solar system bodies, and dust particles, all of which revolve around the Sun. Our solar system is more than 15 trillion km (9 trillion miles) across.
Figure I.3. Our solar system in the Milky Way Galaxy.
The Sun and our solar system are located in one of the great spiral arms of the Milky Way Galaxy (Figure I.3). Our immense Milky Way Galaxy includes over 200 billion stars plus interstellar gas and matter, both luminous and dark, all revolving around the center. The Milky Way Galaxy is about 100,000 light-years across. (One light-year is practically 10 trillion km, or 6 trillion miles.)
Our Milky Way Galaxy is only one of billions of galaxies that exist to the edge of the observable universe, some 14 billion light-years away (Figure I.4).
Figure I.4. Nearly 5,500 distant galaxies in a patch of sky a small fraction as big as the full Moon, in the constellation Fornax. Each galaxy includes billions of stars.
1 UNDERSTANDING THE STARRY SKY
And that inverted bowl we call the Sky
Where under crawling coop’t we live and die
Lift not your hands to it for help—for It
As impotently rolls as you and I.
Rubáiyát of Omar Khayyám (1048–1131)
Objectives
Locate sky objects by their right ascension and declination on the celestial sphere.
Identify some bright stars and constellations visible each season.
Explain why the stars appear to move along arcs in the sky during the night.
Explain why some different constellations appear in the sky each season.
Explain the apparent daily and annual motions of the Sun.
Define the zodiac.
Describe how the starry sky looks when viewed from different latitudes on Earth.
Define a sidereal day and a solar day, and explain why they differ.
Explain how astronomers classify objects according to their apparent brightness (magnitude).
Explain why the polestar and the location of the vernal equinox change over a period of thousands of years.
1.1 STARGAZER’S VIEW
On a clear, dark night the sky looks like a gigantic dome studded with stars. We can easily see why the ancients believed that the starry sky was a huge sphere turning around Earth.
Today we know that stars are remote, blazing suns racing through space at different distances from Earth. The Earth rotates, or turns, daily around its axis (the imaginary line running through its center between the North and South Poles).
But the picture of the sky as a huge, hollow globe of stars that turns around Earth is still useful. Astronomers call this fictitious picture of the sky the celestial sphere. Celestial
comes from the Latin word for heaven.
Astronomers use the celestial sphere to locate stars and galaxies and to plot the courses of the Sun, Moon, and planets throughout the year. When you look at the stars, imagine yourself inside the celestial sphere looking out (Figure 1.1).
Why do the stars on the celestial sphere appear to move during the night when you observe them from Earth?
Answer: Because the Earth is rotating on its axis inside the celestial sphere.
Figure 1.1. (a) To a stargazer on Earth, all stars appear equally remote. (b) We picture the stars as fixed on a celestial sphere that spins westward daily (opposite to Earth’s actual rotation).
1.2 CONSTELLATIONS
It is fun to go outside and see a young blue-white star or a dying red giant star in the sky right after you read about them. You may think you will never be able to tell one star from another when you begin stargazing, but you will.
The removable star maps at the back of this book have been drawn especially for beginning stargazers observing from around 40°N latitude. (They should be useful to new stargazers throughout the midlatitudes of the northern hemisphere.)
Stars appear to belong to groups that form recognizable patterns in the sky. These star patterns are called constellations. Learning to identify the most prominent constellations will help you pick out individual stars.
The 88 constellations officially recognized by the International Astronomical Union are listed in Appendix 1. Famous ones that shine in these latitudes are shown on your star maps. Their Latin names and the names of asterisms, or popular unofficial star patterns, are printed with the initial letters capitalized.
Thousands of years ago people named the constellations after animals, such as Leo the Lion (Figure 1.2), or mythological characters, such as Orion the Hunter (Figure 5.1). More than 2000 years ago the ancient Greeks recognized 48 constellations.
Modern astronomers use the historical names of the constellations to refer to 88 sections of the sky rather than to the mythical figures of long ago. They refer to constellations in order to locate sky objects. For instance, saying that Mars is in Leo helps locate that planet, just as saying that Houston is in Texas helps locate that city.
Figure 1.2. Constellation Leo is best seen in early spring when it is high in the sky. (a) Brightest star Regulus marks the lion’s heart, a sickle of stars his mane, and a triangle of stars his hindquarters and tail. (b) Leo the Lion.
Look over your star maps. Notice that the dashed line indicates the ecliptic, the apparent path of the Sun against the background stars. The 12 constellations located around the ecliptic are the constellations of the zodiac, whose names are familiar to horoscope readers.
List the 12 constellations of the zodiac.
Answer: Pisces, Aries, Taurus, Gemini, Cancer, Leo, Virgo, Libra, Scorpius, Sagittarius, Capricornus, Aquarius.
1.3 CIRCUMPOLAR CONSTELLATIONS
Study your star maps carefully. You will notice that several circumpolar constellations, near the north celestial pole (marked POLE +), appear on all four maps.
These are north circumpolar constellations, visible above the northern horizon all year long at around 40°N latitude (Figure 1.3). At this latitude, the south celestial pole and nearby south circumpolar constellations do not rise above the horizon any night of the year.
List the three circumpolar constellations closest to Polaris (the North Star) and sketch their outlines.
Answer: Three circumpolar constellations that you should be able to pick out on the star maps are Cassiopeia, Cepheus, and Ursa Minor. After you know their outlines, try to find them in the sky above the northern horizon. Note: At latitude 40°N or higher, Ursa Major and Draco are also circumpolar.
1.4 HOW TO USE THE STAR MAPS
You can use the star maps outdoors to identify the constellations and stars you see in the night sky and to locate those you want to observe.
Figure 1.3. A time exposure taken with a camera aimed at the north celestial pole over the U.S. Kitt Peak National Observatory shows star trails that mirror Earth’s actual rotation. Kitt Peak is a 2100-m-high (6900-ft-high) site about 30 km (50 miles) outside of Tucson, Arizona. www.noao.edu/kpno
Choose the map that pictures the sky at the month and time you are stargazing. Turn the map so that the name of the compass direction you are facing appears across the bottom. Then, from bottom to center, your star map pictures the sky as you are viewing it from your horizon to the point directly over your head.
For example, if you are facing north about 10:00 P.M. in early April, turn the spring skies map so that the word NORTH is at the bottom. From the horizon up, you may observe Cassiopeia, Cepheus, the Little Dipper in Ursa Minor, and the Big Dipper in Ursa Major.
Name a prominent constellation that shines in the south at about 8:00 P.M. in early February. __________
Answer: Orion.
1.5 HOW TO IDENTIFY CONSTELLATIONS
The constellations above the southern horizon parade by during the night and change with the seasons. Turn each map so that the word SOUTH is at the bottom. Use your star maps to identify the most prominent constellations that shine each season (such as Leo in the spring and Orion in the winter).
Identify and sketch three constellations that you can see this season.
Answer: Your answer will depend on the season. For example, if you are reading this book in the spring, you might choose Leo, Virgo, and Boötes.
1.6 STAR NAMES
Long ago, more than 50 of the brightest stars were given proper names in Arabic, Greek, and Latin. The names of bright or famous stars to look for are printed on your star maps with the initial letters capitalized.
Today astronomers use alphabets and numerals to identify hundreds of thousands of stars. They refer to each of the brightest stars in a constellation by a Greek letter plus the Latin genitive (possessive) form of the constellation name. Usually the brightest star in a constellation is α, the next brightest is β, and so on. (The Greek alphabet is listed in Appendix 3.) Thus, Regulus is called α Leonis, or the brightest star of Leo. Fainter stars, not shown on your maps, are identified by numbers in star catalogs.
In a built-up metropolitan area you can see only the brightest stars. When you are far from city lights and buildings and the sky is very dark and clear, you can see about 2000 stars with your unaided eye.
Name the three bright stars that mark the points of the famous Summer Triangle. Refer to your summer skies map.
Answer: Vega, Deneb, and Altair. Look for the Summer Triangle overhead during the summer.
1.7 BRIGHTNESS
Some stars in the sky look brighter than others. The apparent magnitude of a sky object is a measure of its observed brightness as seen from Earth. Stars may look bright because they send out a lot of light or because they are relatively close to Earth.
In the second century B.C., the Greek astronomer Hipparchus divided the visible stars into six classes, or magnitudes, by their relative brightness. He numbered the magnitudes from 1 (the brightest) through 6 (the least bright).
Modern astronomers use a more precise version of the ancient classifying system. Instead of judging brightness by the eye, they use an instrument called a photometer to measure brightness. Magnitudes for the brightest stars are negative—the brightest night star, Sirius, measures –1.44. Magnitudes range from –26.75 for the Sun to about +31 for the faintest objects observed in a space telescope. A difference of 1 magnitude means a brightness ratio of about 2.5.
Magnitudes are shown on your star maps and in Table 1.1. For example, we receive about 2.5 times as much light from Vega, a star of magnitude 0, as we do from Deneb, a star of magnitude 1, and about 6.3 times as much light as from Polaris, of magnitude 2. (Magnitudes are discussed further in Section 3.14.)
What do astronomers mean by apparent magnitude
?
Answer: How bright a sky object looks.
1.8 LOCATION ON EARTH
The more you understand about stars and their motions, the more you will enjoy stargazing. A celestial globe helps you locate sky objects as a terrestrial (Earth) globe helps you locate places on Earth.
Remember how Earth maps work. We picture the Earth as a sphere and draw imaginary guidelines on it. All distances and locations are measured from two main reference lines, each marked 0°. One line, the equator, is the great circle halfway between the North and South Poles that divides the globe into halves. The other line, the prime meridian, runs from pole to pole through Greenwich, England.
Imaginary lines parallel to the equator are called latitude lines. Those from pole to pole are called longitude lines, or meridians. You can locate any city on Earth if you know its coordinates of latitude and longitude. Distance on the terrestrial sphere can be measured by dividing the sphere into 360 sections, called degrees (°). (Angular measure is defined in Appendix 3.)
Refer to the globe in Figure 1.4. Identify the equator; prime meridian; 30°N latitude line; and 30°E longitude line. (a) __________ ; (b) __________ ; (c) __________ ; (d) __________
Answer: (a) 30°N; (b) 30°E; (c) equator; (d) prime meridian.
Figure 1.4. Terrestrial globe.
1.9 CELESTIAL COORDINATES
Astronomers draw imaginary horizontal and vertical lines on the celestial sphere similar to the latitude and longitude lines on Earth. They use celestial coordinates to specify directions to sky objects.
The celestial equator is the projection of the Earth’s equator out to the sky. Angular distance above or below the celestial equator is called declination (dec). Distance measured eastward along the celestial equator from the zero point, the vernal equinox, is called right ascension (RA). Right ascension is commonly measured in hours (h), with 1h = 15°.
Just as any city on Earth can be located by its coordinates of longitude and latitude, any sky object can be located on the celestial sphere by its coordinates of right ascension and declination.
Give the location of the star shown in Figure 1.5. ________________________
Answer: 20h RA, 30°N declination.
Figure 1.5. Celestial globe.
1.10 LOCATION ON THE CELESTIAL SPHERE
Every star has a location on the celestial sphere, where it appears to be when sighted from Earth. The right ascension and declination of stars for a standard epoch, or point of time selected as a fixed reference, change little over a period of many years. They can be read from a celestial globe, star atlas, or computer software. (See Table 1.1, for example. You’ll be referring to this table when the information it contains is discussed in later chapters.)
TABLE 1.1 The Brightest Stars
Note: Magnitudes are visual magnitudes, measured over visible wavelengths.
Abbreviations
Right Ascension: h = hours; m = minutes of time
Declination: ° = degrees; ´ = minutes of arc
Distance: ly = light-year; lm = light-minute
The locations of the Sun, Moon, and planets on the celestial sphere change regularly. You can find their monthly positions, rise and set times, and other practical data in current astronomical publications, websites, software, and apps (see Useful Resources). The U.S. Naval Observatory provides data and the official U.S. time. http://aa.usno.navy.mil
Explain why in any given era the stars may be found at practically the same coordinates on the celestial sphere, while the Sun, Moon, and planets change their locations regularly.
Answer: The stars are too far from Earth for the unaided eye to see them move even though they are traveling many kilometers per second in various directions. The Sun, Moon, and planets are much closer to Earth. We see them move relative to the distant stars.
1.11 LOCAL REFERENCE LINES
Lines of declination and right ascension are fixed in relation to the celestial sphere and move with it as it rotates around an observer. Other useful reference lines relate to the local position of each observer and stay fixed with the observer while sky objects pass by.
At your site, the zenith is the point on the celestial sphere directly over your head. The celestial horizon is the great circle on the celestial sphere 90° from your zenith. Although the celestial sphere is filled with stars, you can see only those that are above your horizon. The celestial meridian is the great circle passing through your zenith and the north and south points on your horizon. Only half of the celestial meridian is above the horizon.
Refer to Figure 1.6. Identify the stargazer’s zenith; celestial horizon; and celestial meridian. (a) __________ ; (b) __________ ; (c) __________
Answer: (a) Zenith; (b) meridian; (c) horizon.
Figure 1.6. A stargazer’s local reference lines.
1.12 CELESTIAL MERIDIAN
Go outside and trace out your zenith, celestial horizon, and celestial meridian by imagining yourself, like that stargazer, at the center of the huge celestial sphere.
If possible, try this on a clear, dark, starry night. Face south. Observe the stars near your celestial meridian several times during the night. Describe what you observe.
Answer: The stars move from east to west and transit, or cross, your celestial meridian. This is because of the Earth’s rotation from west to east. A star culminates, or reaches its highest altitude, when it is on the celestial meridian.
1.13 LATITUDE AND STARGAZING
The stars that appear above your horizon and their paths across the sky depend on your latitude on Earth. The sky looks different from different latitudes (Figure 1.7).
Figure 1.7. Local orientation of the celestial sphere at 40°N latitude. (a) View from a fictitious spot on the outside. (b) Stargazer’s view.
If you could look at the sky from the North Pole and then from the South Pole you would see completely different stars. The Earth cuts your view of the celestial sphere in half.
You can determine how the celestial sphere is oriented with respect to your horizon and zenith at any place on Earth. In the northern hemisphere, the north celestial pole is located above your northern horizon at an altitude equal to your latitude. Polaris, the polestar, or North Star, is less than one degree away from the north celestial pole and marks the position of the pole in the sky. The declination circle that is numerically equal to your latitude passes through your zenith. In the southern hemisphere, the south celestial pole is located above your southern horizon at an altitude equal to your latitude. It is not marked by a polestar.
Where would you look for the North Star if you were at each of the following locations: (a) the North Pole? __________ (b) the equator? __________ (c) 40°N latitude? __________ (d) your home? __________
Answer: (a) At your zenith; (b) on your horizon; (c) 40° above your northern horizon; (d) at an altitude above your northern horizon equal to your home latitude.
1.14 APPARENT DAILY MOTION OF THE STARS
The stars appear to move in diurnal circles, or daily paths, around the celestial poles when you observe them from the spinning Earth.
Although the North Star, Polaris, is not a very bright star, it has long been important for navigation. Closest to the north celestial pole, it is the only star that seems to stay in the same spot in the sky. You can find Polaris by following the pointer stars,
Dubhe and Merak, in the bowl of the Big Dipper in the constellation Ursa Major (Figure 1.8).
Since the celestial poles are at distinct altitudes in the sky at distinct latitudes, the part of a star’s diurnal circle that is above the horizon is different at different latitudes on Earth (Figure 1.9).
Figure 1.8. The pointer
stars, Dubhe and Merak, in the bowl of the Big Dipper lead you to the North Star, Polaris. The angular distance between these pointer stars is about 5° on the celestial sphere. A fist at arm’s length marks about 10°. These examples will help you judge other angular distances in the sky.
For example, if you stargaze at 40°N latitude, about the latitude of Denver, Colorado, U.S., you will see these stars (Figure 1.9): (1) Stars within 40° (your latitude) of the north celestial pole (those stars between +50° and +90° declination) are always above your horizon. These stars that never set—such as the stars in the Big Dipper—are north circumpolar stars. (2) Stars that are within 40° (your latitude) of the south celestial pole never appear above your horizon. These stars that never rise—such as the stars in the constellation Crux, the Southern Cross—are south circumpolar stars. (3) The other stars, in a band around the celestial equator, rise and set. Those stars that are located at 40°N declination (equal to your latitude) pass directly across your zenith when they cross your celestial meridian.
Figure 1.9. The sky from 40°N latitude. The north celestial pole is 40° above the northern horizon, and the celestial sphere rotates around it. Parallels of declination mark the stars’ diurnal circles.
Assume you are stargazing at 50°N latitude, about the latitude of Vancouver, Canada. Refer to Table 1.1 for the declinations of the bright stars Capella, Vega, and Canopus. Which of these stars will be above your horizon: (a) always? __________ (b) sometimes? __________ (c) never? __________
Answer: (a) Capella (+46°00′ declination). Stars within 50° of the north celestial pole (between +40° and +90° declination) are always above the horizon. (b) Vega (+38°47′ declination). This star rises and sets. (c) Canopus (–52°42′ declination) is within 50° of the south celestial pole (between –40° and –90° declination).
1.15 UNUSUAL VIEWS
Describe how the diurnal circles of the stars would look if you were stargazing at (a) the North Pole and (b) the equator. Explain your answer. Tip: Remember that the celestial sphere rotates around the celestial poles. (a) _____________________
(b) _____________________
Answer: (a) All stars would seem to move along circles around the sky parallel to your horizon. The celestial sphere rotates around the north celestial pole, which is located at your zenith at the North Pole. (b) All stars would seem to rise at right angles to the horizon in the east