Chapter 26 Earth and Its Moon
Chapter 26 Earth and Its Moon
Chapter 26 Earth and Its Moon
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<strong>Chapter</strong> <strong>26</strong><br />
THE RACE FOR THE MOON<br />
<strong>Earth</strong> <strong>and</strong> <strong>Its</strong> <strong>Moon</strong><br />
Ever since Galileo made his first telescopic observations of<br />
the moon’s surface in 1609, humans have dreamed of visiting<br />
<strong>Earth</strong>’s closest neighbor. A series of events in the midtwentieth<br />
century changed that dream into reality. During<br />
the Second World War, the German military developed rockets<br />
that were capable of long-range guided flight.<br />
Based on this technology, the Russians launched the first<br />
artificial satellite into orbit around <strong>Earth</strong> in 1957. This began<br />
the “space race” between the Soviet Union <strong>and</strong> the United<br />
States. In addition to the first artificial satellite, the achievements<br />
of the Soviet Union included the first human to travel<br />
outside <strong>Earth</strong>’s atmosphere, the first unmanned crash l<strong>and</strong>ing<br />
on the moon, <strong>and</strong> the first photographs of the far side of the<br />
moon.<br />
Apollo Program<br />
American politicians <strong>and</strong> scientists were embarrassed by the<br />
early triumphs of their rival. Thus began the American program<br />
to explore space, which led to the Apollo program of<br />
661
Figure <strong>26</strong>-1 The last Apollo mission in 1972 carried geologist Harrison Schmitt to<br />
the surface of the moon. The six manned moon l<strong>and</strong>ings greatly exp<strong>and</strong>ed<br />
scientists’ underst<strong>and</strong>ing of <strong>Earth</strong>’s nearest neighbor in space.<br />
lunar exploration. In July of 1969, American astronaut Neil<br />
Armstrong became the first human to set foot on the surface<br />
of the moon. That mission also returned the first samples of<br />
moon rock to <strong>Earth</strong>. In the next six Apollo missions, a total of<br />
382 kg (842 pounds) of moon rocks were brought back to<br />
<strong>Earth</strong> for scientific study. Figure <strong>26</strong>-1 is a photograph of geologist<br />
<strong>and</strong> Apollo 17 crew member Harrison Schmitt investigating<br />
the lunar surface. Since that last Apollo mission in<br />
1972, no other humans have visited the moon.<br />
Among the many discoveries of the Apollo program, scientists<br />
learned that the mineral composition of the surface of<br />
moon is very similar to the composition of <strong>Earth</strong>’s mantle.<br />
Plagioclase feldspar, pyroxene, <strong>and</strong> olivine are the most common<br />
minerals in the lunar samples.
Lunar Surface<br />
THE RACE FOR THE MOON 663<br />
The surface of the moon has two l<strong>and</strong>scape types, the lunar<br />
highl<strong>and</strong>s <strong>and</strong> the maria (from the Latin word for “seas”). The<br />
rocks of the lunar highl<strong>and</strong>s are mostly anorthosite, a rock<br />
type widespread in New York’s Adirondack Mountains, but<br />
not common in most places on <strong>Earth</strong>. The lunar maria are relatively<br />
flat <strong>and</strong> darker in color than the highl<strong>and</strong>s. They are<br />
composed of basalt, a relatively common dark-colored, finegrained,<br />
igneous rock on <strong>Earth</strong>.<br />
The moon has none of <strong>Earth</strong>’s most common sedimentary<br />
rocks because it has no atmosphere or surface water. Chemical<br />
weathering does not occur on the moon, although the surface<br />
is covered by material from meteorites <strong>and</strong> moon rocks<br />
broken by meteorite impacts. However, breccia, a rock formed<br />
from the breakage <strong>and</strong> welding of rock fragments, is found in<br />
the lunar highl<strong>and</strong>s. Radiometric dating has shown the oldest<br />
moon rocks are about the same age as <strong>Earth</strong>, 4.6 billion years.<br />
ACTIVITY <strong>26</strong>-1 LUNAR SURVIVAL KIT<br />
Imagine that you are part of a team chosen to explore the moon.<br />
You were scheduled to l<strong>and</strong> near the mother ship, which will take<br />
you back to <strong>Earth</strong>. Unfortunately, you were forced to l<strong>and</strong> 100 km<br />
from the rendezvous point on the lighted side of the moon. None<br />
of your crew is injured, but you need to select the most important<br />
items for your survival. Arrange the 15 items below from the most<br />
important item (#1) to the least useful (#15). Then, for each item,<br />
briefly explain why you gave it that priority.<br />
List of items:<br />
box of matches, dry food concentrate, 15-m nylon rope, parachute<br />
silk 6 m by 6 m, portable heater, two .45 caliber pistols, 4<br />
liters of dehydrated milk, three 50-kg tanks of oxygen, chart of the<br />
constellations, first aid kit, solar powered receiver–transmitter, 20<br />
liters of water, ocean life raft, five signal flares, flat metal mirror<br />
10 cm by 10 cm
664 CHAPTER <strong>26</strong>: EARTH AND ITS MOON<br />
WHAT IS THE HISTORY OF EARTH’S MOON?<br />
A moon is a natural satellite of a planet. A satellite is an<br />
object in space that revolves around another object under the<br />
influence of gravity. The moon is <strong>Earth</strong>’s only natural satellite.<br />
(<strong>Earth</strong>, like the other planets, is a satellite of the sun.)<br />
Although Mercury <strong>and</strong> Venus have no moons, all the other<br />
planets do have natural satellites. <strong>Earth</strong> is the only planet in<br />
our solar system with a single moon.<br />
Our moon is the largest compared with the planet it orbits.<br />
The moon’s diameter is a little more than a quarter of<br />
<strong>Earth</strong>’s diameter. In fact, our moon is larger than the outermost<br />
planet of our solar system, Pluto.<br />
Another curious feature of our moon is the fact that its pe-<br />
1<br />
riod of rotation <strong>and</strong> revolution are the same, about 27 3 days.<br />
Consequently, the same side of the moon always faces <strong>Earth</strong>.<br />
This is why features of the far side of the moon were unknown<br />
until the Soviets sent a satellite around the moon to<br />
take photographs early in the “space race.”<br />
The Origin of <strong>Earth</strong>’s <strong>Moon</strong><br />
There have been several theories about the origin of the<br />
moon. Some astronomers have suggested that the moon <strong>and</strong><br />
<strong>Earth</strong> formed as a double planet orbiting the sun. Others have<br />
speculated that the moon was an object in space that came<br />
close enough to <strong>Earth</strong> to be captured by <strong>Earth</strong>’s gravity.<br />
Most astronomers now agree that a collision between<br />
<strong>Earth</strong> <strong>and</strong> a smaller planet probably created the moon shortly<br />
after <strong>Earth</strong>’s formation. That impact destroyed the smaller<br />
planet <strong>and</strong> created a debris field in space. The debris came together<br />
under the influence of gravity, forming our moon.<br />
Surface Features of the <strong>Moon</strong><br />
The cratered surface of the moon contrasts sharply with<br />
<strong>Earth</strong>’s surface. Many large objects undoubtedly hit the moon<br />
<strong>and</strong> <strong>Earth</strong>.The highl<strong>and</strong>s of the moon have been solid for more
than 4 billion years. They are so covered with impact craters<br />
that the surface seems to be made of crater upon crater.<br />
The moon is small enough <strong>and</strong> its gravity weak enough that<br />
the moon was unable to hold an atmosphere. Consequently,<br />
there is no shell of gases surrounding the moon <strong>and</strong> no water<br />
on the moon’s surface to cause weathering, erosion, <strong>and</strong> deposition.<br />
Furthermore, unlike <strong>Earth</strong>, the surface of the moon is<br />
not composed of active tectonic plates that create <strong>and</strong> recycle<br />
surface material. Therefore, features on the moon last much<br />
longer than they do on <strong>Earth</strong>. The only active process on the<br />
moon is impact by meteoroids <strong>and</strong> other objects from space.<br />
Early in the history of the solar system, there were many more<br />
of these objects <strong>and</strong> impacts were far more common.<br />
It is clear from the dark lava flows that became the maria<br />
that the moon once had a molten interior. Most of the moon’s<br />
volcanic eruptions occurred between 3.8 <strong>and</strong> 3.1 billion years<br />
ago. The maria show less cratering than the highl<strong>and</strong>s because<br />
most of the impacts that created the largest craters occurred<br />
before the surface of the maria had formed. By 3 billion<br />
years ago, the surface of the moon probably looked pretty<br />
much as it does today. Whether the moon still has molten rock<br />
in its interior is a question that scientists have not yet settled.<br />
HOW CAN WE DESCRIBE ORBITS?<br />
HOW CAN WE DESCRIBE ORBITS? 665<br />
The earliest astronomers believed that the sky was a giant<br />
dome that covers <strong>Earth</strong> from horizon to horizon. The gradual<br />
realization that <strong>Earth</strong> is a sphere led to the idea that the sky<br />
is a larger sphere that surrounds <strong>Earth</strong>. The w<strong>and</strong>ering motion<br />
of the planets led to the idea that planets <strong>and</strong> the moon<br />
move in orbits independent of the fixed stars. These orbits<br />
were originally thought to be circles. However, careful observations<br />
of the planets showed that their motions could be explained<br />
best if their orbits were not circles, but ellipses.<br />
An ellipse is a closed curve formed around two fixed<br />
points such that the total distance between any point on the<br />
curve <strong>and</strong> the fixed points is constant. The fixed points are<br />
known as the foci of the ellipse. (The singular of foci is focus.)
666 CHAPTER <strong>26</strong>: EARTH AND ITS MOON<br />
If you use pins <strong>and</strong> a loop of string to draw an ellipse, the position<br />
of each pin is a focus of the ellipse. The string keeps<br />
the total distance to the two foci constant.<br />
In all orbits, the object the satellite revolves around, known<br />
as the primary, is located at one focus. For example, the <strong>Earth</strong><br />
is at one focus of the moon’s orbit.The sun is also located at one<br />
focus in <strong>Earth</strong>’s orbit.The other focus is a point in empty space.<br />
You should also note that <strong>Earth</strong> is not at the center of the<br />
moon’s orbit <strong>and</strong> the sun is not at the center of <strong>Earth</strong>’s orbit.<br />
ACTIVITY <strong>26</strong>-2 ORBIT OF THE MOON<br />
Obtain the following materials: one soft board approximately 12<br />
inches (30 cm) square (fiberboard, ceiling tile, or soft pine work<br />
well), two straight pins, adhesive tape, one piece of light string<br />
about 30–40 cm long, one sharp pencil, one clean sheet of stan-<br />
1<br />
dard size paper (82 inches by 11 inches), one metric ruler.<br />
Find the center of the sheet of paper by drawing two lines connecting<br />
opposite corners of the paper.<br />
1. Tie the string into a loop that is 10 cm long when fully<br />
stretched ( 0.5 cm).<br />
2. Tape the paper to the soft board.<br />
3. Stick one pin through the center of the sheet of paper <strong>and</strong><br />
into the soft board. Place the loop of string around it. Then<br />
stretch the loop to its greatest distance with the tip of the<br />
pencil. Keeping the loop taut <strong>and</strong> the pencil perpendicular<br />
to the paper, make a circle around the pin. Label it “circle”<br />
along its circumference.<br />
4. Place the two pins 4.5 cm from the center of the paper along<br />
the paper’s long axis. Stretch the string around both pins <strong>and</strong><br />
then draw out the string to make an ellipse.<br />
5. Make another ellipse by placing the two pins 1 cm apart (0.5<br />
cm each side of the center). Draw this ellipse <strong>and</strong> label it<br />
“Orbit of the <strong>Moon</strong>.”<br />
Is the “Orbit of the <strong>Moon</strong>” noticeably elongated?
Calculating Eccentricity<br />
The shape of an orbit is described by its eccentricity, or how<br />
elongated the ellipse is. The following equation, used to calculate<br />
the eccentricity of an ellipse, is found in the <strong>Earth</strong> Science<br />
Reference Tables:<br />
Eccentricity <br />
distance between foci<br />
length of major axis<br />
Whenever you are asked to calculate eccentricity, either<br />
the values will be given to you or a diagram will be provided<br />
that clearly shows the ellipse <strong>and</strong> the position of the two foci.<br />
If you are given a diagram, you will need to use a centimeter<br />
scale to measure these two distances. Remember that a centimeter<br />
scale is printed on the front cover of the <strong>Earth</strong> Science<br />
Reference Tables. The major axis is the distance across<br />
the ellipse measured at its widest point. (The smaller axis,<br />
the width of the ellipse, is known as the minor axis.) These<br />
two features of an ellipse are shown in Figure <strong>26</strong>-2.<br />
SAMPLE PROBLEMS<br />
Problem 1 Calculate the eccentricity of the ellipse in Figure <strong>26</strong>-2.<br />
Solution The distance between the foci of this ellipse is 3 cm. The distance across the<br />
ellipse (the major axis) is 4 cm. The calculation is shown below.<br />
distance between foci<br />
Eccentricity <br />
length of major axis<br />
3 cm<br />
<br />
4 cm<br />
075 .<br />
Figure <strong>26</strong>-2 Eccentricity is<br />
calculated by dividing the<br />
distance between the foci of<br />
an ellipse by the length of<br />
the major axis. Eccentricity<br />
is a ratio without units.<br />
HOW CAN WE DESCRIBE ORBITS? 667<br />
distance between<br />
foci<br />
length of major axis
668 CHAPTER <strong>26</strong>: EARTH AND ITS MOON<br />
Notice that there are no units of eccentricity. Eccentricity is a ratio between<br />
two measured values.<br />
Problem 2 The greatest distance across <strong>Earth</strong>’s orbit is 299,200,000 km. The distance<br />
from the sun to the location in space that is the other focus of <strong>Earth</strong>’s orbit is<br />
5,086,400 km. Calculate the eccentricity of <strong>Earth</strong>’s orbit.<br />
Solution<br />
distance between foci<br />
Eccentricity <br />
length of major axis<br />
5, 086, 400 km<br />
<br />
299, 200, 000 km<br />
0. 017<br />
Notice that the result is a very small number. <strong>Earth</strong>’s orbit is nearly a perfect<br />
circle. That is why the changing distance between <strong>Earth</strong> <strong>and</strong> the sun is not a<br />
significant factor in seasonal changes in temperature on <strong>Earth</strong>.<br />
Problem 3 The greatest distance across Mars’ orbit is 455,800,000 km. The eccentricity<br />
of its orbit is 0.093. What is the approximate distance between the sun <strong>and</strong><br />
the second focus of Mars’ orbit?<br />
Solution The first step is to rearrange the formula to isolate the distance between the<br />
foci. Multiplying both sides of the equation by length of major axis does this.<br />
Eccentricity <br />
distance between foci<br />
length of major axis<br />
The next step is to substitute the values <strong>and</strong> solve for the distance between<br />
the foci:<br />
Length of major axis Eccentricity distance<br />
between foci<br />
455, 800, 000 km 0.093distance between foci<br />
42, 389, 400 km<br />
distance between foci<br />
This value is expressed to a much greater accuracy than the length of the<br />
major axis of the ellipse. So it should be rounded off to 42 million km. (Also<br />
note that the problem asked for the “approximate distance.”)<br />
✓ Practice Problem 1<br />
Calculate the eccentricity of an ellipse in which the distance between the foci<br />
is 15 cm <strong>and</strong> the length of the major axis is 60 cm.
Figure <strong>26</strong>-3 The orbits of<br />
<strong>Earth</strong> <strong>and</strong> the moon look<br />
like circles. Only by carefully<br />
measuring the length <strong>and</strong><br />
width of the orbits, or by<br />
locating the two foci, can<br />
scientists observe that the<br />
orbits of the moon <strong>and</strong><br />
<strong>Earth</strong> are not quite circles.<br />
WHAT DETERMINES A SATELLITE’S S ORBIT? 669<br />
Shapes of ellipses:<br />
Eccentricity = 1<br />
(a line)<br />
f f<br />
Eccentricity = 0.5<br />
f f<br />
Eccentricity = 0<br />
(a circle)<br />
✓ Practice Problem 2<br />
The greatest distance across the moon’s orbit is 772,000 km; the eccentricity<br />
of its orbit is 0.055. How far apart are the foci of the moon’s orbit?<br />
Figure <strong>26</strong>-3 shows the range of shape of ellipses. If the foci<br />
are at the ends of the ellipse, the ellipse will be a line segment<br />
with an eccentricity of 1. If the two foci are located near<br />
the ends of the ellipse, the ellipse looks flattened. A circle is<br />
the special case of ellipse in which the foci are at a single<br />
point. The eccentricity of a circle is 0. When considering the<br />
eccentricity of an ellipse, it may help to remember that just<br />
as the number “1” can be written as a line, an ellipse with an<br />
eccentricity of one is a straight line. Furthermore, just as the<br />
number “0” can be written as a circle, an ellipse with an eccentricity<br />
of zero is a circle.<br />
WHAT DETERMINES A SATELLITE’S S ORBIT?<br />
f<br />
The path that <strong>Earth</strong> takes around the sun is determined by<br />
two factors: inertia <strong>and</strong> gravity. Inertia is the tendency of an<br />
object at rest to remain at rest or an object in motion to move
670 CHAPTER <strong>26</strong>: EARTH AND ITS MOON<br />
Gravity<br />
at a constant speed in a straight line unless acted on by an<br />
unbalanced force. If you roll a heavy ball across a flat, hard<br />
floor, the ball continues in a straight line until some force<br />
causes it to change its speed or its direction. That force could<br />
be friction with the floor causing the ball to slow down. It<br />
could be a force applied by an object or a wall as the ball collides<br />
with it. On the other h<strong>and</strong>, it could be someone pushing<br />
the ball to one side, causing the ball to change direction.<br />
Similarly, an object moving through space will move in a<br />
straight line unless some force causes it change its speed or<br />
its direction.<br />
The moon, planets, <strong>and</strong> other satellites follow curved paths.<br />
This tells you that a force must be acting on them. That force<br />
is gravity. Gravity is the force of attraction between all objects.<br />
If the objects are relatively small, such as your body <strong>and</strong><br />
familiar objects around you, that force is so small you cannot<br />
feel it. Although your body’s mass is small, the mass of <strong>Earth</strong><br />
is very large. Therefore, the force of gravity is quite noticeable.<br />
Weight is the force of attraction between your body <strong>and</strong><br />
<strong>Earth</strong>.<br />
When the mass of either or both objects increases, the<br />
gravitational force between them also increases. Therefore, a<br />
person would weigh more on a more massive planet. Correspondingly,<br />
you would weigh less on Mars or the moon than<br />
you do on <strong>Earth</strong> because these smaller celestial bodies have<br />
less mass than <strong>Earth</strong>.<br />
Gravity also depends on the distance between the centers<br />
of the two objects. People who climb to the top of high mountains<br />
experience a very small but measurable decrease in<br />
their weight. This is because they are moving away from<br />
<strong>Earth</strong>’s center. In fact, the higher a person goes above <strong>Earth</strong>’s<br />
surface, the less the person weighs.<br />
The motion of <strong>Earth</strong> or any celestial object in its elliptical<br />
orbit can be thought of as a combination of two kinds of motion.<br />
The first is straight-line motion under the influence of<br />
inertia. The second is falling motion toward the primary of
Figure <strong>26</strong>-4 The curved motion<br />
of the moon in its orbit is<br />
the result of straight-line motion<br />
caused by inertia, <strong>and</strong><br />
its falling path toward <strong>Earth</strong><br />
caused by gravity.<br />
the satellite under the influence of gravity. The result is a<br />
curved path as shown in Figure <strong>26</strong>-4.<br />
Orbital Energy<br />
WHAT DETERMINES A SATELLITE’S S ORBIT? 671<br />
<strong>Earth</strong><br />
Sun<br />
Straight-line motion (Inertia)<br />
Orbital Motion<br />
(Inertia + Gravity)<br />
Falling<br />
Motion<br />
(Gravity)<br />
The orbital energy that <strong>Earth</strong> has is a combination of kinetic<br />
<strong>and</strong> potential energy. The potential energy is a result of the<br />
distance between <strong>Earth</strong> <strong>and</strong> the sun. Kinetic energy is the<br />
speed of <strong>Earth</strong> in its orbit. The combined energy remains constant<br />
unless it is reduced by friction. However, there is no friction<br />
in space. The balance between the two components of<br />
orbital energy, speed <strong>and</strong> orbital distance, does change. As a<br />
satellite moves farther from its primary, its orbital speed decreases.<br />
As it moves closer, its speed increases. Figure <strong>26</strong>-5 is<br />
Figure <strong>26</strong>-5 In this photograph,<br />
the lunar module<br />
craft is a satellite orbiting<br />
the moon. The moon is a<br />
satellite of <strong>Earth</strong>; <strong>Earth</strong> is a<br />
satellite of the sun.
672 CHAPTER <strong>26</strong>: EARTH AND ITS MOON<br />
a photograph of <strong>Earth</strong> taken from a spacecraft in orbit around<br />
the moon.<br />
Moving in an ellipse, <strong>Earth</strong> changes its distance from the<br />
sun by a small amount. Therefore, <strong>Earth</strong>’s speed in its orbit<br />
changes. In fact, for all planets orbiting the sun, orbital speed<br />
is a function of the distance between the satellite <strong>and</strong> the primary.<br />
<strong>Earth</strong> moves a little faster when it is closer to the sun<br />
<strong>and</strong> slower when it is farther from the sun. <strong>Earth</strong> is closest to<br />
the sun in early January, which is when its orbital speed is<br />
greatest (although the change is relatively small). The moon<br />
also changes speed in its orbit as it moves slightly closer <strong>and</strong><br />
farther from <strong>Earth</strong>.<br />
WHY DOES THE MOON SHOW PHASES?<br />
You have probably noticed that the moon seems to change<br />
its shape in a monthly cycle. The apparent shape of the moon,<br />
which is determined by the pattern of light <strong>and</strong> shadow, is<br />
called the phase of the moon. For example, when the whole<br />
side of the moon facing <strong>Earth</strong> is lighted, we observe the full<br />
moon. The gibbous phase occurs when most of the moon appears<br />
lighted. When half of the moon appears lighted, it is the<br />
quarter moon phase. The crescent phase is a narrow, curved<br />
sliver of light. When the whole part of the moon’s surface seen<br />
from <strong>Earth</strong> is in shadow, it is known as the new moon. The<br />
phase that you see depends on the relative position of the<br />
moon with respect to <strong>Earth</strong> <strong>and</strong> the sun.<br />
Why is there a monthly cycle of moon phases? This cycle<br />
occurs because it takes roughly a month for the moon to orbit<br />
<strong>Earth</strong>. However, the daily rotation of <strong>Earth</strong> makes the<br />
monthly orbiting of the moon more difficult to follow. What<br />
you actually observe is the moon rising <strong>and</strong> setting nearly an<br />
hour later each day. Each day for half its cycle the moon moves<br />
about 13°away from the Sun’s position in the sky. For the<br />
other half of the cycle, the moon moves toward the Sun’s position<br />
in the sky. For this reason, each day or night you see pro-
WHY DOES THE MOON SHOW PHASES? 673<br />
gressively more or less of the moon’s lighted surface (the side<br />
of the moon facing the sun). The cycle of the moon’s phases<br />
1<br />
takes about 292 days. To fit exactly 12 months into a year, the<br />
average calendar month was made a little longer than the full<br />
cycle of moon phases.<br />
In a large, darkened room, a friend can help you demonstrate<br />
these motions. Due to the dangers posed by a bare light<br />
bulb, this should be done under adult supervision. Use a<br />
naked light bulb at a distance from you of at least 2–4 meters<br />
(7–13 feet) to represent the sun. Your head represents <strong>Earth</strong>;<br />
your eyes represent the position of the observer. A ball can<br />
represent the moon. The ball should be much closer to you<br />
than the light bulb (the sun). In the most simple representation,<br />
st<strong>and</strong> in one place (although you can turn your head)<br />
<strong>and</strong> observe the lighted part of the ball as your friend moves<br />
the ball around (orbits) you. You may want to name each<br />
phase as it appears to you. (See Figure <strong>26</strong>-6.)<br />
A more realistic, although complicated, demonstration<br />
would include you, as <strong>Earth</strong>, moving in an orbit around the<br />
sun while you turn (rotate) 365 times in each orbit. Meanwhile,<br />
the moon (the ball held by a friend) needs to move<br />
along with you <strong>and</strong> while orbiting you about 12 times for each<br />
time you orbit the more distant light bulb. As you will see, al-<br />
Figure <strong>26</strong>-6 The central part<br />
of this diagram shows the<br />
moon’s orbit around <strong>Earth</strong> as<br />
viewed from a position high<br />
above the North Pole. The<br />
eight outer circles show how<br />
a person st<strong>and</strong>ing on <strong>Earth</strong>’s<br />
surface would see each<br />
phase.
674 CHAPTER <strong>26</strong>: EARTH AND ITS MOON<br />
though all these motions affect our observations of the <strong>Moon</strong>,<br />
it can be difficult to think about all of them as we observe the<br />
changing phases of the <strong>Moon</strong>.<br />
<strong>Earth</strong>, <strong>Moon</strong>, <strong>and</strong> Sun<br />
Figure <strong>26</strong>-6 on page 673 includes two ways of looking at the<br />
moon in a single diagram. The central part of this diagram<br />
shows the moon orbiting <strong>Earth</strong> as viewed from a point in<br />
space above the North Pole. Notice the arrows showing the<br />
orbital motion of the moon as it revolves around <strong>Earth</strong>. The<br />
straight arrows on the left represent rays of light from the<br />
sun, which is well outside the diagram to the left.<br />
The eight outer circles show how the moon appears at<br />
each position as viewed from <strong>Earth</strong>. Notice that the first<br />
quarter phase at the bottom of the diagram is lit on the left<br />
as viewed from above the orbit (inner circle), but lit on the<br />
right as viewed from <strong>Earth</strong>. To underst<strong>and</strong> why the bottom<br />
diagram is reversed, turn your book around <strong>and</strong> look across<br />
<strong>Earth</strong> to the first quarter phase. Then the figure of the moon<br />
in its orbit will be lit on the right. Remember that the portion<br />
of the moon that is lighted, as well as the side that is lit, depend<br />
on the position of the observer.<br />
<strong>Earth</strong> <strong>and</strong> <strong>Moon</strong><br />
1<br />
The moon takes about 27 3 days to complete one orbit around<br />
1<br />
<strong>Earth</strong>. However, the cycle of moon phases takes about 292<br />
days. The reason it takes longer than one revolution of the<br />
moon to observe a full cycle of phases is shown in Figure <strong>26</strong>-7.<br />
Consider <strong>Earth</strong> <strong>and</strong> the moon to start at position A. They will<br />
1<br />
be at B 273 days later. The moon has moved through one complete<br />
revolution of 360°. However, to get back to the new<br />
moon phase, it must move a little further in its orbit. The reason<br />
the cycle of phases takes longer than one revolution of the<br />
moon is that <strong>Earth</strong> is moving in its orbit around the sun.
WHAT IS AN ECLIPSE?<br />
The moon <strong>and</strong> <strong>Earth</strong> are not transparent. They cast shadows.<br />
Sometimes, the moon’s shadow falls on <strong>Earth</strong>. This may<br />
affect the way we see the sun. At other times, <strong>Earth</strong>’s shadow<br />
falls on the moon. This may affect the way we see the moon.<br />
Solar Eclipses<br />
A<br />
to the sun<br />
<strong>Earth</strong>'s orbit around the sun<br />
WHAT IS ANECLIPSE? 675<br />
1<br />
Figure <strong>26</strong>-7 Consider <strong>Earth</strong> <strong>and</strong> the moon at position A, <strong>and</strong> 27 3 days later at<br />
position B. The moon has made one complete revolution of 360° from A to B, but<br />
the apparent position of the sun has changed. Therefore, the moon must travel<br />
another two days to get back to the new moon phase. (This is a view from above<br />
the South Pole.)<br />
As the moon orbits <strong>Earth</strong>, it sometimes comes between the<br />
sun <strong>and</strong> <strong>Earth</strong>, casting a shadow on <strong>Earth</strong>. When one celestial<br />
object blocks the light of another, an eclipse occurs. If the<br />
shadow is cast on <strong>Earth</strong>’s surface, sunlight is blocked. To a<br />
person on <strong>Earth</strong>, the moon is observed to move in front of the<br />
sun <strong>and</strong> then move away. This is called an eclipse of the sun,<br />
or solar eclipse. If part of the sun is visible throughout the<br />
eclipse, it is called a partial eclipse.<br />
A total eclipse occurs when the sun is completely blocked<br />
from view as the region of full shadow passes over <strong>Earth</strong> as<br />
B<br />
27 days<br />
to the sun
676 CHAPTER <strong>26</strong>: EARTH AND ITS MOON<br />
SUN<br />
<strong>Moon</strong> position<br />
for a solar eclipse<br />
shown in Figure <strong>26</strong>-8. In a total solar eclipse, the sky becomes<br />
much darker than usual <strong>and</strong> some stars may be visible<br />
briefly. A solar eclipse happens only in the new moon phase<br />
when the dark half of the moon faces <strong>Earth</strong>. If a solar eclipse<br />
occurs when the moon is relatively far from <strong>Earth</strong>, the moon<br />
may not be cover the entire sun’s entire disk. In this type of<br />
solar eclipse, the sun may be visible as a ring of light surrounding<br />
the dark moon. (CAUTION: Do not look directly<br />
at the sun.)<br />
Lunar Eclipse<br />
Full Shadow<br />
Partial Shadow<br />
<strong>Moon</strong>'s Orbit<br />
EARTH<br />
<strong>Moon</strong> position<br />
for a lunar eclipse<br />
Figure <strong>26</strong>-8 A solar eclipse<br />
occurs when the moon casts<br />
a shadow on <strong>Earth</strong>’s surface.<br />
A lunar eclipse happens<br />
when the moon passes<br />
through <strong>Earth</strong>’s shadow.<br />
(Like other diagrams in this<br />
chapter, neither object sizes<br />
nor distances are to scale.)<br />
There are also eclipses of the moon, lunar eclipses. An eclipse<br />
of the moon occurs when the moon orbits to a position exactly<br />
opposite the sun. From <strong>Earth</strong>, the moon is seen to move<br />
into <strong>Earth</strong>’s curved shadow. The moon becomes relatively<br />
dark <strong>and</strong> takes on a coppery-red color from a small amount<br />
of light that is refracted through <strong>Earth</strong>’s atmosphere. The<br />
eclipse may continue for an hour or more until the moon<br />
moves out of <strong>Earth</strong>’s shadow. A lunar eclipse can occur only<br />
at the full moon phase because the moon must be on the side<br />
of <strong>Earth</strong> opposite the sun. Figure <strong>26</strong>-8 shows the relative position<br />
of the moon, <strong>Earth</strong>, <strong>and</strong> sun for both solar <strong>and</strong> lunar<br />
eclipses.
Predicting Eclipses<br />
Precise observations of the moon <strong>and</strong> sun over hundreds of<br />
years enable astronomers to predict eclipses with great accuracy.<br />
Lunar <strong>and</strong> solar eclipses occur about once or twice a<br />
year. Lunar eclipses are easier to see because they are visible<br />
to everyone on the night side of <strong>Earth</strong> <strong>and</strong> they may last more<br />
than an hour.<br />
Solar eclipses, however, are usually visible only to people<br />
located along a narrow path across <strong>Earth</strong>’s surface. An eclipse<br />
of the sun usually lasts only a few minutes. If the moon orbits<br />
<strong>Earth</strong> each month, why do you not see eclipses of the sun <strong>and</strong><br />
moon every month? The reason is that the moon’s orbit is<br />
tilted at an angle of about 5° from the plane of <strong>Earth</strong>’s orbit<br />
around the sun as shown in Figure <strong>26</strong>-9. Eclipses occur only<br />
when the moon is in the part of its path where the two orbits<br />
intersect.<br />
ACTIVITY <strong>26</strong>-3 THE NEXT ECLIPSES<br />
WHAT IS ANECLIPSE? 677<br />
Use the Internet to find when the next lunar <strong>and</strong> solar eclipses will<br />
occur. The time is often given in terms of Greenwich Mean Time.<br />
Convert the time of the next lunar eclipse into your local time.<br />
Where will the next solar eclipse be visible? When will the next<br />
solar eclipse be visible in your area?<br />
Figure <strong>26</strong>-9 The moon’s orbit<br />
is inclined about 5° from the<br />
plane of <strong>Earth</strong>’s orbit. Therefore,<br />
the new moon <strong>and</strong> the<br />
full moon are usually above or<br />
below the plane of the sun.<br />
This explains why eclipses<br />
are rare.<br />
Plane of<br />
<strong>Moon</strong>'s orbit<br />
Plane of <strong>Earth</strong>'s orbit
678 CHAPTER <strong>26</strong>: EARTH AND ITS MOON<br />
ACTIVITY <strong>26</strong>-4 MODELING THE MOON’S PHASES<br />
TERMS TO KNOW<br />
St<strong>and</strong> outside in direct sunlight holding a tennis ball. Consider<br />
your head to be <strong>Earth</strong> <strong>and</strong> the tennis ball to be the moon. Move<br />
the tennis ball to each of the eight positions representing the<br />
phases of the moon labeled in Figure <strong>26</strong>-6.<br />
Then move the tennis ball moon to the positions at which<br />
eclipses of the sun <strong>and</strong> moon would occur. If your head represents<br />
<strong>Earth</strong>, is the moon’s size approximately to scale? Is<br />
its distance to scale?<br />
Apparent Size of the Sun <strong>and</strong> <strong>Moon</strong><br />
It is a coincidence that as viewed from <strong>Earth</strong> the moon <strong>and</strong><br />
1<br />
sun are each about 2°<br />
in angular diameter. That is, lines<br />
drawn from your eye to the sides of the sun or moon are about<br />
1<br />
2°<br />
of angle apart. In fact, the sun’s true diameter is about 400<br />
times the diameter of the moon. However, the moon is much<br />
closer to <strong>Earth</strong>. Consequently, the moon <strong>and</strong> sun look about<br />
the same size to us. The distance from <strong>Earth</strong> to each of them<br />
changes slightly. Sometimes the moon looks slightly larger<br />
<strong>and</strong> sometimes the sun looks slightly larger. Usually this<br />
change is not noticeable. However, if a solar eclipse occurs<br />
when the sun is relatively close <strong>and</strong> the moon is relatively far<br />
away, the sun can be seen as a ring of light surrounding the<br />
dark moon. This is called an annular solar eclipse.<br />
ellipse gravity phase weight<br />
focus inertia satellite
CHAPTER REVIEW QUESTIONS<br />
1. Astronauts have recovered basalt <strong>and</strong> other igneous rocks from the surface<br />
of the moon. What does this tell us about the history of the moon?<br />
(1) The moon was once a part of <strong>Earth</strong>.<br />
(2) At least part of the moon was once molten rock.<br />
(3) The moon has a weak magnetic field.<br />
(4) The age of the moon is greater than the age of <strong>Earth</strong>.<br />
The table below provides information about the moon based on current scientific<br />
theories. Use this information to answer questions 2 <strong>and</strong> 3.<br />
Information About the <strong>Moon</strong><br />
Subject Current Scientific Theory<br />
.<br />
Origin of the moon Formed from material thrown from a still-liquid <strong>Earth</strong> following the<br />
impact of a giant object 4.5 billion years ago<br />
Craters Largest craters resulted from an intense bombardment by rock<br />
objects around 3.9 billion years ago<br />
Presence of water Mostly dry, but water brought in by the impact of comets may be<br />
trapped in very cold places at the poles<br />
Age of rocks in terrae highl<strong>and</strong>s Most are older than 4.1 billion years; highl<strong>and</strong> anorthosites (igneous<br />
rocks composed almost totally of feldspar) are dated to 4.4 billion<br />
years<br />
Age of rocks in maria plains Varies widely from 2 billion to 4.3 billion years<br />
Composition of terrae highl<strong>and</strong>s Wide variety of rock types, but all contain more aluminum than rocks<br />
of maria plains<br />
Composition of maria plains Wide variety of basalts<br />
Composition of mantle Varying amounts of mostly olivine <strong>and</strong> pyroxene<br />
2. Which statement is best supported by information in the table above?<br />
(1) The moon was once a comet.<br />
(2) The moon once had saltwater oceans.<br />
(3) <strong>Earth</strong> is 4.5 billion years older than the moon.<br />
(4) <strong>Earth</strong> was molten rock when the moon was formed.<br />
CHAPTER REVIEW QUESTIONS 679
680 CHAPTER <strong>26</strong>: EARTH AND ITS MOON<br />
3. Which moon feature is an impact structure?<br />
(1) crater (3) terrae (highl<strong>and</strong>s)<br />
(2) maria (seas) (4) mantle<br />
The diagram below represents the orbit of a planet traveling around a star.<br />
A<br />
Direction<br />
of<br />
movement<br />
Star<br />
D<br />
Foci<br />
B<br />
(Drawn to scale)<br />
4. The calculated eccentricity of this orbit is approximately<br />
(1) 0.01 (3) 5<br />
(2) 0.2 (4) 12.8<br />
5. At which position of the planet will the gravitational attraction between<br />
the star <strong>and</strong> the planet be greatest?<br />
(1) A (3) C<br />
(2) B (4) D<br />
6. As the planet revolves in orbit from position A to position D, the orbital velocity<br />
will<br />
(1) continually decrease.<br />
(2) continually increase.<br />
(3) decrease, then increase.<br />
(4) increase, then decrease.<br />
7. Because of the elliptical shape of the moon’s orbit, the distance between<br />
<strong>Earth</strong> <strong>and</strong> the moon changes. Which of the following is a direct result of<br />
changes in the distance between <strong>Earth</strong> <strong>and</strong> the moon?<br />
(1) the cycle of phases of the moon<br />
(2) changes in the mass of the moon<br />
C
(3) changes in the force of gravity between <strong>Earth</strong> <strong>and</strong> the moon<br />
(4) the cycle of seasons that occur on <strong>Earth</strong><br />
8. Venus <strong>and</strong> Mercury are the only planets in our solar system that show a<br />
full range of phases, like <strong>Earth</strong>’s moon. Where must Venus be located if we<br />
could see its surface in darkness like the new moon phase?<br />
(1) Venus must be located outside <strong>Earth</strong>’s orbit.<br />
(2) Venus must be at right angles to the sun.<br />
(3) Venus must be located between the <strong>Earth</strong> <strong>and</strong> sun.<br />
(4) Venus must be on the side of the sun opposite <strong>Earth</strong>.<br />
9. A cycle of moon phases can be seen from <strong>Earth</strong> because the<br />
(1) moon’s distance from <strong>Earth</strong> changes at a predictable rate.<br />
(2) moon’s axis is tilted.<br />
(3) moon spins on its axis.<br />
(4) moon revolves around <strong>Earth</strong>.<br />
The diagram below shows the moon orbiting <strong>Earth</strong> as viewed from space above<br />
the North Pole. Use this diagram to answer questions 10, 11, <strong>and</strong> 12.<br />
<strong>Moon</strong>'s orbit<br />
4<br />
3<br />
<strong>Earth</strong><br />
North Pole<br />
5 1<br />
6<br />
7<br />
(Not drawn to scale)<br />
2<br />
8<br />
Sun's<br />
rays<br />
10. What is the approximate length of time for one complete cycle of the<br />
moon’s phases?<br />
(1) one day (3) one month<br />
(2) one week (4) one year<br />
CHAPTER REVIEW QUESTIONS 681
682 CHAPTER <strong>26</strong>: EARTH AND ITS MOON<br />
11. An observer on <strong>Earth</strong> views the moon as the moon revolves from position<br />
1 to 5 <strong>and</strong> back to position 1. How will the lighted portion of the moon’s<br />
surface change as she sees it over this period?<br />
(1) The lighted portion of the moon’s surface will increase.<br />
(2) The lighted portion of the moon’s surface will decrease.<br />
(3) The lighted portion of the moon’s surface will increase <strong>and</strong> then decrease.<br />
(4) The lighted portion of the moon’s surface will decrease <strong>and</strong> then increase.<br />
12. At which two positions of the moon is an eclipse of the sun or moon possible?<br />
(1) 1 <strong>and</strong> 5 (3) 3 <strong>and</strong> 7<br />
(2) 2 <strong>and</strong> 6 (4) 4 <strong>and</strong> 8<br />
The graph below shows the maximum altitude of the moon, measured by an<br />
observer at latitude of 43° north during the month of June in a particular year.<br />
The names <strong>and</strong> appearances of four moon phases are shown at the top of the<br />
graph, directly above the date on which each phase occurred. Use this diagram<br />
to answer questions 13–15.<br />
<strong>Moon</strong>'s Maximum Altitude Above<br />
the Horizon (degrees)<br />
New<br />
<strong>Moon</strong><br />
80<br />
70<br />
60<br />
50<br />
40<br />
30<br />
2<br />
20<br />
4 6<br />
First<br />
Quarter<br />
Full<br />
<strong>Moon</strong><br />
Last<br />
Quarter<br />
New<br />
<strong>Moon</strong><br />
8 10 12 14 16 18 20 22 24 <strong>26</strong> 28 30<br />
June Date<br />
13. What is the maximum altitude of the moon on June 22?<br />
(1) 40° (3) 46°<br />
(2) 43° (4) 50°
14. Which diagram best represents the moon’s phase on June 11?<br />
(1)<br />
15. Which terms best describe both the changes in maximum altitude of the<br />
moon <strong>and</strong> changes in the moon’s phases over a period of several years?<br />
(1) cyclic <strong>and</strong> predictable (3) noncyclic <strong>and</strong> predictable<br />
(2) cyclic <strong>and</strong> unpredictable (4) noncyclic <strong>and</strong> unpredictable<br />
Open-Ended Questions<br />
16. Unlike <strong>Earth</strong>, the moon has no atmosphere. Yet, the volcanic processes<br />
that released gases to make an atmosphere occurred on the moon as they<br />
did on <strong>Earth</strong>. Why did <strong>Earth</strong> keep its atmosphere, but the moon did not?<br />
17. <strong>Earth</strong> is not at the center of the moon’s orbit. Describe the exact position<br />
of the <strong>Earth</strong> in the orbit of the moon.<br />
1<br />
18. A person on the moon would weigh only about 6 as much as his weight on<br />
<strong>Earth</strong>. Why is the weight of objects on the moon so much less than their<br />
weight on <strong>Earth</strong>?<br />
19. The diagram below represents the sun <strong>and</strong> <strong>Earth</strong> viewed from space on a<br />
certain date. Please do not write in this book. On a copy of the diagram,<br />
draw a circle approximately 0.5 cm in diameter to show the position of the<br />
moon when it is in the full moon phase as observed from <strong>Earth</strong>.<br />
Sun<br />
(2)<br />
Sun's<br />
rays<br />
(3)<br />
(Not drawn to scale)<br />
North<br />
Pole<br />
<strong>Earth</strong><br />
(4)<br />
CHAPTER REVIEW QUESTIONS 683
684 CHAPTER <strong>26</strong>: EARTH AND ITS MOON<br />
The diagram below is an exaggerated model of <strong>Earth</strong>’s orbit. <strong>Earth</strong> is closest<br />
to the sun at perihelion <strong>and</strong> farthest from the sun at aphelion.<br />
<strong>Earth</strong><br />
at<br />
perihelion<br />
N<br />
S<br />
Sun<br />
(Not drawn to scale)<br />
20. a. State the actual geometric shape of <strong>Earth</strong>’s orbit.<br />
b. Identify the season in the Northern Hemisphere when <strong>Earth</strong> is at perihelion.<br />
c. Describe the change that takes place in the apparent size of the sun, as<br />
viewed from <strong>Earth</strong>, as <strong>Earth</strong> moves from perihelion to aphelion.<br />
d. State the relationship between <strong>Earth</strong>’s distance from the sun <strong>and</strong><br />
<strong>Earth</strong>’s orbital velocity.<br />
N<br />
S<br />
<strong>Earth</strong><br />
at<br />
aphelion