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The Motion of the Moon The Moon The Earth, Sun, and Time of Day

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Astronomy 310 (Newbury)<br />

May 15, 2007<br />

<strong>The</strong> <strong>Motion</strong><br />

<strong>of</strong> <strong>the</strong> <strong>Moon</strong><br />

Section 1.6<br />

<strong>The</strong> <strong>Moon</strong><br />

<strong>Earth</strong> has one natural satellite, <strong>the</strong> <strong>Moon</strong>.<br />

It orbits <strong>the</strong> <strong>Earth</strong> about once a moonth at<br />

a distance <strong>of</strong> 384 000 km. <strong>The</strong> <strong>Moon</strong>’s<br />

diameter is 3476 km or 0.27 D E (<strong>Earth</strong><br />

diameters).<br />

As <strong>the</strong> <strong>Moon</strong> orbits <strong>the</strong> <strong>Earth</strong>, it appears<br />

to change shape as it goes through<br />

phases. <strong>The</strong> cause <strong>of</strong> <strong>the</strong> phases is one<br />

<strong>of</strong> <strong>the</strong> greatest misconceptions in<br />

astronomy. Many people feel <strong>Earth</strong>’s<br />

shadow is responsible, but that is<br />

Mars Global Surveyor (2003)<br />

incorrect.<br />

139 million km from <strong>Earth</strong>, 1 billion km from Jupiter<br />

2<br />

sunlight<br />

<strong>The</strong> <strong>Earth</strong>, <strong>Sun</strong>, <strong>and</strong> <strong>Time</strong> <strong>of</strong> <strong>Day</strong><br />

This diagram<br />

explains<br />

_________…<br />

…but it’s a bit<br />

complicated.<br />

Let’s take it<br />

_______ at a<br />

time…<br />

3<br />

<strong>The</strong> <strong>Sun</strong> is directly<br />

overhead: it’s ____ here.<br />

<strong>The</strong> <strong>Sun</strong> is on <strong>the</strong><br />

Western horizon: it’s<br />

sunset (6:00 p.m.) here.<br />

sunlight<br />

Imagine you are<br />

floating in space high<br />

above <strong>the</strong> North Pole,<br />

looking back down at<br />

<strong>the</strong> _____. <strong>The</strong> <strong>Sun</strong> is<br />

illuminating one side<br />

<strong>of</strong> <strong>the</strong> <strong>Earth</strong>.<br />

<strong>The</strong> <strong>Sun</strong> is directly beneath<br />

your feet: it’s midnight here.<br />

<strong>The</strong> <strong>Sun</strong> is on <strong>the</strong><br />

Eastern horizon: it’s<br />

4<br />

______ (6:00 a.m.) here.<br />

1


Astronomy 310 (Newbury)<br />

May 15, 2007<br />

<strong>The</strong> Orbiting <strong>Moon</strong><br />

<strong>Moon</strong> Phases<br />

one side<br />

dark<br />

sunlight<br />

one side lit<br />

by sunlight<br />

<strong>Moon</strong><br />

<strong>The</strong> <strong>Moon</strong> orbits<br />

around <strong>the</strong> <strong>Earth</strong><br />

every ______days.<br />

<strong>The</strong> <strong>Sun</strong> always<br />

illuminates one<br />

side <strong>of</strong> <strong>the</strong> <strong>Moon</strong>,<br />

<strong>the</strong> side towards<br />

<strong>the</strong> <strong>Sun</strong>, no matter<br />

where <strong>the</strong> <strong>Moon</strong> is<br />

in ________.<br />

<strong>The</strong> big question is, what does <strong>the</strong> <strong>Moon</strong> look like<br />

_____________ throughout <strong>the</strong> orbit<br />

<strong>The</strong> key point is realizing we do not always see <strong>the</strong><br />

________ <strong>of</strong> <strong>the</strong> <strong>Moon</strong>. <strong>The</strong> amount <strong>of</strong> <strong>the</strong> sunlit half<br />

we see depends on where <strong>the</strong> <strong>Moon</strong> is in it’s orbit.<br />

see all dark,<br />

sliver <strong>of</strong> lit<br />

sunlight<br />

5<br />

We see <strong>the</strong> new <strong>Moon</strong> during <strong>the</strong> day (but not ______).<br />

6<br />

Waxing Crescent<br />

<strong>Earth</strong>shine<br />

see mostly dark<br />

but some<br />

lit, too<br />

sunlight<br />

Sometime <strong>the</strong>re is so much light reflected back <strong>of</strong>f <strong>the</strong><br />

______ <strong>and</strong> on <strong>the</strong> <strong>Moon</strong> that we can see <strong>the</strong> “_____”<br />

portion <strong>of</strong> <strong>the</strong> <strong>Moon</strong>. We call this <strong>Earth</strong>shine.<br />

One ______ <strong>of</strong> <strong>the</strong> way through <strong>the</strong> cycle (3 – 4 days)<br />

we see a crescent <strong>Moon</strong> (in <strong>the</strong> evening). <strong>The</strong><br />

crescent “points” towards <strong>the</strong> <strong>Sun</strong>. <strong>The</strong> crescent is<br />

______ every day, so it’s called <strong>the</strong> waxing crescent.<br />

7<br />

Rychlik<br />

8<br />

2


Astronomy 310 (Newbury)<br />

May 15, 2007<br />

First Quarter<br />

Surface <strong>of</strong> <strong>the</strong> <strong>Moon</strong><br />

half<br />

dark<br />

half<br />

lit<br />

sunlight<br />

One quarter <strong>of</strong> <strong>the</strong> way through <strong>the</strong> cycle (_____) we<br />

see half <strong>the</strong> <strong>Moon</strong> lit (<strong>and</strong> half dark). We still call it<br />

<strong>the</strong> first ______ <strong>Moon</strong>, though, because <strong>of</strong> its position<br />

in <strong>the</strong> lunar cycle.<br />

9<br />

<strong>The</strong> <strong>Moon</strong> has no atmosphere to scatter <strong>and</strong> bend <strong>the</strong><br />

sunlight, like we do here on <strong>Earth</strong>. So, when <strong>the</strong> <strong>Sun</strong><br />

sets or you’re in a shadow (on <strong>the</strong> <strong>Moon</strong>) it’s ______<br />

______. And when <strong>the</strong> <strong>Sun</strong> is visible, it’s as bright as<br />

<strong>the</strong> middle <strong>of</strong> <strong>the</strong> day.<br />

<strong>The</strong> line between night <strong>and</strong> day on<br />

<strong>the</strong> <strong>Moon</strong> is called <strong>the</strong> __________.<br />

Using binoculars or a telescope, you<br />

can clearly see <strong>the</strong> surface <strong>of</strong> <strong>the</strong><br />

<strong>Moon</strong> is not smooth, but that it’s<br />

covered in craters. Around first<br />

quarter is <strong>the</strong> _____ time for looking. Lammel<br />

10<br />

Waxing Gibbous<br />

Full <strong>Moon</strong><br />

but mostly lit<br />

sunlight<br />

<strong>Moon</strong> all lit<br />

sunlight<br />

some<br />

dark<br />

About 10 days into <strong>the</strong> lunar cycle, <strong>the</strong> ______ side <strong>of</strong><br />

<strong>the</strong> <strong>Moon</strong> is still growing. It’s called a waxing gibbous<br />

(“________” means “humped” or “bulging”).<br />

11<br />

can’t see any<br />

<strong>of</strong> <strong>the</strong> dark side<br />

________ through <strong>the</strong> cycle (2 weeks) <strong>the</strong> <strong>Moon</strong> is full.<br />

You only see <strong>the</strong> full <strong>Moon</strong> from <strong>the</strong> night-side <strong>of</strong> <strong>Earth</strong><br />

(it rises in <strong>the</strong> East at sunset <strong>and</strong> sets in <strong>the</strong> West at<br />

sunrise.)<br />

Wait a minute! Won’t <strong>the</strong> <strong>Earth</strong> ______ <strong>the</strong> sunlight<br />

No, not every lunar cycle. We’ll discuss lunar ______<br />

12<br />

in <strong>the</strong> next section…<br />

3


Astronomy 310 (Newbury)<br />

May 15, 2007<br />

Waxing Gibbous<br />

Third Quarter<br />

sunlight<br />

some<br />

dark<br />

one side<br />

mostly lit<br />

sunlight<br />

one<br />

half<br />

dark<br />

one<br />

half lit<br />

After <strong>the</strong> Full moon, <strong>the</strong> sunlit portion <strong>of</strong> <strong>the</strong> <strong>Moon</strong><br />

begins to get smaller (begins to “_______”). It’s still<br />

gibbous, so we see <strong>the</strong> waning gibbous <strong>Moon</strong> early in<br />

<strong>the</strong> _________.<br />

13<br />

Three quarters <strong>of</strong> <strong>the</strong> way through <strong>the</strong> cycle, about 3<br />

weeks, we see <strong>the</strong> ________ half <strong>the</strong> <strong>Moon</strong> lit <strong>and</strong> <strong>the</strong><br />

o<strong>the</strong>r half _______. This is <strong>the</strong> third quarter <strong>Moon</strong>.<br />

14<br />

Waning Crescent<br />

New <strong>Moon</strong>, Again<br />

After 29.5 days, <strong>the</strong> ______ starts over again…<br />

mostly dark<br />

a bit<br />

lit, too<br />

sunlight<br />

new <strong>Moon</strong><br />

very young<br />

<strong>Moon</strong><br />

Near <strong>the</strong> end <strong>of</strong> <strong>the</strong> lunar cycle, we see only a<br />

_______ (pointing towards <strong>the</strong> <strong>Sun</strong>). <strong>The</strong> crescent is<br />

getting smaller each day, giving a waning crescent<br />

<strong>Moon</strong>. We see it in <strong>the</strong> morning – just before ______<br />

is best.<br />

15<br />

very end<br />

<strong>of</strong> cycle<br />

16<br />

4


Astronomy 310 (Newbury)<br />

May 15, 2007<br />

sunlight<br />

See how<br />

easy it is<br />

now _____!<br />

Eclipses<br />

<strong>The</strong>re is a lot<br />

<strong>of</strong> information<br />

_____ inside<br />

this diagram!<br />

17<br />

APOD 2006 April 4<br />

APOD 2006 April 4<br />

Recall <strong>the</strong> Full <strong>Moon</strong>…<br />

Eclipses<br />

sunlight<br />

Eclipses <strong>of</strong> <strong>the</strong> <strong>Sun</strong> <strong>and</strong> <strong>Moon</strong> are (<strong>the</strong> most)<br />

spectacular astronomical events. Solar eclipses, as<br />

we’ll see shortly, are difficult to see, so if you’ve ever<br />

seen a total solar eclipse, you are _____________.<br />

Recall that when <strong>the</strong> <strong>Moon</strong> on <strong>the</strong> side <strong>of</strong> <strong>the</strong> <strong>Earth</strong><br />

__________ <strong>the</strong> <strong>Sun</strong>, we see a full <strong>Moon</strong>.<br />

An obvious question is, doesn’t <strong>the</strong> <strong>Earth</strong> ________<br />

________ <strong>The</strong> answer is yes, sometimes, but not<br />

every lunar cycle. Eclipses require special alignment.<br />

19<br />

solar eclipse (August 1999)<br />

APOD 2006 March 30<br />

A solar eclipse occurs when<br />

<strong>the</strong> <strong>Earth</strong> passes into <strong>the</strong><br />

________ <strong>of</strong> <strong>the</strong> <strong>Moon</strong>. <strong>The</strong><br />

<strong>Moon</strong> blocks <strong>the</strong> <strong>Sun</strong>, as<br />

seen from <strong>Earth</strong>. It happens<br />

only when <strong>the</strong> ______, <strong>Moon</strong><br />

<strong>and</strong> <strong>Earth</strong> are aligned.<br />

20<br />

5


Astronomy 310 (Newbury)<br />

May 15, 2007<br />

Eclipses<br />

Lunar Eclipses<br />

A ______ eclipse occurs when<br />

<strong>the</strong> <strong>Moon</strong> passes into <strong>the</strong><br />

<strong>Earth</strong>’s shadow. <strong>Earth</strong> ______<br />

<strong>the</strong> sunlight that is supposed to<br />

produce a full <strong>Moon</strong>. It<br />

requires alignment <strong>of</strong> <strong>the</strong> <strong>Sun</strong>,<br />

<strong>Earth</strong> <strong>and</strong> <strong>Moon</strong>.<br />

Did you notice <strong>the</strong> ________<br />

An eclipse is named after…<br />

<strong>the</strong> object<br />

being blocked<br />

lunar eclipse (November 2003)<br />

APOD 2003 November 21<br />

<strong>the</strong> object doing<br />

It seems like <strong>the</strong>re should be a lunar eclipse ______<br />

_______ when <strong>the</strong> <strong>Moon</strong> is full. This doesn’t happen,<br />

though, because <strong>the</strong> <strong>Moon</strong>’s orbit is ____ about 5°<br />

from <strong>the</strong> plane <strong>of</strong> <strong>the</strong> Solar System.<br />

Because <strong>of</strong> <strong>the</strong><br />

tilt, sometimes <strong>the</strong><br />

<strong>Moon</strong> is above<br />

<strong>the</strong> ecliptic <strong>and</strong><br />

sometimes it’s<br />

below <strong>the</strong> ecliptic.<br />

Eclipses are not<br />

<strong>the</strong> blocking 21<br />

________.<br />

22<br />

Line <strong>of</strong> Nodes<br />

Lunar Eclipse Y or N<br />

Notice <strong>the</strong>re are<br />

two points on <strong>the</strong><br />

<strong>Moon</strong>’s orbit where<br />

it _____________<br />

<strong>the</strong> plane. <strong>The</strong>se<br />

points are on <strong>the</strong><br />

line <strong>of</strong> nodes.<br />

In order for a lunar eclipse to occur, <strong>the</strong> ___________<br />

must be on <strong>the</strong> line <strong>of</strong> nodes at exactly <strong>the</strong> same time<br />

<strong>the</strong> <strong>Earth</strong> is in <strong>the</strong> right place in it’s orbit that <strong>the</strong> line <strong>of</strong><br />

nodes points towards __________:<br />

23<br />

24<br />

6


Astronomy 310 (Newbury)<br />

May 15, 2007<br />

Three Types <strong>of</strong> Lunar Eclipses<br />

<strong>The</strong> <strong>Earth</strong>’s Shadow<br />

It requires amazing alignment <strong>of</strong> <strong>the</strong> <strong>Sun</strong>, <strong>Earth</strong> <strong>and</strong><br />

<strong>Moon</strong> to produce a lunar eclipse. It doesn’t have to<br />

be ______________, though, because <strong>the</strong> <strong>Sun</strong>, <strong>Earth</strong><br />

<strong>and</strong> <strong>Moon</strong> are not infinitely small points. <strong>The</strong>y have<br />

some size, so <strong>the</strong>re is a some “leeway” for almost<br />

perfect alignment.<br />

This leeway means <strong>the</strong>re are _______ lunar eclipses<br />

each year. Depending on how ____ <strong>the</strong> alignment is,<br />

three different kinds <strong>of</strong> lunar eclipses can occur…<br />

25<br />

First, ________ <strong>the</strong><br />

shape <strong>of</strong> <strong>the</strong> <strong>Earth</strong>’s<br />

shadow:<br />

Pogge<br />

(Ohio State)<br />

<strong>The</strong> region behind <strong>Earth</strong> that receives __________ is<br />

called <strong>the</strong> umbra (“umbra” means “shadow”, as in<br />

“umbrella”). Because <strong>the</strong> <strong>Sun</strong> is so huge, <strong>the</strong>re are<br />

regions that get some sunlight, but not all <strong>of</strong> it. This is<br />

<strong>the</strong> penumbra (<strong>the</strong> prefix “pen-” means “almost”, as in<br />

__________, an “almost isl<strong>and</strong>”)<br />

26<br />

If <strong>the</strong> full <strong>Moon</strong><br />

passes only<br />

through <strong>the</strong><br />

penumbra, it is only<br />

partially blocked.<br />

Penumbra Lunar Eclipse<br />

If <strong>the</strong> __________<br />

passes through <strong>the</strong><br />

umbra, it is totally<br />

blocked, producing<br />

a ___ lunar eclipse<br />

Total Lunar Eclipse<br />

<strong>The</strong>re may still be a significant amount <strong>of</strong> _________<br />

hitting <strong>the</strong> <strong>Moon</strong>. Sometimes, you ______________ a<br />

penumbral lunar eclipse is happening.<br />

27<br />

28<br />

7


Astronomy 310 (Newbury)<br />

May 15, 2007<br />

Why is <strong>the</strong> lunar eclipse red<br />

<strong>The</strong> <strong>Moon</strong> may be directly behind <strong>the</strong> <strong>Earth</strong>, but it is<br />

not completely dark because <strong>the</strong> <strong>Earth</strong>’s __________<br />

bends <strong>the</strong> sunlight onto <strong>the</strong> <strong>Moon</strong>: refraction<br />

Sure, but why is it ___ <strong>The</strong> <strong>Earth</strong>’s atmosphere also<br />

scatters away shorter wavelength light (blue) leaving<br />

<strong>the</strong> _____ wavelengths (red) to travel on to <strong>the</strong> <strong>Moon</strong>.<br />

red <strong>and</strong> blue mixed<br />

blue<br />

red<br />

Next Lunar Eclipse<br />

<strong>The</strong> length <strong>of</strong> time <strong>the</strong> <strong>Moon</strong> spends eclipsed by <strong>the</strong><br />

<strong>Earth</strong> depends on its _____through <strong>the</strong> umbra. It can<br />

last for up to 1:47 hours.<br />

<strong>The</strong> next total lunar<br />

eclipse is on August 28.<br />

We should be able to<br />

______ <strong>the</strong> whole event<br />

from here in Vancouver.<br />

This is a long-exposure picture that shows <strong>the</strong><br />

fainter, redder light during <strong>the</strong> eclipse.<br />

29<br />

Espenak (Mr. Eclipse)<br />

30<br />

If <strong>the</strong> full <strong>Moon</strong><br />

passes partly<br />

through <strong>the</strong> umbra,<br />

it is only ________<br />

blocked.<br />

Partial Lunar Eclipse<br />

<strong>The</strong> portion <strong>of</strong> <strong>the</strong> <strong>Moon</strong> in <strong>the</strong> umbra may turn quite<br />

dark (or red). <strong>The</strong> portion only in <strong>the</strong> penumbra may<br />

still be _____, though, producing a partial lunar eclipse.<br />

How Good is <strong>the</strong> Alignment, Anyway<br />

Imagine making a scale model <strong>of</strong> a lunar eclipse.<br />

<strong>The</strong> important quantities are:<br />

Quantity<br />

Length (km) Scale to <strong>Moon</strong> pinky fingernail<br />

<strong>Moon</strong> diameter<br />

3475 1<br />

1 cm<br />

<strong>Earth</strong> diameter<br />

12 756 3.67 3.67 cm<br />

<strong>Sun</strong> diameter 1 392 530 400.7 400 cm (____)<br />

<strong>Earth</strong>-<strong>Moon</strong> distance 384 400 110.6 111 cm (1.1 m)<br />

<strong>Earth</strong>-<strong>Sun</strong> distance 149 600 000 43 050 __________<br />

(______ m)<br />

1 392 530<br />

= 400.7<br />

3475<br />

31<br />

32<br />

8


Astronomy 310 (Newbury)<br />

May 15, 2007<br />

How Good is <strong>the</strong> Alignment, Anyway<br />

Quantity<br />

Scale to <strong>Moon</strong> head <strong>of</strong> a pin<br />

<strong>Moon</strong> diameter<br />

1<br />

1 mm<br />

<strong>Earth</strong> diameter 3.67 3.67 mm<br />

<strong>Sun</strong> diameter 400.7 400 mm (40 cm)<br />

<strong>Earth</strong>-<strong>Moon</strong> distance 110.6 111 mm (1.1 cm)<br />

<strong>Earth</strong>-<strong>Sun</strong> distance 43 050 43 050 mm<br />

(43 m)<br />

model<br />

Hold <strong>the</strong> head <strong>of</strong> <strong>the</strong> pin 1.1 cm from <strong>the</strong> head <strong>of</strong> <strong>the</strong><br />

quilt pin. Hold <strong>the</strong>m so <strong>the</strong>y line up with <strong>the</strong> <strong>Sun</strong><br />

circle across/down <strong>the</strong> hall!<br />

Question<br />

How good is <strong>the</strong> alignment, anyway<br />

unbelievable!<br />

I can’t believe it<br />

ever happens!<br />

no wonder lunar<br />

eclipses are rare!<br />

Geez, I couldn’t<br />

even do it!<br />

33<br />

34<br />

Solar Eclipses<br />

<strong>The</strong> <strong>Moon</strong>’s Shadow<br />

Lunar eclipses occur when <strong>the</strong> <strong>Moon</strong> passes into <strong>the</strong><br />

shadow <strong>of</strong> <strong>the</strong> <strong>Earth</strong>. _____ eclipses occur when <strong>the</strong><br />

______ passes into <strong>the</strong> shadow <strong>of</strong> <strong>the</strong> <strong>Moon</strong>.<br />

solar corona<br />

prominences<br />

(Espenak)<br />

By remarkable chance,<br />

<strong>the</strong> <strong>Moon</strong> is just <strong>the</strong><br />

right size <strong>and</strong> distance<br />

from <strong>the</strong> <strong>Sun</strong> to almost<br />

perfectly block out <strong>the</strong><br />

<strong>Sun</strong>’s disk, revealing<br />

features normally<br />

________ in <strong>the</strong><br />

brightness <strong>of</strong> <strong>the</strong> <strong>Sun</strong>.<br />

35<br />

<strong>The</strong> shadow <strong>of</strong> <strong>the</strong> <strong>Moon</strong> also has a umbra <strong>and</strong><br />

penumbra region. <strong>The</strong> “tip” <strong>of</strong> <strong>the</strong> umbra just barely<br />

________________ <strong>of</strong><br />

<strong>the</strong> <strong>Earth</strong>, “painting” a<br />

dark circle on <strong>the</strong><br />

ground that races along<br />

<strong>the</strong> __________at over<br />

1700 km/h. A solar<br />

eclipse never lasts<br />

longer than 7½ minutes<br />

at any location (<strong>and</strong><br />

usually it’s a lot less!)<br />

36<br />

9


Astronomy 310 (Newbury)<br />

May 15, 2007<br />

Three Types <strong>of</strong> Solar Eclipse<br />

Partial Solar Eclipse<br />

If you’re at <strong>the</strong> right place on <strong>Earth</strong> at <strong>the</strong> right _____,<br />

<strong>the</strong> shadow <strong>of</strong> <strong>the</strong> <strong>Moon</strong> will pass over you.<br />

<strong>Sun</strong> moves across <strong>the</strong> sky<br />

<strong>Moon</strong> crosses<br />

in front <strong>of</strong> <strong>the</strong> <strong>Sun</strong><br />

totality<br />

APOD 2006 April 4<br />

Over several hours, you see a larger <strong>and</strong> larger piece<br />

<strong>of</strong> <strong>the</strong> <strong>Sun</strong> “_______.” It gets darker <strong>and</strong> darker. During<br />

a total solar eclipse, _______ (when <strong>the</strong> <strong>Sun</strong> is hidden)<br />

last only a few minutes at your location.<br />

37<br />

APOD 2002 June 12<br />

If you are ___ on <strong>the</strong><br />

eclipse path, you<br />

might only be in <strong>the</strong><br />

path <strong>of</strong> <strong>the</strong> <strong>Moon</strong>’s<br />

__________. You’ll<br />

see a partial solar<br />

eclipse, instead.<br />

38<br />

Annular Solar Eclipse<br />

Next Solar Eclipse<br />

<strong>The</strong> <strong>Earth</strong>–<strong>Moon</strong> ________<br />

changes slightly. If a total<br />

solar eclipse occurs when<br />

<strong>the</strong> <strong>Moon</strong> is _____ from <strong>the</strong><br />

<strong>Earth</strong>, <strong>the</strong> disk <strong>of</strong> <strong>the</strong> <strong>Moon</strong><br />

might not cover <strong>the</strong> <strong>Sun</strong>,<br />

producing an annular solar<br />

eclipse (an “annulus” is a<br />

“_____”)<br />

39<br />

<strong>The</strong>re is a solar eclipse<br />

on Sep 11, 2007 (solar<br />

<strong>and</strong> lunar eclipses almost<br />

always happen during <strong>the</strong><br />

_______________, when<br />

<strong>the</strong> line <strong>of</strong> nodes points<br />

towards <strong>the</strong> <strong>Sun</strong>.)<br />

It’s a partial solar eclipse<br />

(<strong>the</strong> <strong>Moon</strong>’s umbra<br />

almost misses <strong>Earth</strong><br />

entirely!) that we ______<br />

see from BC.<br />

eclipse<br />

path<br />

40<br />

10

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