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Data collection, transmission, and analysis are of primary importance to astronomers. The develop- ment of photomultiplier tubes and charged cou- pled devices (CCDs) provides astronomers with an efficient means of collecting data in a digital form, transmitting it via radio, and analyzing it by com- puter processing. CCDs, for example, convert pho- tons falling on their light sensitive elements into electric signals that are assigned numeric values rep- resenting their strength. Spacecraft subsystems con- Space-Based Astronomy Activity Guide for Science, Mathematics, and Technology Education 71 UNIT 4 DOWN TO EARTH Introduction Although astronomers who work with ground-based telescopes have to deal with bad weather and atmospheric filtering, they do have one advantage over astronomers work- ing with instruments in space. The ground-based astronomers can work directly with their instruments. That means that they can constantly check and adjust their instruments first-hand. Astronomers working with satellite-based instruments must do everything remotely. With the exception of telescopes mounted in the Space Shuttle’s payload bay, astronomers can only interact with their instruments via radio transmissions. That means that the instruments have to be mounted on a satellite that provides radio receivers and transmitters, electric power, pointing control, data storage, and a variety of computer-run subsystems.

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Page 1: UNIT 4 DOWN TO EARTH - TeacherLINKteacherlink.ed.usu.edu/tlnasa/units/SpaceBasedAstronomy/8.pdf · satellites to its destination. ... Cut out slot * Space Based Atronomy.b/w 2/28/01

Data collection, transmission, and analysis are ofprimary importance to astronomers. The develop-ment of photomultiplier tubes and charged cou-pled devices (CCDs) provides astronomers with anefficient means of collecting data in a digital form,

transmitting it via radio, and analyzing it by com-puter processing. CCDs, for example, convert pho-tons falling on their light sensitive elements intoelectric signals that are assigned numeric values rep-resenting their strength. Spacecraft subsystems con-

Space-Based AstronomyActivity Guide for Science, Mathematics, and Technology Education 71

UNIT 4 DOWN TO EARTH

Introduction

Although astronomers who work with ground-based telescopes have to deal with bad

weather and atmospheric filtering, they do have one advantage over astronomers work-

ing with instruments in space. The ground-based astronomers can work directly with

their instruments.That means that they can constantly check and adjust their instruments

first-hand. Astronomers working with satellite-based instruments must do everything

remotely. With the exception of telescopes mounted in the Space Shuttle’s payload bay,

astronomers can only interact with their instruments via radio transmissions.That means

that the instruments have to be mounted on a satellite that provides radio receivers and

transmitters, electric power, pointing control, data storage, and a variety of computer-run

subsystems.

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vert numeric values into a data stream of binarynumbers that are transmitted to Earth. Oncereceived, computers reconvert the data stream tothe original numbers that can be processed intoimages or spectra.

If the satellite is geostationary, these data may betransmitted continuously to ground receiving sta-tions consisting of one or more radio antennasand support equipment. Geostationary satellitesorbit in an easterly direction over Earth’s equatorat an elevation of approximately 40,000 kilome-ters. They orbit Earth in one day, the same time ittakes Earth to rotate, so the satellite remains overthe same location on Earth at all times.

Satellites at other altitudes and orbital paths donot stay above one point on Earth. As a result,they remain visible to a particular ground stationfor a short time and then move out of range. Thisrequires many widely spaced ground stations tocollect the satellite’s data. In spite of this, thesatellite still spends much of its time over parts ofEarth where no stations exist (oceans, polarregions, etc.). For this reason, one of the subsys-tems on astronomical satellites are tape recordersthat store data until they can transmit it toground stations.

In the mid-1980’s, NASA began deploying theTracking and Data Relay Satellite System(TDRSS) into geostationary orbit. The purposeof this system is to relay data to ground stations.Because of their high orbits and their widely

spaced station points over Earth’s equator, theTDRSS satellites serve as relay points for lowersatellites and the Space Shuttle. The system pro-vides nearly continuous contact with spacecraftas they orbit Earth. TDRSS satellites relay datato a receiver at White Sands, New Mexico. Fromthere, the data travel via telephone lines, fiberoptic cable, or commercial communicationssatellites to its destination. Most astrophysicsdata travels from White Sands to the NASAGoddard Space Flight Center in Maryland fordistribution to scientists.

Unit Goal• To demonstrate how astronomical satellites

use technology to collect optical data, trans-mit that data to Earth, and reassemble it intoimages.

ApproachThe activities in this unit demonstrate the imag-ing process of astronomical satellites such as theHubble Space Telescope. Use the Magic Wandand Persistence of Vision activities together or asalternates. The Magic Wand activity shows howimages can be divided and reassembled. TheColor activity shows how astronomy satellitescollect color data and how that data can bereassembled on the ground. The Binary Numberand Paint by the Numbers activities familiarizestudents with the process of data transmission toEarth and its re-assembly into images.

National Aeronautics and Space Administration72

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ACTIVITY: Magic WandDescription: A recognizable image from a slide projectorappears while a white rod moves rapidly acrossthe projector’s beam.

Objective: To demonstrate how an image falling on a CCDarray is divided into individual pieces.

National Education Standards:Science

Evidence, models, & explanationMotions & forcesUnderstandings about science & technology

TechnologyUnderstand relationships & connections

among technologies & other fieldsUnderstand, select, & use information &

communication technologies

Materials:Slide projectorColor slide of clearly defined object such as

Saturn, a building, etc.1/2-inch dowel, 3 feet long Sheet of white paperWhite paint (flat finish)Dark room

Procedure:1. Paint the dowel white and permit it to dry.

(A piece of 3/4-inch PVC water pipe from ahardware store can substitute for the doweland white paint, and so can a painted meterstick.)

2. Set up the slide projector in the back ofthe classroom and focus the image of theslide at a distance of about 4 meters awayfrom the projector. Hold the sheet ofpaper in the beam at the proper distancefor easy focusing. Be sure the focus pointyou select is in the middle of the room andnot near a wall.

3. Arrange the students between the focuspoint and the projector. Darken the room.Hold the dowel in one hand and slowlymove it up and down through the projectorbeam at the focal point. Ask the students to

try to identify the image that appears on thedowel.

4. Gradually, increase the speed of the dowel’smovement.

5. When the dowel moves very fast, the imagebecomes clear.

Background:Because astronomy spacecraft operate in spacefor many years, the data they collect cannot berecorded on camera film. There is simply noeasy way to deliver the film to Earth for pro-cessing and to resupply the spacecraft with freshfilm. Rather, the satellite instruments collectlight from objects and divide it into discrete bitsof information and radio them to Earth as aseries of binary numbers. This activity demon-strates how images can be divided into manyparts and then reassembled into a recognizablepicture. By slowly moving the dowel across theslide projector’s beam, small fragments of theimage are captured and reflected (“radioed”)towards the students. Because more and morefragments are sent as the dowel is moved, theimage quickly becomes confused in the student’sminds. However, as the rod is moved more rap-

Space-Based AstronomyActivity Guide for Science, Mathematics, and Technology Education 73

Look through this end

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idly, an important property of the eye and brainconnection comes into play; light images aremomentarily retained. This property is calledpersistence of vision. As the dowel’s movementincreases, single lines of the image remain justlong enough to combine with the others to forma recognizable image. In this manner, the rapid-ly moving rod simulates the CCD and theeye/brain interaction simulates the final imagingcomputer that receives the radioed data andreassembles it for use.

Management and Tips:By setting up the projector so that its projectedimage is focused in the middle of the room, thelight from the image that falls on the far wall willbe out of focus. This will make it more difficultfor students to recognize the image until thedowel is passed through the light beam. Be sureto point out that the rod sends (“radios”) a frag-ment of the entire image. When the rod ismoved, another image fragment is received.Challenge your students to memorize each frag-ment as they receive it. The fragments will bequickly forgotten as new fragments are added. Itis only when the rod is moved very fast that theywill be able to recognize the image. However, ifthe fragments were received by a computer in adigital form, each fragment would be recordedand an image would be built up at any speed.Relate this activity to the Paint by the Numbersactivity on pages 00-00.

Assessment: Ask students to explain the imaging process as itis demonstrated here and use examples of imagesin other applications where the images consist ofsmall parts that combine to make a whole.

Extensions:• How do television studios create and trans-

mit pictures to home receivers?• How does a CCD work?• Project some slides. Magnify them as much as

possible on a projection screen to see how thecomplete image consists of many discrete parts.

• Construct a persistence of vision tube.Close off the end of a cardboard tubeexcept for a narrow slit. While lookingthrough the open end of the tube, wave thetube back and forth. A recognizable imagewill form at the other end of the tube. Usethe tube to examine fluorescent lights.Why do slightly darker bands appearacross the lights? Hint: Fluorescent lightsdo not remain on continuously. The lightturns on and off with the cycling of ACcurrent. Will using the tube to view anincandescent light have the same effect?Use the tube to examine the picture on atelevision screen. Why is the TV picturereduced to lines? Hint: Television picturesconsist of scan lines.

• A simpler version of the persistence of visiontube can be made with a 10 by 10-centime-ter square of black construction paper. Foldthe paper in half. Using scissors, cut a nar-row slit from the middle of the fold. Openthe square up and quickly pass the slit acrossone eye while looking at some distantobjects.

National Aeronautics and Space Administration74

Cut

out

slo

t

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ACTIVITY: ColorsDescription: Students identify the actual colors of objectsbathed in monochromatic light and learn howthree colors of light can be combined to producecolors ranging from black to white.

Objectives: • To identify the actual colors of objects

bathed in monochromatic light. • To demonstrate how three colored lights can

be combined to produce a wide range ofsecondary colors.

• To show how space observatories make useof monochromatic filters to collect data onthe color of objects in space.

National Education Standards:Science

Evidence, models, & explanationChange, constancy, & measurement

Abilities necessary to do scientific inquiryProperties & changes of properties in matterTransfer of energyUnderstandings about science & technology

TechnologyUnderstand relationships & connections

among technologies & other fieldsUnderstand troubleshooting, R & D, inven-

tion, innovation, & experimentationUnderstand, select, & use information &

communication technologies

Materials:Indoor/outdoor floodlights (red, green, and

blue)Adjustable fixtures to hold the lightsProjection screenVarious colored objects (apple, banana,

grapes, print fabrics, etc.)Dark room

Procedure Part 1 - Color Recognition:1. Prior to class, set up the three floodlights in a

row at a distance of about 4 meters from theprojection screen so that they each point to thecenter of the screen. The lights should bespaced about 1 meter apart. When properlyaimed, the three lights should blend to produce

a nearly white light falling on the screen. Moveone or more lights closer to or farther awayfrom the screen to achieve a proper balance.

2. Darken the classroom and turn on the redlamp.

3. Hold up the colored objects one at a time. Askstudents to make notes on the Color Table asto how bright or dark the objects appear in thered light.

4. Turn off the red light and turn on the greenlight and repeat with the same objects.Repeat again, but this time use the blue light.

5. Turn on the room lights and show the stu-dents the actual colors of the objects.

6. Challenge the students to identify the colors ofnew objects. Show them the unknown objectsin the red, green, and then blue lights. By usingtheir notes, the students should be able todetermine the actual colors of the objects.

7. Hold up a Granny Smith or Golden Deliciousapple to see if the students can correctly judgeits actual color or will instead jump to an erro-neous conclusion based on shape.

Procedure Part 2 - Color Shadows:

1. Using the same light and screen setup, darkenthe room and turn all the floodlights on, holdup your hand between the lights and thescreen. Three colored shadows appear––yellow,cyan, and magenta.

3. Move your hand closer to the screen. Theshadows will overlap and produce additionalcolors––red, blue, and green. When all the

Space-Based AstronomyActivity Guide for Science, Mathematics, and Technology Education 75

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shadows overlap, there is no color (light) leftand the shadow on the screen becomes black.

4. Invite your students to try their “hand” atmaking shadows.

Background:Astronomical spacecraft, working in the visibleregion of the electromagnetic spectrum, collectimages of stars and galaxies in various colors.Color filters rotate into the light path so that thedetector sees one color at a time. The image ineach of these colors is transmitted to Earth as aseries of binary numbers. Image processing com-puters on Earth take each of the images, colorthem, and combine all the images to reconstructa multi-colored image representing the true col-ors of the object. To enhance details in theimages, astronomers will use artificial colors orboost the color in one or more wavelengths.

Part 1 of this activity demonstrates the data col-lection part of the color imaging process. Byexamining various objects in red, green, and thenblue light, the students note that the brightnessvaries with the illuminating. Using colored lightsis equivalent to observing the objects throughcolored filters. The way each object appearsrelates to its “real” colors as seen in normal light.By noting subtle differences in brightness in eachof the three colored lights, the actual colors ofthe objects can be identified.

Part 2 of this activity demonstrates how a few basiccolors can produce a wide range of colors and hues.When the three lamps are set up properly, thescreen appears whitish. When all shadows overlap,they become black; black is the absence of light. Inbetween white and black are red, green, blue, cyan,yellow, and magenta. By moving the floodlightsforward and back, a wide range of hues appears.

Management and Tips:It is difficult to get a pure white screen withindoor/outdoor floodlights. The colors producedby them are not entirely monochromatic. Usingmuch more expensive lamps produces a betterwhite but the whiteness is not significantlyenhanced. An alternative to the colored lamps is toobtain red, green, and blue theatrical gels (filters)and place them (one each) on the stage of threeoverhead projectors. Aiming each of the three pro-jectors to the same place on the screen produces thesame effect as the lamps, but the colors are moreuniform across the screen and the white is purer.

Assessment:Collect the color tables of the students. Hold upcolored objects in different monochromaticlights and have the students try to identify theirwhite light colors.

Extensions:• Look at color magazine pictures. How many

colors do you see? Examine the pictures witha magnifying glass. How many colors do yousee? Also examine the picture on a color tel-evision screen.

• What common devices use red, green, andblue to produce colored pictures?

National Aeronautics and Space Administration76

RED

GREEN BLUE

WHITE

CYAN

MAGENTAYELLOW

ADDITIVE COLORS

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Space-Based AstronomyActivity Guide for Science, Mathematics, and Technology Education 77

CutOut

Front Plate

CutOut

CutOut

CutOut

Back Plate

CutOut

Back Plate

Front Plate

1

3

2

Color Filter Wheel

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• Is there any difference in the results of mix-ing colored lights and colored paints?

• Punch a 2-centimeter hole in an opaquepiece of paper. Adjusting the distance of thepaper to the screen may help students inves-tigate the color additive process.

• This activity also works using colored acetatefilters taped over small windows cut into filecards. Sheets of red, green, and blue acetatecan be purchased at art supply stores.Students can make their own filter cards andtake them home to look through the win-dows at a variety of objects. Better qualityfilters, that transmit “purer” colors, can be

obtained from theatrical supply stores at acost comparable to acetate filters. If yourschool has a theater department, you may beable to obtain filters (gels) from them.

• The following reference describes furtheractivities with the filters:

Sneider, C., Gould, A., & Hawthorne, C.,“Color Analyzers Teacher’s Guide,” GreatExplorations in Math and Science (GEMS),Lawrence Hall of Science, University ofCalifornia at Berkeley, 1991. (Available fromthe museum or the National ScienceTeacher’s Association.)

National Aeronautics and Space Administration78

Red Green Blue

Composite Image

Color Image Process

StSci-PR99-02Ring Nebula(M57)

This simulation of the imaging process of the Hubble Space Telescoperequired three separate images, each taken through a different filter. The M57 Ring Nebula looks very different in each of the exposures.To create the color composite image, each image is colored in red, green, or blue and combined.

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Object Red BlueGreen TrueColor

Object Red BlueGreen TrueColor

1

2

3

4

5

Color Table

Name

Unknown Colors

Known Colors

?

Student Work Sheet

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ACTIVITY: Binary NumbersDescription: Two flashlights are used to demonstrate howastronomy spacecraft transmit images and otherscientific data to Earth.

Objective: To use the binary number system to transmitmessages.

National Education Standards:Mathematics

Number & operationPatterns, function, & algebraMeasurementData analysis, statistics, & probabilityCommunicationConnectionsRepresentations

ScienceEvidence, models, & explanationChange, constancy, & measurementUnderstandings about science & technology

TechnologyUnderstand relationships & connections

among technologies & other fieldsUnderstand cultural, social, economic, &

political effects of technologyUnderstand, select, & use:

Medical technologiesAgricultural technologies & biotechnologiesEnergy & power technologiesInformation & communication technologiesTransportation technologiesManufacturing technologiesConstruction technologies

Materials:Two flashlights with pushbutton switchesBinary code and data sheets

Procedure:1. Explain how astronomical spacecraft use the

binary system to transmit, via radio waves,images and other scientific data from space-craft to Earth. Refer to the background sec-tion for details on how the system works.

2. Distribute the data sheet and substitutioncode page to every student. Tap out a six

number sequence of the push buttons on thetwo flashlights. Your right hand flashlightwill represent a 1 and your left hand flash-light will represent a 0. As the lights flash,each student should check off the appropri-ate box in the practice column. To makesense later, the students must check off theboxes representing right or left flashes in theexact sequence of the flashing lights. Refer tothe sample on the next page to see how tomake the checks.

3. For the practice columns, total up the num-bers each sequential flash represents. Forexample, if all flashes are with the left flash-light, the value is 0+0+0+0+0+0 = 0. If sixflashes are all with the right flashlight, thevalue of the binary number is 63. The firstright flash represents a 1, the second is 2, thethird is 4, the fourth is 8, the fifth is 16, andthe sixth is 32 (1+2+4+8+16+32=63). Thefollowing sequence of flashes is 37: Right,Left, Right, Left, Left, Right. After the boxesare filled in, the students total the numbersin the two columns. The answer will givestudents the total value of the number thatwas transmitted. (In this activity, the num-ber will represent a letter in a message. Withthe Hubble Space Telescope, the numberwill represent the brightness of a particularpoint on an image.)

4. After the students become familiar with themethod, transmit a message to the them.Create the message by referring to the substi-tution code in the following pages. Replaceeach word in your message with the corre-sponding code number. For example,“Hello!” would convert to 7, 4, 11, 11, 24,38. Next, convert each code number into abinary number. Seven, for example, becomesRight, Right, Right, Left, Left, Left and 24becomes Left, Left, Left, Right, Right, Left.As you will note in the substitution code, onlythe first 40 of the 64 possible numbers areused. The remaining numbers can be assignedto common words of your choosing such as“the” and “but,” and to short sentences suchas “How are you?” Transmit the message byflashing the lights in the proper sequence.Every six flashes represents a binary number

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that can be converted into a letter or wordthrough the code. Students receive the mes-sage by checking the flashes on the data sheet,determining the binary numbers they repre-sent, and then changing the numbers into let-ters or words.

5. Discuss how a picture could be translatedthrough binary code. (Refer to the activityPaint by the Numbers.)

Background:Because astronomical spacecraft operate in orbitaround Earth, the images they collect of objects inspace have to be transmitted to the ground byradio signals. To make this possible, the light fromthese objects is concentrated on a light sensitivecharged coupled device (CCD). The HubbleSpace Telescope uses four CCDs arranged in asquare. The surface of each CCD is a grid consist-ing of 800 vertical and 800 horizontal lines thatcreate a total of 640,000 light sensitive squarescalled pixels for picture elements. With fourCCDs, the total number of pixels in the HubbleSpace Telescope CCD array is 2,560,000.

Photons of light fall on the CCD array and areconverted into digital computer data. A numeri-cal value is assigned to the number of photonsreceived on each of the more than two millionpixels. This number represents the brightness ofthe light falling on each pixel. The numbers rangefrom 0 to 255. This range yields 256 shades ofgray ranging from black (0) to white (255).

These numbers are translated into a binary com-puter code on board the spacecraft. A binarynumber is a simple numeric code consisting of aspecific sequence of on and off radio signals.They are the same codes that are used in com-puters. A binary number radio transmission canbe compared to a flashing light. When the lightis on, the value of the signal is a specific number.When the light is off, the value is 0. (In thisactivity the right flashlight is the 1 and the leftflashlight is the 0. Although the activity could bedone with 1 flashlight, it would be difficult forstudents to determine how may 0’s are beingtransmitted when the light is off. Computersprecisely time the interval to determine how

many 0’s are in the sequence. Using a secondflashlight for 0’s makes it easy for students todetermine the number of 0’s.)

A binary number usually consists of 8 bits (1byte). The first bit in the sequence represents a 1.The second bit represents a 2. The remaining 6bits represent 4, 8, 16, 32, 64, and 128 respec-tively. If all bits are “on” the value of the binarynumber is the sum of each bit value—255. If allbits are “off,” the value is 0. A sequence of on, off,on, on, off, off, on, and off represents the numbers1+0+4+8+0+64+0, or 77. To save classroom time,the binary system has been simplified in this activ-ity by using a 6-bit binary code. The total value ofa 6-bit code is 64, or 1+2+4+8+16+32.

After the image of the space object is encoded, thebinary bits are transmitted by radio waves to areceiving station on the ground. The photons oflight that fall on each of the 2,560,000 pixels arenow represented by a data set consisting of20,480,000 binary bits. The computer will convertthem to a black and white image of the spaceobject. If a colored image is desired, at least twomore images are collected, each one taken througha different colored filter. The data from the threeimages are combined by a computer into a com-posite image that shows the actual colors of theobject being observed.

Because images collected by the HST and otherastronomy spacecraft are digital, astronomers canuse computers to manipulate images. Thismanipulation is roughly analogous to the manip-ulation of color, brightness, and contrast controlson a television set. The manipulation process iscalled enhancement and it provides astronomerswith a powerful tool for analyzing the light fromspace objects.

To learn more about the imaging process, refer tothe following activities in this guide: Paint by theNumbers and Colors.

Management and Tips:Students may be confused by right and left flash-lights when you face them. The right (1) and left(0) flashlights refer to the student’s right and left.

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Look at the columns of marks for each letter youtransmit. If the mark is in the right-hand boxand represents an on (1) signal, flash the rightflashlight. Students will read this as a 0. If themark is in the left-hand box and represents an off(0) signal, flash your left flashlight. Students willread this as a 1.

Students will sometimes lose track of the lightsequence by concentrating on their paper. If youcan dim the room lights a bit, which flashlightbeam is turned on is easier to see out of the cornerof the eye. Also, you can use the light fixtures usedin the color activity for the code. Use the greenlamp on for a 1 and the red lamp on for a 0.

Students may also become confused by using onenumber to represent another number. Make surethey understand the sequence of 1’s and 0’s is thecode. The on-off (1-0) code is what is used in theprocess. However, other things could be used forthe 1-0 such as the words “on-off ” or even wordslike “pickle-pineapple.” It is the sequence of thewords or numbers used that is important.If you have visually impaired students, you cansubstitute tapping two different surfaces to maketwo different sounds for them to listen to andinterpret as 1’s or 0’s.

If you wish to use materials other than flashlightsfor transmitting data, you can make two cardswith a large 1 on one card and a 0 on the other.Raise and lower the cards in sequence to repre-sent a binary number.

Assessment:Check the student sheets to see if they have cor-rectly received the message.

Extensions:• Have students code binary numbers with a

binary coder consisting of several paperdesert plates or shallow cups and markers

such as jelly beans or breakfast cereal pieces.Arrange the plates in a row and number thefirst one “1”. Mark the plate to the left “2”and the plate to the left of that one “4”, etc.Place a small group of markers in the 1plate. To code the markers into binarynumbers, follow these rules: If a plate hastwo or more markers, remove two markers.Place one of the markers in a discard pileand place the other one in the plate imme-diately to the left. Continue removingmarkers from the 1 plate until there is only1 or 0 left. If plate 2 has 2 or more markers,remove two. Discard one and place theother one in the plate to the left. Continueuntil all plates have only 1 or 0 markers inthem. Starting on the left, write the binarynumber. Put down a 0 for a plate with nomarkers in it and a 1 for a plate with amarker in it. To check your work, add upthe numbers on all the plates with markers.It should be the same as the number ofmarkers you started with.

• Transmit binary numbers by having fourstudents stand in a row in front of the class.Give each student a card with a 1 on oneside and a 0 on the other. Quietly tell thestudents to transmit the number 7 to theirclassmates. The four students will have todetermine between them who holds up a 0and who holds up a 1. The binary sequencefor 7 is 0111. The remainder of the studentsshould try to decode the binary number.With more students in the row, higher num-bers can be transmitted.

• Have students transmit other scientific datawith binary numbers. For example, studentscan measure the temperature of a liquid orthe mass of an object and transmit theresults to another student.

• How are binary numbers used in computers?• How high can you count with a binary

number consisting of 10 bits? 12?

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32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

32 16 8 4 2 1

Total

=

22

(16 + 4 + 2 = 22)

Sample Practice

32 16 8 4 2 1

Total

=

Practice

(Practice answers at bottom of page)

Practice Answers: 13 and 54Student Work Sheet - 1 Data Sheet

Name:

Wor

k do

wn

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to to

p

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to to

p

Start

Finish

1 10 0 01 1 10 1 1 10 010 0 1

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ACTIVITY: Paint by the NumbersDescription: A pencil and paper activity demonstrates howastronomical spacecraft and computers createimages of objects in space.

Objective: To simulate how light collected from a spaceobject converts into binary data and reconvertsinto an image of the object.

National Education Standards:Mathematics

Number & operationPatterns, function, & algebraMeasurementData analysis, statistics, & probabilityCommunicationConnectionsRepresentations

ScienceEvidence, models, & explanationChange, constancy, & measurementEarth in the solar systemAbilities of technological design

TechnologyUnderstand cultural, social, economic, &

political effects of technologyAbility to use & maintain technological

products & systemsUnderstand, select, & use:

Medical technologiesAgricultural technologies & biotechnologiesEnergy & power technologiesInformation & communication technologiesTransportation technologiesManufacturing technologiesConstruction technologies

Materials: (per group of two students)Transparent gridPaper gridPicture of housePencil

Procedure:1. Divide students into pairs.2. Give one student (A) in each pair the paper

copy of the blank grid on the next page. Givethe other student (B) in each pair the pictureof the house on the next page. Instruct stu-dent B not to reveal the picture to student A.Also give student B a copy of the transparentgrid. (See notes about making student copiesof the picture and grids on the next page.)

3. Explain that the picture is an object beingobserved at a great distance. It will be scannedby an optical device like those found on someastronomical satellites and an image will becreated on the paper.

4. Have student B place the grid over the picture.Student B should look at the brightness ofeach square defined by the grid lines andassign it a number according to the chartabove the picture. Student B will then call outthe number to student A. If a particular squarecovers an area of the picture that is both lightand dark, student B should estimate its aver-age brightness and assign an intermediatevalue to the square such as a 1 or a 2. Note:The letters and numbers on two sides of thegrid can assist the receiving student in findingthe location of each square to be shaded.

5. After receiving a number from student B, stu-dent A will shade the corresponding squareon the grid. If the number is 0, the squareshould be shaded black. If it is 3, the squareshould be left as it is.

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6. Compare the original picture with the imagesketched on the paper.

Background:This activity simulates the process by which anastronomy spacecraft such as the Hubble SpaceTelescope collects light from an astronomicalobject and converts the light into a digital formthat can be displayed on Earth as an image of theobject. The student with the transparent grid rep-resents the spacecraft. The picture is the object thespacecraft is trying to collect from. The studentwith the paper grid represents the radio receiver onthe ground and the image-processing computerthat will assemble the image of the object.

The image created with this activity is a cruderepresentation of the original picture. The reasonfor this is that the initial grid contains only 64squares (8 x 8). If there were many more squares,each square would be smaller and the imagewould show finer detail. You may wish to repeatthis activity with a grid consisting of 256 squares(16 x 16). However, increasing the number ofsquares will require more class time. If you wish

to do so, you can select a single student to repre-sent the spacecraft and transmit the data to therest of the class.

With the HST, the grid consists of more than 2.5million pixels and they are shaded in 256 stepsfrom black to white instead of just the 4 shadesused here. Color images of an object are createdby the HST with color filters. The spacecraftobserves the object through a red filter, a blue fil-ter, and then a green one. Each filter creates aseparate image, containing different informa-tion. These images are then colored and com-bined in a process similar to color separationsused for printing colored magazine pictures.

Management and Tips:Students can provide their own pictures for thisactivity. It is important for the pictures to showstrong contrast. The smaller the grid squares, themore detail that will appear in the image.However, simply going from a grid of 10 x 10 toa grid of 20 x 20 will quadruple the length oftime it takes to complete the image. Refer to theColor Recognition and Colored Shadows activi-

Space-Based AstronomyActivity Guide for Science, Mathematics, and Technology Education 85

0 1 2 3

Shading Values

100 Pixel Grid

Sample Picture

1 2 3 4 5 6 7 8 9 1 0ABCDEFGHIJK

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ties for more details on how color filters workand how to combine colors.

Assessment:Collect the pictures of the house drawn by thestudent receivers. Compare the original drawingwith the student images. Discuss with your stu-dents possible strategies for improving the detailof the images. Extensions:• Transmit and reconstruct the image of

Saturn shown on the next page. This moreadvanced picture uses six shades and smallergrid squares.

• Examine printed copies of drawings madewith a computer art program. Notice howthe pictures are constructed of individualpoints. Also notice how the size of the pointscontributes to the fineness of detail in thepicture.

• Examine pictures drawn on a computer. Usethe magnifying tool to move to the maxi-mum magnification possible. Compare thetwo views.

• Obtain Hubble Space Telescope imagesfrom the Internet sites given in Unit 5.Examine them closely for the pixel structure.Alternately enlarge and reduce the image sizeon your computer screen to see the effect onthe fineness of detail.

National Aeronautics and Space Administration86

100 Pixel Grid Over House

1,600 Pixel Grid

100 Pixel Grid

400 Pixel Grid

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0 1 2 3 4 5 6 7

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