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EEn.1.1.1ExplaintheoriginoftheEarthsmotionbasedontheoriginofthegalaxyanditssolarsystem.
ExplainPrecessionchangeindirectionoftheaxis,butwithoutanychangeintiltthischangesthestarsnear(ornotnear)thePole,butdoesnotaffecttheseasons(aslongastheangleof23.5degreesstaysthesame)
Explainnutationwobblingaroundtheprecessionalaxis(Thisisachangeintheangledegreeonewayortheother.Thisoccursoveran18yearperiodandisduetotheMoonexclusively.Thiswouldveryslightlyincreaseordecreasetheamountofseasonaleffects.)
EEn.1.1ExplaintheEarthsroleasabodyinspace.EEn.1.1.1ExplaintheEarthsmotionthroughspace,includingprecession,nutation,thebarycenter,anditspathaboutthegalaxy.
Explainplanetaryorbits,especiallythatoftheEarth,usingKeplerslaws.
Explainbarycenterthepointbetweentwoobjectswheretheybalanceeachother(Forexample,itisthecenterofmasswheretwoormorecelestialbodiesorbiteachother.Whenamoonorbitsaplanet,oraplanetorbitsastar,bothbodiesareactuallyorbitingaroundapointthatliesoutsidethecenteroftheprimary(thelargerbody).Forexample,themoondoesnotorbittheexactcenteroftheEarth,butapointonalinebetweentheEarthandtheMoonapproximately1,710kmbelowthesurfaceoftheEarth,wheretheirrespectivemassesbalance.ThisisthepointaboutwhichtheEarthandMoonorbitastheytravelaroundtheSun.
ExplainrelativemotionoftheEarthinthesolarsystem,thesolarsysteminthegalaxy,andthegalaxyintheuniverseincludingtheexpandingnatureoftheuniverseOrbitalmotion(EartharoundtheSunonce/year,seasonsdependuponanapproximate23.5degreetilt)Rotationaroundouraxis(day/night,)
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EEn.1.1.2ExplainhowtheEarthsrotationandrevolutionabouttheSunaffectitsshapeandisrelatedtoseasonsandtides.Describedailychangesduetorotation,seasonalchangesduetothetiltandrevolutionoftheEarth,andtidalimpactduetothegravitationalinteractionbetweentheEarthandmoon.
DevelopacauseandeffectmodelfortheshapeoftheEarthexplainingwhythecircumferencearoundtheequatorislargerthanthataroundthepoles.
EEn.1.1.3ExplainhowthesunproducesenergywhichistransferredtotheEarthbyradiation.EEn.1.1.3Comparecombustionandnuclearreactions(fusionandfission)onaconceptuallevel.Identifyfusionastheprocessthatproducesradiantenergyofstars.Identifytheformsofenergy(electromagneticwaves)producedbythesunandhowsomearefilteredbytheatmosphere(Xrays,cosmicrays,etc.).SummarizehowenergyflowsfromthesuntotheEarththroughspace.
EEn.1.1.4ExplainhowincomingsolarenergymakeslifepossibleonEarth.
EEn.1.1.4ExplainhowthetiltoftheEarthsaxisresultsinseasonsduetotheamountofsolarenergyimpactingtheEarthssurface.
Explaindifferentialheatingoftheearthssurface(watertemperaturevs.landtemperature)
Explainhowsolarenergyistransformedintochemicalenergythroughphotosynthesis.
Explainhowtheearthsmagneticfieldprotectstheplanetfromtheharmfuleffectsofradiation.
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ExplaintheoriginoftheEarthsmotionbasedontheoriginofthegalaxyanditssolarsystem
1.Nutation2.Precession3.Rotation
christophercrockett.com
MovementOftheEarth'sAxis
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JamesBradleyannouncedhisdiscoveryofnutationin1748.Nutationis,inastronomy,asmallirregularityintheprecessionoftheequinoxes.
NutationExplainnutationwobblingaroundtheprecessionalaxis(Thisisachangeintheangledegreeonewayortheother.Thisoccursoveran18yearperiodandisduetotheMoonexclusively.Thiswouldveryslightlyincreaseordecreasetheamountofseasonaleffects.)
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Nutation~isarocking,swaying,ornoddingmotionintheEarthsaxisofrotation~InthecaseofEarth,theprincipalsourcesoftidalforcearetheSunandMoonwhichcontinuouslychangelocationrelativetoeachotherandthuscausenutationinEarth'saxis~ThelargestcomponentofEarth'snutationhasaperiodof18.6years,
wobblingaroundtheprecessionalaxis(Thisisachangeintheangledegreeonewayortheother.Thisoccursoveran18yearperiodandisduetotheMoonexclusively.Thiswouldveryslightlyincreaseordecreasetheamountofseasonaleffects.)
Explainnutationwobblingaroundtheprecessionalaxis
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PrecessionchangeindirectionoftheEarth'saxis,butwithoutanychangeintiltthischangesthestarsnear(ornotnear)thePole,butdoesnotaffecttheseasons(aslongastheangleof23.5degreesstaysthesame)
britannica.com
Precession
iscausedbythegravitationalpulloftheSunandtheMoonontheEarth.0ftheEarth'sAxixs
oftheaxis
ExplainPrecessionchangeindirectionoftheaxis,butwithoutanychangeintiltthischangesthestarsnear(ornotnear)thePole,butdoesnotaffecttheseasons(aslongastheangleof23.5degreesstaysthesame)
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ExplainPrecessionchangeindirectionoftheaxis,butwithoutanychangeintiltthischangesthestarsnear(ornotnear)thePole,butdoesnotaffecttheseasons(aslongastheangleof23.5degreesstaysthesame)
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ExplainPrecessionchangeindirectionoftheaxis,butwithoutanychangeintiltthischangesthestarsnear(ornotnear)thePole,butdoesnotaffecttheseasons(aslongastheangleof23.5degreesstaysthesame)
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RotationoftheEarth'sAxisEarthSpinninginSpaceonitsAxis
Spinscounterclockwise
http://www.polaris.iastate.edu/NorthStar/Unit3/unit3_sub1.htm
Speed1675km/hor465meters/second.Thats1,040miles/hour.
:http://www.universetoday.com/26623/howfastdoestheearthrotate/#ixzz2tJQy04bk
Wanttodothecalculationforyourself?Theattheequatoris40,075km.AndthelengthoftimetheEarthtakestocompleteonefullturnonitsaxisis23.93hours.Thenwedividethelengthofadayintothedistanceapointontheequatortravelsinthatperiod:40,075km/23.93hours=1,675km/hour,465meters/second.
Causesnightandday
Describedailychangesduetorotation,
http://www.polaris.iastate.edu/northstar/unit3/unit3_sub1.htm
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SolarDaysandSiderealDaysSolartimeismeasuredwithrespecttotheSun'sapparentmotioninthesky.Theclocksweusearebasedonthismotion.TheapparentmotionoftheSunacrosstheskyisactuallycausedbytherotationoftheEarth.OurclocksmeasurethelengthoftimerequiredfortheEarthtorotateoncewithrespecttotheSun.Fromourperspective,theSunrevolvesaroundtheEarthevery24hours.Thisperiodisknownasasolarday.Siderealtimeismeasuredwithrespecttotheapparentmotionofthe'fixed'starsintheskyduetotheEarth'srotation.WhiletheEarthisrotatingonitsaxisitisalsomovingalongitsorbitaroundtheSun.OverthecourseofadaytheEarthmovesaboutonedegreealongitsorbit(360degreesinafullorbitdividedby365.25daysinayearisaboutonedegree).Therefore,fromourperspective,theSunmovesaboutonedegreefromwesttoeastwithrespecttothe'fixed'stars.Allofthismeansthataccordingtoourclocks,whicharebasedonsolartime,agivenstarwillriseorsetaboutfourminutesearliereachday(theEarthrotates15degreesinonehour,i.e.360/24,soonedegreeofrotationisequivalenttoaboutfourminutesoftime).Forexample,astarthatrisesat9:00pm(21:00)tonightwillriseat8:56pm(20:56)tomorrowandat8:52pm(20:52)thenextnight.Onemonthlaterthatstarwillriseorsettwohoursearlier.Inotherwords,fromourperspective,thestarsrevolvearoundtheEarthinonly23hoursand56minutes.Thisperiodisknownasasiderealday.
http://community.dur.ac.uk/john.lucey/users/e2_solsid.html
SiderealTimeAstronomersmakeuseofthesiderealday,whichisthetimerequiredfortheEarthtomakeonecompleterotation(360)withrespecttothestars.The"day"thatisusedineverydaylifeisthesolarday,whichis(approximately)thetimefromwhentheSunishighestintheskytowhenitisagainhighestinthesky.BecausetheEarthmovesaroundtheSunasitrotates,inonesolardaytheEarthmustrotatethroughabout361.Asolardayisabout4minuteslongerthanasiderealday.
http://bcs.whfreeman.com/universe7e/content/ch02/0203003.html
http://csep10.phys.utk.edu/astr161/lect/time/timekeeping.html
Describedailychangesduetorotation,
11
Describedailychangesduetorotation,
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Moon'sRotationAroundtheEarth
http://www.youtube.com/watch?v=OZIB_leg75Q
DescribethetidalimpactduetothegravitationalinteractionbetweentheEarthandmoon.
http://www.youtube.com/watch?v=ozib_leg75q
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Tides
Changesintheelevationoftheoceansurface
Forcethatmovestheocean
SunandMoon'sgravitycausestidesonEarth
*GravitationalforcebetweenEarthandMoonandSun
Every6hourstimeoceansriseandfall.
DescribethetidalimpactduetothegravitationalinteractionbetweentheEarthandmoon.
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EffecttheMoon'sRotationhasonEarth'sTides
ThetidesatagivenplaceintheEarth'soceansoccuraboutanhourlatereachday.SincetheMoonpassesoverheadaboutanhourlatereachday,itwaslongsuspectedthattheMoonwasassociatedwithtides.Newton'sLawofGravitationprovidedaquantitativeunderstandingofthatassociation
http://www.onr.navy.mil/focus/ocean/motion/tides2.htm
ReadArticleandTakeQuiz
DescribethetidalimpactduetothegravitationalinteractionbetweentheEarthandmoon.
http://www.onr.navy.mil/focus/ocean/motion/tides2.htm
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ThemoonisamajorinfluenceontheEarthstides,butthesunalsogeneratesconsiderabletidalforces.Solartidesareabouthalfaslargeaslunartidesandareexpressedasavariationoflunartidalpatterns,notasaseparatesetoftides.
Whenthesun,moon,andEarthareinalignment(atthetimeoftheneworfullmoon),thesolartidehasanadditiveeffectonthelunartide,creatingextrahighhightides,andverylow,lowtidesbothcommonlycalledspringtides.
****Springtidesarenotnamedfromtheseasonbutfrom"springforward")Thisoccurstwiceeachmonth,whenthemoonisfullandnew.
Atthefirstquartermoon~1weekafternewmoonandthirdquartermoon~1weekafterthefullmoon,thesunandmoonareata45angletoeachotherandthesolartidepartiallycancelsoutthelunartideandproducesmoderatetidesknownasneaptides.
Duringeachlunarmonth,twosetsofspringtidesandtwosetsofneaptidesoccur(Sumich,J.L.,1996).
Tides
http://oceanservice.noaa.gov/education/kits/tides/tides06_variations.html
DescribethetidalimpactduetothegravitationalinteractionbetweentheEarthandmoon.
http://oceanservice.noaa.gov/education/kits/tides/tides06_variations.html
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csep10.phys.utk.edu
DescribethetidalimpactduetothegravitationalinteractionbetweentheEarthandmoon.
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http://en.wikipedia.org/wiki/Tide
DescribethetidalimpactduetothegravitationalinteractionbetweentheEarthandmoon.
http://en.wikipedia.org/wiki/tide
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Inthisdiagram,youcanseethatthemoon'sgravitationalforcepullsonwaterintheoceanssothatthereare"bulges"intheoceanonbothsidesoftheplanet.Themoonpullswatertowardit,andthiscausesthebulgetowardthemoon.ThebulgeonthesideoftheEarthoppositethemooniscausedbythemoon"pullingtheEarthaway"fromthewateronthatside.Ifyouareonthecoastandthemoonisdirectlyoverhead,youshouldexperienceahightide.Ifthemoonisdirectlyoverheadontheoppositesideoftheplanet,youshouldalsoexperienceahightide.Duringtheday,theEarthrotates180degreesin12hours.Themoon,meanwhile,rotates6degreesaroundtheearthin12hours.Thetwinbulgesandthemoon'srotationmeanthatanygivencoastalcityexperiencesahightideevery12hoursand25minutesorso.
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itisthecenterofmasswheretwoormorecelestialbodiesorbiteachother.Whenamoonorbitsaplanet,oraplanetorbitsastar,bothbodiesareactuallyorbitingaroundapointthatisnotatthecenteroftheprimary(thelargerbody).Forexample,theMoondoesnotorbittheexactcenteroftheEarth,butapointonalinebetweenthecenteroftheEarthandtheMoon,approximately1,710kmbelowthesurfaceoftheEarth,wheretheirrespectivemassesbalance.ThisisthepointaboutwhichtheEarthandMoonorbitastheytravelaroundthesun
Barycenter
http://www.youtube.com/watch?v=uGBANgbRkws
Theexactcenterofallthematerial(thatis,mass)thatmakesupanobjectwhetheraplanetorapenciliscalledits"centerofgravity."
Explainbarycenterthepointbetweentwoobjectswheretheybalanceeachother(Forexample,itisthecenterofmasswheretwoormorecelestialbodiesorbiteachother.Whenamoonorbitsaplanet,oraplanetorbitsastar,bothbodiesareactuallyorbitingaroundapointthatliesoutsidethecenteroftheprimary(thelargerbody).Forexample,themoondoesnotorbittheexactcenteroftheEarth,butapointonalinebetweentheEarthandtheMoonapproximately1,710kmbelowthesurfaceoftheEarth,wheretheirrespectivemassesbalance.ThisisthepointaboutwhichtheEarthandMoonorbitastheytravelaroundtheSun.
http://www.youtube.com/watch?v=ugbangbrkws
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TheEarthMoonBarycenter
http://scienceprojectideasforkids.com/2010/barycenteroftheearthmoonsystem/
thepointbetweentwoobjectswheretheybalanceeachotherastheyorbiteachother
Explainbarycenterthepointbetweentwoobjectswheretheybalanceeachother
http://scienceprojectideasforkids.com/2010/barycenter-of-the-earth-moon-system/
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SunEarthMoonBarycenter
http://www.youtube.com/watch?v=W47Wa7onrIQ
Explainbarycenterthepointbetweentwoobjectswheretheybalanceeachother
http://www.youtube.com/watch?v=w47wa7onriq
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SummarizethattheSunisnotstationaryinoursolarsystem.Itactuallymovesastheplanetstugonit,causingittoorbitthesolarsystem'sbarycenter.TheSunneverstraystoofarfromthesolarsystembarycenter.
ThesetimeperiodsrelatetothemotionoftheSunaroundthecentreofmassofthesolarsystem.Heresaplotofthemotionsoyoucangetanideaofwhatthisisabout.
Thisiscausedbythechangingpositionsoftheplanetsastheyorbit,pullingtheSunaroundthecentreofmassorsolarsystembarycentre.
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SummarizethattheSunisnotstationaryinoursolarsystem
.Itactuallym
ovesastheplanetstugonit,causingittoorbitthesolarsystem'sbarycenter.
TheSunneverstraystoofarfrom
thesolarsystembarycenter.
ImageC
ourteseyofCarstenAnholman
dGeoffSharp
25
Orbitalmotion(EartharoundtheSunonce/year,seasonsdependuponanapproximate23.5degreetilt)
Revolution
EarthRevolvingAroundtheSunSpeed:67,062milesperhour
Howfastdoesearthmovearoundthesun?
http://www.youtube.com/watch?v=48cKCKnJ7jA
http://csep10.phys.utk.edu/astr161/lect/time/timekeeping.html
Time:365.25days~1year
DescribeseasonalchangesduetothetiltandrevolutionoftheEarth,
http://astro.unl.edu/naap/motion1/animations/seasons_ecliptic.html
ReasonfortheSeasonsEarthhasseasonsbecauseitsaxisdoesn'tstandupstraight. (23.5degreetilt)
http://www.youtube.com/watch?v=48ckcknj7jahttp://csep10.phys.utk.edu/astr161/lect/time/timekeeping.htmlhttp://astro.unl.edu/naap/motion1/animations/seasons_ecliptic.html
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Revolu
tion
nationsonline.org
WinterSolstice
Axisistiltedawayfromsun
VernalEquinox
Axisisnottiltedtowardthesun
12hoursofdaylightanddarknessonentireplanet
WinterinNorthernHemisphere
SummerSolsticeNorthernaxisistiltedtowardthesunSummerinNorthernHemisphere
AutumnalEquinox
Revolution
DescribeseasonalchangesduetothetiltandrevolutionoftheEarth,
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http://aspire.cosmicray.org/Labs/Tides/critical_speed.html
DosimulatorAnswerQueswtionsonSeparatePaper
http://d1jqu7g1y74ds1.cloudfront.net/wpcontent/uploads/2009/12/tilts_big.jpg
DescribeseasonalchangesduetothetiltandrevolutionoftheEarth,
http://aspire.cosmic-ray.org/labs/tides/critical_speed.htmlhttp://d1jqu7g1y74ds1.cloudfront.net/wp-content/uploads/2009/12/tilts_big.jpg
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Revolutionhttp://astro.unl.edu/naap/motion1/animations/seasons_ecliptic.html
Equinoxes~Equaltime
~markthebeginningofspringandfall.
http://aa.usno.navy.mil/data/docs/EarthSeasons.php
Solstices~Longestdayandlongestnightmarkthebeginningofsummerandwinter.
12hoursofdaylightanddarknessonentireplanet
March21stSeptember21st
June21stDecember21st
DescribeseasonalchangesduetothetiltandrevolutionoftheEarth,
http://astro.unl.edu/naap/motion1/animations/seasons_ecliptic.htmlhttp://aa.usno.navy.mil/data/docs/earthseasons.php
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FromWikipedia,thefreeencyclopedia
Anequinoxoccurstwiceayear(around20Marchand22September),whentheplaneofEarth'sequatorpassesthecenteroftheSun.AtthistimethetiltoftheEarth'saxisisinclinedneitherawayfromnortowardstheSun.Thetermequinoxcanalsobeusedinabroadersense,meaningthedatewhensuchapassagehappens.Thename"equinox"isderivedfromtheLatinaequus(equal)andnox(night),becausearoundtheequinox,nightanddayareaboutequallength.
DescribeseasonalchangesduetothetiltandrevolutionoftheEarth,
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DescribeseasonalchangesduetothetiltandrevolutionoftheEarth,
31
Kepler'sLawsUsingtheextensivecollectionofplanetarypositionsmeasuredbyTychoBraheoverseveraldecades,~Keplerwasabletodistillthesethousandsofobservationsto3LawsofPlanetaryMotion.~ThefirstLawsaysthattheorbitsofplanetsaroundtheSunareellipitcalinshape,NOTcircular(orcirclewithepicyclesandothersuchnonsense.)~ThesecondLawisshowngraphicallyinthenextviewgraph.ThisLawisjustastatementsoftheconservationofangularmomentum,butKeplerdidnotknowaboutthisconcept.~ThethirdLawisaquantitativerelationshipbetweentheorbitalperiod(timeforabodytoorbitSunonce)andthesizeoftheorbitofthebody(expressedasthesemimajoraxisaoftheorbit).~NotethattheseLawswereexpressedbyKepleraround400yearsago!!~Keplerdidnotunderstandthephysicsbehindhislaws,but(somehow!)~wasabletoseethesimplebasicpatternsthatcouldaccountfortheobservationsofplanetarypositions.~Ofcourse,theplanetarypositionsaremeasuredfromtheEarth,whichisalsomoving!~Certainlythisisoneofthemoststunningintellectualacheivementsofmankind.
32
Explainplanetaryorbits,especiallythatoftheEarth,usingKeplerslaws.
Kepler'sLaws.
ExplainrelativemotionoftheEarthinthesolarsystem,thesolarsysteminthegalaxy,andthegalaxyintheuniverseincludingtheexpandingnatureoftheuniverseOrbitalmotion
Kepler'sLaws
JohannesKepler,workingwithdatapainstakinglycollectedbyTychoBrahewithouttheaidofatelescope,developedthreelawswhichdescribedthemotionoftheplanetsacrossthesky.
1.TheLawofOrbits:Allplanetsmoveinellipticalorbits,withthesunatonefocus.
2.TheLawofAreas:Alinethatconnectsaplanettothesunsweepsoutequalareasinequaltimes.
3.TheLawofPeriods:Thesquareoftheperiodofanyplanetisproportionaltothecubeofthesemimajoraxisofitsorbit.Kepler'slawswerederivedfororbitsaroundthesun,buttheyapplytosatelliteorbitsaswell.
SMART Notebook
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FirstLaw:TheLawofOrbits:
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2.TheLawofAreas:
3.TheLawofPeriods:
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FirstLaw:TheLawofOrbits:
KeplersfirstlawofplanetarymotionisthateachplanetorbitstheSuninanellipse.TheSunisatoneofthefocioftheellipse,NOTatthecenteroftheellipse
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FirstLaw:TheLawofOrbits:
37
PlanetsmoveinellipticalorbitswiththeSunnotatthecenteroftheellipse,butatonefocus(theotherfocusisempty).Itsadeceptivelysimplelawthattookastonishinginsightandfiveyearsofhardwork.
Kepler'sFirstLaw
http://oneminuteastronomer.com/8626/keplerslaws/
FirstLaw:TheLawofOrbits:
http://oneminuteastronomer.com/8626/keplers-laws/
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http://www.mathopenref.com/constellipse1.html
Drawanellipsewithstring
http://www.google.com/imgres?q=earth's%20eccentricity&safe=active&sa=X&biw=1024&bih=557&tbm=isch&tbnid=YxEAlfeZiLgdpM%3A&imgrefurl=http%3A%2F%2Fwww.soes.soton.ac.uk%2Fstaff%2Fejr%2FDarkMed%2Fch5.html&docid=Lzq1XiceQi7VM&imgurl=http%3A%2F%2Fwww.soes.soton.ac.uk%2Fstaff%2Fejr%2FDarkMed%2F6precession.jpg&w=1027&h=755&ei=kWsCU_HfMcufkQe3joHQDQ&zoom=1&iact=rc&dur=1547&page=3&start=20&ndsp=12&ved=0CK4BEK0DMBw
FirstLaw:TheLawofOrbits:
http://www.mathopenref.com/constellipse1.htmlhttp://www.google.com/imgres?q=earth's%20eccentricity&safe=active&sa=x&biw=1024&bih=557&tbm=isch&tbnid=yxealfezilgdpm%3a&imgrefurl=http%3a%2f%2fwww.soes.soton.ac.uk%2fstaff%2fejr%2fdarkmed%2fch5.html&docid=lzq1xiceqi7-vm&imgurl=http%3a%2f%2fwww.soes.soton.ac.uk%2fstaff%2fejr%2fdarkmed%2f6-precession.jpg&w=1027&h=755&ei=kwscu_hfmcufkqe3johqdq&zoom=1&iact=rc&dur=1547&page=3&start=20&ndsp=12&ved=0ck4bek0dmbw
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Kepler's
Kepler's
Second
Law
SecondLaw
40
Kepler'ssecondlawofplanetarymotiondescribesthespeedofaplanettravelinginanellipticalorbitaroundthesun.Itstatesthatalinebetweenthesunandtheplanetsweepsequalareasinequaltimes.Thus,thespeedoftheplanetincreasesasitnearsthesunanddecreasesasitrecedesfromthesun.
41
KeplersSecondLaw~Aplanet'sdistancefromtheSunchangesduringanorbit.~KeplernoticedthatplanetsseemedtospeedupintheirorbitswhentheyareclosertotheSunandslowdownwhentheyrefurtheraway.Keplerhadtoquantifythismotion,anddidsobystatingthat~alinejoiningaplanetandtheSunsweepsoutequalareasduringequalintervalsoftime.
Keplers2ndLaw:ThelinefromtheSuntoaplanetsweepsoutequalareasinequaltimes.Whocares,youmightask?Wellthisdoesntaffectyoureverydaylifeandenjoymentofthenightsky,butKeplers2ndLawisa)Criticalforpredictingwherewecanseeplanetsinthesky,b)Adirectconsequenceofthegreatuniversallawofconservationofenergy.AsaplanetgetsclosertotheSun,ithaslesspotentialenergyandmorekineticenergy,andasitmovesawayfromtheSun,ithastheopposite.Withoutthislaw,wedstillbescratchingourheadaboutwhereandwhentheplanetsappearinthenightsky.
2.TheLawofAreas:
42
Kepler'ssecondlawofplanetarymotiondescribesthespeedofaplanettravelinginanellipticalorbitaroundthesun.Itstatesthatalinebetweenthesunandtheplanetsweepsequalareasinequaltimes.Thus,thespeedoftheplanetincreasesasitnearsthesunanddecreasesasitrecedesfromthesun.
2.TheLawofAreas:
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Kepler'ssecondlawrelatesthespeedofaplanet'sorbittoitsdistancefromtheSun.
AplanethasthemostgravitationalpotentialenergyandtheleastkineticenergywhenitisfarthestfromtheSun.IthastheleastgravitationalpotentialenergyandthemostkineticenergywhenitisclosesttotheSun.
Theorbitisacontinuousconversionofthetwotypesofenergy.
2.TheLawofAreas:
44
hildaandtrojanasteroids.net
Keplerssecondlaw(the"equalarea"law)statesthattheareasweptoutbythelinebetweenplanetandSunisequalforequaltime.TheplanetwouldtakethesameamountofTIMEtogofromAtoBasfromBtoC,etc.Forexample,theareaofthecrosshatchedregionbetweenpointsA,BandSunwouldbeequaltothecrosshatchedareabetweenpointH,IandtheSun.AsthedistancebetweenAandBalongtheorbitislargerthanthedistancebetweenHandIalongtheorbit,butthetimethesame,theplanetmustmovefasterbetweenAandBthanbetweenHandI.
2.TheLawofAreas:
45
2.TheLawofAreas:
46
2.TheLawofAreas:
47
48
Kepler'sThirdLaw
Kepler'sThirdLawKepler'sThirdLaw
Kepler'sThirdLaw
Kepler'sThirdLawKepler'sThirdLaw
Kepler'sThirdLaw
Kepler'sThirdLaw
Kepler'sThirdLaw
Kepler'sThirdLaw
Kepler'sThirdLaw
Kepler'sThirdLaw
Kepler'sThirdLaw
Kepler'sThirdLaw
Kepler'sThirdLaw
Kepler'sThirdLaw
Kepler'sThirdLaw
Kepler'sThirdLaw
Kepler'sThirdLaw
Kepler'sThirdLaw
Kepler'sThirdLaw
Kepler'sThirdLaw
49
Kepler'sthirdlawsometimesreferredtoasthelawofharmoniescomparestheorbitalperiodandradiusoforbitofaplanettothoseofotherplanets.
UnlikeKepler'sfirstandsecondlawsthatdescribethemotioncharacteristicsofasingleplanet,thethirdlawmakesacomparisonbetweenthemotioncharacteristicsofdifferentplanets.
Thecomparisonbeingmadeisthattheratioofthesquaresoftheperiodstothecubesoftheiraveragedistancesfromthesunisthesameforeveryoneoftheplanets.
Asanillustration,considertheorbitalperiodandaveragedistancefromsun(orbitalradius)forEarthandmarsasgiveninthetablebelow.
3.TheLawofPeriods:
50
3.TheLawofPeriods:
a=averagedistanceoftheplanettothesunp=timeperiodoftheorbit
51
spaceodyssey.dmns.org/media/3304/keplerslawsofplan
Kepler's3rdlawisamathematicalformula.Itmeansthatifyouknowtheperiodofaplanet'sorbit(P=howlongittakestheplanettogoaroundtheSun),thenyoucandeterminethatplanet'sdistancefromtheSun(a=thesemimajoraxisoftheplanet'sorbit).ItalsotellsusthatplanetsthatarefarawayfromtheSunhavelongerperiodsthanthoseclosetotheSun.TheymovemoreslowlyaroundtheSun.
comparestheorbitalperiodandradiusoforbitofaplanettothoseofotherplanets.UnlikeKepler'sfirstandsecondlawsthatdescribethemotioncharacteristicsofasingleplanet,thethirdlawmakesacomparisonbetweenthemotioncharacteristicsofdifferentplanets.Thecomparisonbeingmadeisthattheratioofthesquaresoftheperiodstothecubesoftheiraveragedistancesfromthesunisthesameforeveryoneoftheplanets.Asanillustration,considertheorbitalperiodandaveragedistancefromsun(orbitalradius)forEarthandmarsasgiveninthetablebelow.
http://www.youtube.com/watch?v=dRT3m2Wzyh4
http://www.youtube.com/watch?v=drt3m2wzyh4
52
Planet Period(yr) Ave.Dist.(au) T2/R3(yr2/au3)
Mercury 0.241 0.39 0.98
Venus .615 0.72 1.01
Earth 1.00 1.00 1.00
Mars 1.88 1.52 1.01
Jupiter 11.8 5.20 0.99
Saturn 29.5 9.54 1.00
Uranus 84.0 19.18 1.00
Neptune 165 30.06 1.00
Pluto 248 39.44 1.00
http://www.physicsclassroom.com/class/circles/u6l4a.cfm
3.TheL
awofPe
riods: ObservethattheT2/R3ratioisthesameforEarthasitisformars.
Infact,ifthesameT2/R3ratioiscomputedfortheotherplanets,itcanbefoundthatthisratioisnearlythesamevalueforalltheplanets(seetablebelow).Amazingly,everyplanethasthesameT2/R3ratio.
3.TheLawofPeriods:
(NOTE:Theaveragedistancevalueisgiveninastronomicalunitswhere1a.u.isequaltothedistancefromtheearthtothesun1.4957x1011m.Theorbitalperiodisgiveninunitsofearthyearswhere1earthyearisthetimerequiredfortheearthtoorbitthe
sun3.156x107seconds.)
http://www.physicsclassroom.com/class/circles/u6l4a.cfm
53
EEn.1.1.3ExplainhowthesunproducesenergywhichistransferredtotheEarthbyradiation.
54
En.1.1.3ExplainhowthesunproducesenergywhichistransferredtotheEarthbyradiation.
EEn.1.1.3Comparecombustionandnuclearreactions(fusionandfission)onaconceptuallevel.Identifyfusionastheprocessthatproducesradiantenergyofstars.Identifytheformsofenergy(electromagneticwaves)producedbythesunandhowsomeare
55
http://science.howstuffworks.com/sun2.htm
How the Sun Works
En.1.1.3ExplainhowthesunproducesenergywhichistransferredtotheEarthbyradiation.
http://www.youtube.com
/watch?v=32K
VGQy3bM
Y
http://www.northlandprep.org/wpcontent/uploads/2012/03/the_sun_worksheet.pdf
http://science.howstuffworks.com/sun2.htmhttp://www.youtube.com/watch?v=32kvgqy3bmyhttp://www.northlandprep.org/wp-content/uploads/2012/03/the_sun_worksheet.pdf
56
HowdoestheSunproduceenergy?TheSunproducesenergybythenuclearfusionofhydrogenintoheliuminitscore.
Whatthatmeansisthat,sincethereisahugeamountofhydrogeninthecore,theseatomssticktogetherandfuseintoaheliumatom.Thisenergyisthenradiatedoutfromthecoreandmovesacrossthesolarsystem.
Readmore:http://www.universetoday.com/75803/howdoesthesunproduceenergy/#ixzz2tlJKpBjb
EEn.1.1.3ExplainhowthesunproducesenergywhichistransferredtotheEarthbyradiation.
57
WhatisRadiation?
http://hps.org/publicinformation/ate/faqs/whatisradiation.html
http://www.qrg.northwestern.edu/projects/vss/docs/spaceenvironment/2whatiselectromagneticradiation.html
http://radbelts.gsfc.nasa.gov/outreach/space_radiation.html
Identifytheformsofenergy(electromagneticwaves)producedbythesunandhowsomearefilteredbytheatmosphere(Xrays,cosmicrays,etc.).
http://hps.org/publicinformation/ate/faqs/whatisradiation.htmlhttp://www.qrg.northwestern.edu/projects/vss/docs/space-environment/2-what-is-electromagnetic-radiation.htmlhttp://radbelts.gsfc.nasa.gov/outreach/space_radiation.html
58
Theword'radiation'hastodowithenergymovingthroughspace.
Therearemanyformsofradiationthatastronomersandphysicistsknowabout
WhatisRadiation?Identifytheformsofenergy(electromagneticwaves)producedbythesunandhowsomearefilteredbytheatmosphere(Xrays,cosmicrays,etc.).
E
Energytravelingintheformofvibrations~waves
59
TransverseWaves
Themovementofthematter'sparticlesareperpendiculartothemotionofthewave (upanddown)
waterwaves,electromagneticwaves
Themediummovesatrightanglestothedirectionthewavetravels
***Electromagneticwavesdonotneedamediumtotravel
ElectromagneticWaves
60
Thediagramillustratesthemotionofatransversewave.Lightwavesareexamplesoftransversewaves:theyundulateatrightanglestothedirectionoftravelandarecharacterizedbyalternatingcrestsandtroughs.Simplewaterwaves,suchastheripplesproducedwhenastoneisdroppedintoapond,arealsoexamplesoftransversewaves.(ImageRM)Image2of2
TransverseWaves
Themovementofthematter'sparticlesareperpendiculartothemotionofthewave
ElectromagneticWaves movement=
http://www.talktalk.co.uk/reference/encyclopaedia/hutchinson/m0006049.html
http://www.talktalk.co.uk/reference/encyclopaedia/hutchinson/m0006049.html
61
LongitudinalWaves
Wave MovementTransverse
Themovementofthematter'sparticlesareperpendiculartothemotionofthewave
particlesvibrateinthesamedirectionasorparalleltothewave
water,electromagnetic Soundandseismicwaves
Thediagramillustratesthemotionofalongitudinalwave.Sound,forexample,travelsthroughairinlongitudinalwaves:thewavesvibratebackandforthinthedirectionoftravel.Inthecompressionstheparticlesarepushedtogether,andintherarefactionstheyarepulledapart.(ImageRM)Image1of2
62
D.ElectromagneticWavesTransverseWaves
Producedbyelectricallychargedparticles
calledphotonswavesradiatefromphotonsdonotneedamediumtotravelthrough
havefluctuatingmagneticandelectricfields
perpendiculartoeachotherandperpendiculartothedirectionthelighttravels
/www.geo.mtu.edu/rs/back/spectrum/
1.Description
cantravelthroughavaccum
http://www.google.com/imgres?q=electromagnetic+waves&um=1&hl=en&safe=active&sa=n&biw=1280&bih=619&tbm=isch&tbnid=blydvkwr6t5xfm:&imgrefurl=http://www.geo.mtu.edu/rs/back/spectrum/&docid=u3dn6e-3hnimum&imgurl=http://www.geo.mtu.edu/rs/back/spectrum/e_mag.gif&w=506&h=268&ei=smw3tvqfice62wxb0szjcw&zoom=1&iact=hc&vpx=369&vpy=303&dur=235&hovh=163&hovw=309&tx=186&ty=88&sig=112092478427047389460&page=1&tbnh=102&tbnw=193&start=0&ndsp=16&ved=1t:429,r:6,s:0
63
EEn.1.1.3Identifytheformsofenergy(electromagneticwaves)producedbythesunandhowsomearefilteredbytheatmosphere(Xrays,cosmicrays,etc.).
http://www.google.com/imgres?sa=X&biw=1024&bih=557&tbm=isch&tbnid=18Fs8JjgP_4pM%3A&imgrefurl=http%3A%2F%2Fwww.docstoc.com%2Fdocs%2F79727858%2FElectromagneticSpectrumWorksheet&docid=45AQs1WR23t8yM&imgurl=http%3A%2F%2Fimg.docstoccdn.com%2Fthumb%2Forig%2F79727858.png&w=1275&h=1650&ei=pSkNU4mSKvPW0gH_o4G4Bg&zoom=1&iact=rc&dur=1000&page=1&start=0&ndsp=8&ved=0CFIQrQMwAA
electromagneticspectrumimagine.gsfc.nasa.gov
http://www.sciencewithmrjones.com/downloads/astronomy/universe/electromagnetic_spectrum_&_light__webquest.pdf
http://www.google.com/#q=school.discoveryeducation.com%2Flessonplans%2Finteract%2Felectromagneticspectrum.html
http://www.google.com/imgres?sa=x&biw=1024&bih=557&tbm=isch&tbnid=18fs-8jjgp_4pm%3a&imgrefurl=http%3a%2f%2fwww.docstoc.com%2fdocs%2f79727858%2felectromagnetic-spectrum-worksheet&docid=45aqs1wr23t8ym&imgurl=http%3a%2f%2fimg.docstoccdn.com%2fthumb%2forig%2f79727858.png&w=1275&h=1650&ei=psknu4mskvpw0gh_o4g4bg&zoom=1&iact=rc&dur=1000&page=1&start=0&ndsp=8&ved=0cfiqrqmwaahttp://www.sciencewithmrjones.com/downloads/astronomy/universe/electromagnetic_spectrum_&_light_-_webquest.pdfhttp://www.google.com/#q=school.discoveryeducation.com%2flessonplans%2finteract%2felectromagneticspectrum.html
64
http://delloyd.50megs.com/moreinfo/spectrum.html UsewebsitetolistfactsinEM
EEn.1.1.3Identifytheformsofenergy(electromagneticwaves)producedbythesunandhowsomearefilteredbytheatmosphere(Xrays,cosmicrays,etc.).
Speeddecreasesafterenteringmaterials.Theonlydifferencebetweenthemistheirwavelength,whichisdirectlyrelatedtotheamountofenergythewavescarry.
Theshorterthewavelengthoftheradiation,thehighertheenergy.
TheElectromagneticSpectrumofRadiation
Allofthesewavesareelectricandmagneticforces
Allhavespeed186,000milespersecond=c=speedoflight!
Theymovethroughvacuum,anddonotneeda'carrier'.300,000km/sec
http://delloyd.50megs.com/moreinfo/spectrum.html
65
EEn.1.1.3ExplainhowthesunproducesenergywhichistransferredtotheEarthbyradiation.
Identifytheformsofenergy(electromagneticwaves)producedbythesunandhowsomearefilteredbytheatmosphere(Xrays,cosmicrays,etc.).
SummarizehowenergyflowsfromthesuntotheEarththroughspace.
http://imagine.gsfc.nasa.gov/docs/science/know
_l1/emspectrum
.html
http://imagine.gsfc.nasa.gov/docs/science/quiz_l1/emspectrum_quiz.html
http://imagine.gsfc.nasa.gov/docs/science/know_l1/emspectrum.htmlhttp://imagine.gsfc.nasa.gov/docs/science/quiz_l1/emspectrum_quiz.html
66
Comparecombustionandnuclearreactions(fusionandfission)onaconceptuallevel.Identifyfusionastheprocessthatproducesradiantenergyofstars.
http://www.youtube.com/watch?v=pusKlK1L5ToFusion
http://www.meridianschools.org/MHS/TeachersStaff/MP/Nawrocki/AssignmentsInformation/Nuclear%20Fission%20vs%20Fusion.pdf
http://www.youtube.com/watch?v=mBdVK4cqiFsFission
http://www.rsec.psu.edu/pages/education/lessons/Combustion%20Fission%20Fusion.pdflesson
Comparecombustionandnuclearreactions(fusionandfission)onaconceptuallevel.Identifyfusionastheprocessthatproducesradiantenergyofstars.
http://www.youtube.com/watch?v=pusklk1l5tohttp://www.meridianschools.org/mhs/teachersstaff/mp/nawrocki/assignmentsinformation/nuclear%20fission%20vs%20fusion.pdfhttp://www.youtube.com/watch?v=mbdvk4cqifshttp://www.rsec.psu.edu/pages/education/lessons/combustion%20fission%20fusion.pdf
67
Comparecombustionandnuclearreactions(fusionandfission)onaconceptuallevel.Identifyfusionastheprocessthatproducesradiantenergyofstars.
Combustion
http://web.mnstate.edu/marasing/CHEM102/Chapter%20Notes/Ch_04%20ho.pdf
http://fusioned.gat.com/education_notebook/images/pdf/fusion_workbook.pdf
workbookonfusionandfission
http://web.mnstate.edu/marasing/chem102/chapter%20notes/ch_04%20ho.pdfhttp://fusioned.gat.com/education_notebook/images/pdf/fusion_workbook.pdf
68
EEn.1.1.4ExplainhowincomingsolarenergymakeslifepossibleonEarth.
EEn.1.1.4ExplainhowthetiltoftheEarthsaxisresultsinseasonsduetotheamountofsolarenergyimpactingtheEarthssurface.
Explaindifferentialheatingoftheearthssurface(watertemperaturevs.landtemperature)
Explainhowsolarenergyistransformedintochemicalenergythroughphotosynthesis.
Explainhowtheearthsmagneticfieldprotectstheplanetfromtheharmfuleffectsofradiation.
69
EEn.1.1.3ExplainhowthesunproducesenergywhichistransferredtotheEarthbyradiation.
http://scienceedu.larc.nasa.gov/EDDOCS/radiation_facts.html
SummarizehowenergyflowsfromthesuntotheEarththroughspace.
http://science-edu.larc.nasa.gov/eddocs/radiation_facts.html
70
EEn.1.1.4ExplainhowincomingsolarenergymakeslifepossibleonEarth.
ExplainhowthetiltoftheEarthsaxisresultsinseasonsduetotheamountofsolarenergyimpactingtheEarthssurface.
71
Revolu
tion
nationsonline.org
WinterSolstice
Axisistiltedawayfromsun
VernalEquinox
Axisisnottiltedtowardthesun
12hoursofdaylightanddarknessonentireplanet
WinterinNorthernHemisphere
SummerSolsticeNorthernaxisistiltedtowardthesunSummerinNorthernHemisphere
AutumnalEquinox
Revolution
DescribeseasonalchangesduetothetiltandrevolutionoftheEarth,
72
EEn.1.1.4ExplainhowincomingsolarenergymakeslifepossibleonEarth.Explaindifferentialheatingoftheearthssurface(watertemperaturevs.landtemperature)
http://www.ucmp.berkeley.edu/education/dynamic/session4/sess4_act3.htm
http://www.ucar.edu/learn/1_1_2_5t.htm
http://www.ucmp.berkeley.edu/education/dynamic/session4/sess4_act3.htmhttp://www.ucar.edu/learn/1_1_2_5t.htm
73
ExplainhowsolarenergyistransformedintochemicalenergythroughphotosynthesisExplainhowtheearthsmagneticfieldprotectstheplanetfromtheharmfuleffectsofradiation.
1.1.4Explainhowsolarenergyistransformedintochemicalenergythroughphotosynthesis
Concept1:AnOverviewofPhotosynthesis
Photosynthesisconvertslightenergyintothechemicalenergyofsugarsandotherorganiccompounds.Thisprocessconsistsofaseriesofchemicalreactionsthatrequirecarbondioxide(CO2)andwater(H2O)andstorechemicalenergyintheformofsugar.Lightenergyfromlightdrivesthereactions.Oxygen(O2)isabyproductofphotosynthesisandisreleasedintotheatmosphere.Thefollowingequationsummarizesphotosynthesis
sunlight+6CO2+6H2O6(CH2O)+6O2sugar
http://www.phschool.com/science/biology_place/biocoach/photosynth/electro.htmlshowsdiagramofphotosynthesis
http://www.phschool.com/science/biology_place/biocoach/photosynth/electro.html
74
Explainhowtheearthsmagneticfieldprotectstheplanetfromtheharmfuleffectsofradiation
Explainhowtheearthsmagneticfieldprotectstheplanetfromtheharmfuleffectsofradiation
http://www.windows2universe.org/earth/Magnetosphere/overview.html
http://www.windows2universe.org/earth/magnetosphere/overview.html
Attachments
Kepler'sLaws.pdf
SMART Notebook
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