SlideShare a Scribd company logo
KEPLER’S LAW OF
PLANETARY
MOTION
Watch the video clip
https://www.youtube.com/watch?v=N5a9npp0Qbw
How does the planets around the Sun???
What are Kepler’s law of planetary motion???
Corpenicus (1473-
1543) Planetary model
proposed that Earth
and other planets orbit
the sun in perfect
circles. The model also
shows moon’s inclined
orbit around Earth.
Danish astronomer Tyco
Brahe (1546-1601) had an
island observatory and the
best measurements of the
positions for all known
planets (Mercury, Venus,
Mars, Jupiter, and Saturn)
and the Moon.
Picture of Brahe
Austrian
mathematician
Johannes Kepler
(1571-1630),
interested in how
the planets move
around the sun,
went to Tyco’s
island to get these
accurate
measurements.
At that time, many astronomers
believed that planets orbited around
the sun in perfect circles, but Tyco’s
accurate measurements for Mars
didn’t fit a circle.
Instead, the mathematician Johannes
Kepler found that the orbit of Mars fit
an ellipse the best…
What is an ellipse?
2 foci
An ellipse is a
geometric shape with
2 foci instead of 1
central focus, as in a
circle. The sun is at
one focus with
nothing at the other
focus.
FIRST LAW OF PLANETARY MOTION
An ellipse also has…
…a major axis …and a minor axis
Semi-major axis
Perihelion Aphelion
Perihelion: When Mars or any another planet
is closest to the sun.
Aphelion: When Mars or any other planet is
farthest from the sun.
Kepler also found that Mars changed
speed as it orbited around the sun:
faster when closer to the sun, slower
when farther from the sun…
A B
But, areas A and B,
swept out by a line
from the sun to
Mars, were equal
over the same
amount of time.
SECOND LAW OF PLANETARY
MOTION
Kepler found a
relationship between the
time it took a planet to
go completely around
the sun (T, sidereal
year), and the average
distance from the sun
(R, semi-major axis)…
R1
R2
T1
T2
T1
2 R1
3
T2
2 R2
3
=
T 2 = T x T
R3 = R x R x R
( )
THIRD LAW OF PLANETARY MOTION
T2
R2
Earth’s sidereal year (T)
and distance (R) both
equal 1. The average
distance from the Earth
to the sun (R) is called 1
astronomical unit (AU).
Kepler’s Third Law, then, changes to
T1
2 R1
3 T1
2 R1
3
T2
2 R2
3 1 1
= =
or or T1
2 = R1
3
Kepler’s Laws apply to any celestial
body orbiting any other celestial body.
• Any planet around a sun
• The moon around the Earth
• Any satellite around the Earth
• The international space station
• Any rings around any planet
Later, Isaac Newton built upon Kepler’s Laws
to confirm his own Law of Gravitation.
THE RED PLANET MARS IS FOREVER
LINKED TO OUR UNDERSTANDING OF
THE SOLAR SYSTEM AND ONE OF THE
4 BASIC FORCES OF NATURE.
If it wasn’t for Mars and its complicated
travels across the night sky, Johannes Kepler
may not have derived his Laws of Planetary
Motion. Isaac Newton might not have had a
foundation for his Law of Gravitation...

More Related Content

Similar to Kepler's Laws of Planetarycvcvc Motion.ppt

ASTRONOMY.pdf
ASTRONOMY.pdfASTRONOMY.pdf
ASTRONOMY.pdf
ivy buncaras
 
Johannes kepler
Johannes keplerJohannes kepler
Johannes kepler
ryedevaught
 
Astronamy in quran.ppt saleel@hira
Astronamy in quran.ppt saleel@hiraAstronamy in quran.ppt saleel@hira
Astronamy in quran.ppt saleel@hira
Dr. Ahamed Saleel C
 
Math In Space: Planetary Orbits
Math In Space: Planetary OrbitsMath In Space: Planetary Orbits
Math In Space: Planetary Orbits
Gregory Tewksbury
 
4.6- The Wanderers ves 7.pptx
4.6- The Wanderers ves 7.pptx4.6- The Wanderers ves 7.pptx
4.6- The Wanderers ves 7.pptx
Dr Robert Craig PhD
 
4.6- The Wanderers ves 7.pptx
4.6- The Wanderers ves 7.pptx4.6- The Wanderers ves 7.pptx
4.6- The Wanderers ves 7.pptx
Dr Robert Craig PhD
 
4.6- The Wanderers ves 7.pptx
4.6- The Wanderers ves 7.pptx4.6- The Wanderers ves 7.pptx
4.6- The Wanderers ves 7.pptx
Dr Robert Craig PhD
 
Copernican revolution
Copernican revolutionCopernican revolution
Copernican revolution
Dr Robert Craig PhD
 
Early View of the Universe
Early View of the UniverseEarly View of the Universe
Early View of the Universe
profbruckner
 
Ptolomy, copernicus, and kepler's laws
Ptolomy, copernicus, and kepler's lawsPtolomy, copernicus, and kepler's laws
Ptolomy, copernicus, and kepler's laws
cveigas
 
Planetary Motion & Historical People in Astronomy
Planetary Motion & Historical People in AstronomyPlanetary Motion & Historical People in Astronomy
Planetary Motion & Historical People in Astronomy
Bantay's Earth Science!
 
1. Astronomy, Astronomers and their Contributions.pptx
1. Astronomy, Astronomers and their Contributions.pptx1. Astronomy, Astronomers and their Contributions.pptx
1. Astronomy, Astronomers and their Contributions.pptx
LianneParrenas1
 
Dtu10e lecture ppt_ch02
Dtu10e lecture ppt_ch02Dtu10e lecture ppt_ch02
Dtu10e lecture ppt_ch02
Asma Said,PhD
 
A. history of astronomy
A. history of astronomyA. history of astronomy
A. history of astronomy
Jan Crisides Corrado
 
The history and science of the Transit of Venus
The history and science of the Transit of VenusThe history and science of the Transit of Venus
The history and science of the Transit of Venus
Sze-leung Cheung
 
Helio vs geo 2 ge notes
Helio vs geo 2 ge notesHelio vs geo 2 ge notes
Helio vs geo 2 ge notes
sciencenerd42 McCarthy
 
Astronomy by victor r
Astronomy by victor rAstronomy by victor r
Astronomy by victor r
pia diane Cornes
 
Lesson 1 history of astronomy3
Lesson 1  history of astronomy3Lesson 1  history of astronomy3
Lesson 1 history of astronomy3
Adrian
 
Johannes kepler nomination
Johannes kepler nominationJohannes kepler nomination
Johannes kepler nomination
dom vin
 
Keplers_Laws_and_barycenter.ppt
Keplers_Laws_and_barycenter.pptKeplers_Laws_and_barycenter.ppt
Keplers_Laws_and_barycenter.ppt
PapuKumarNaik1
 

Similar to Kepler's Laws of Planetarycvcvc Motion.ppt (20)

ASTRONOMY.pdf
ASTRONOMY.pdfASTRONOMY.pdf
ASTRONOMY.pdf
 
Johannes kepler
Johannes keplerJohannes kepler
Johannes kepler
 
Astronamy in quran.ppt saleel@hira
Astronamy in quran.ppt saleel@hiraAstronamy in quran.ppt saleel@hira
Astronamy in quran.ppt saleel@hira
 
Math In Space: Planetary Orbits
Math In Space: Planetary OrbitsMath In Space: Planetary Orbits
Math In Space: Planetary Orbits
 
4.6- The Wanderers ves 7.pptx
4.6- The Wanderers ves 7.pptx4.6- The Wanderers ves 7.pptx
4.6- The Wanderers ves 7.pptx
 
4.6- The Wanderers ves 7.pptx
4.6- The Wanderers ves 7.pptx4.6- The Wanderers ves 7.pptx
4.6- The Wanderers ves 7.pptx
 
4.6- The Wanderers ves 7.pptx
4.6- The Wanderers ves 7.pptx4.6- The Wanderers ves 7.pptx
4.6- The Wanderers ves 7.pptx
 
Copernican revolution
Copernican revolutionCopernican revolution
Copernican revolution
 
Early View of the Universe
Early View of the UniverseEarly View of the Universe
Early View of the Universe
 
Ptolomy, copernicus, and kepler's laws
Ptolomy, copernicus, and kepler's lawsPtolomy, copernicus, and kepler's laws
Ptolomy, copernicus, and kepler's laws
 
Planetary Motion & Historical People in Astronomy
Planetary Motion & Historical People in AstronomyPlanetary Motion & Historical People in Astronomy
Planetary Motion & Historical People in Astronomy
 
1. Astronomy, Astronomers and their Contributions.pptx
1. Astronomy, Astronomers and their Contributions.pptx1. Astronomy, Astronomers and their Contributions.pptx
1. Astronomy, Astronomers and their Contributions.pptx
 
Dtu10e lecture ppt_ch02
Dtu10e lecture ppt_ch02Dtu10e lecture ppt_ch02
Dtu10e lecture ppt_ch02
 
A. history of astronomy
A. history of astronomyA. history of astronomy
A. history of astronomy
 
The history and science of the Transit of Venus
The history and science of the Transit of VenusThe history and science of the Transit of Venus
The history and science of the Transit of Venus
 
Helio vs geo 2 ge notes
Helio vs geo 2 ge notesHelio vs geo 2 ge notes
Helio vs geo 2 ge notes
 
Astronomy by victor r
Astronomy by victor rAstronomy by victor r
Astronomy by victor r
 
Lesson 1 history of astronomy3
Lesson 1  history of astronomy3Lesson 1  history of astronomy3
Lesson 1 history of astronomy3
 
Johannes kepler nomination
Johannes kepler nominationJohannes kepler nomination
Johannes kepler nomination
 
Keplers_Laws_and_barycenter.ppt
Keplers_Laws_and_barycenter.pptKeplers_Laws_and_barycenter.ppt
Keplers_Laws_and_barycenter.ppt
 

More from hamda100

Diffractionncxcjhdcjnnjdcndkj New (1).pptx
Diffractionncxcjhdcjnnjdcndkj New (1).pptxDiffractionncxcjhdcjnnjdcndkj New (1).pptx
Diffractionncxcjhdcjnnjdcndkj New (1).pptx
hamda100
 
Optical Pheno mcmknckklvmnvjmvnmenon.pptx
Optical Pheno mcmknckklvmnvjmvnmenon.pptxOptical Pheno mcmknckklvmnvjmvnmenon.pptx
Optical Pheno mcmknckklvmnvjmvnmenon.pptx
hamda100
 
work and simplvbvfv cbfdvc bfve machines.pptx
work and simplvbvfv cbfdvc bfve machines.pptxwork and simplvbvfv cbfdvc bfve machines.pptx
work and simplvbvfv cbfdvc bfve machines.pptx
hamda100
 
fusion_and_fission njnbjdncjdv nc bvhvbhj(1).ppt
fusion_and_fission njnbjdncjdv nc bvhvbhj(1).pptfusion_and_fission njnbjdncjdv nc bvhvbhj(1).ppt
fusion_and_fission njnbjdncjdv nc bvhvbhj(1).ppt
hamda100
 
Magnetism 3123515120231354651230221-1.ppt
Magnetism 3123515120231354651230221-1.pptMagnetism 3123515120231354651230221-1.ppt
Magnetism 3123515120231354651230221-1.ppt
hamda100
 
Momentum_and_Impcddcdddvdvvvvcvculse.ppt
Momentum_and_Impcddcdddvdvvvvcvculse.pptMomentum_and_Impcddcdddvdvvvvcvculse.ppt
Momentum_and_Impcddcdddvdvvvvcvculse.ppt
hamda100
 
Diffraction New (1).pptxcddvdvdvdvdvdvcvdvd
Diffraction New (1).pptxcddvdvdvdvdvdvcvdvdDiffraction New (1).pptxcddvdvdvdvdvdvcvdvd
Diffraction New (1).pptxcddvdvdvdvdvdvcvdvd
hamda100
 
Law of Universal Gvvdvxcvvfravitation.pptx
Law of Universal Gvvdvxcvvfravitation.pptxLaw of Universal Gvvdvxcvvfravitation.pptx
Law of Universal Gvvdvxcvvfravitation.pptx
hamda100
 
Thin le c cvcvcvvcvdvdgfdvfgvfbdbgnses.pptx
Thin le c cvcvcvvcvdvdgfdvfgvfbdbgnses.pptxThin le c cvcvcvvcvdvdgfdvfgvfbdbgnses.pptx
Thin le c cvcvcvvcvdvdgfdvfgvfbdbgnses.pptx
hamda100
 
HP_13_win.EMS_anvdvfdgfddfgvdfd_Reflection.ppt
HP_13_win.EMS_anvdvfdgfddfgvdfd_Reflection.pptHP_13_win.EMS_anvdvfdgfddfgvdfd_Reflection.ppt
HP_13_win.EMS_anvdvfdgfddfgvdfd_Reflection.ppt
hamda100
 
Heat_in_the_Eavdvdvdvfvdvdvdfvfdvfdvfrth.ppt
Heat_in_the_Eavdvdvdvfvdvdvdfvfdvfdvfrth.pptHeat_in_the_Eavdvdvdvfvdvdvdfvfdvfdvfrth.ppt
Heat_in_the_Eavdvdvdvfvdvdvdfvfdvfdvfrth.ppt
hamda100
 
Circular motion and Gravitmnjhygbjation.pptx
Circular motion and Gravitmnjhygbjation.pptxCircular motion and Gravitmnjhygbjation.pptx
Circular motion and Gravitmnjhygbjation.pptx
hamda100
 
d214b121ffcb93def49e2a599d4d39bhjbjbhjbjhbjbb56.pptx
d214b121ffcb93def49e2a599d4d39bhjbjbhjbjhbjbb56.pptxd214b121ffcb93def49e2a599d4d39bhjbjbhjbjhbjbb56.pptx
d214b121ffcb93def49e2a599d4d39bhjbjbhjbjhbjbb56.pptx
hamda100
 
fusion_and_fission.pptcdddfddvffgvfgdgfgfv
fusion_and_fission.pptcdddfddvffgvfgdgfgfvfusion_and_fission.pptcdddfddvffgvfgdgfgfv
fusion_and_fission.pptcdddfddvffgvfgdgfgfv
hamda100
 
Character Annotations - Caliban and Ariel.pptx
Character Annotations - Caliban and Ariel.pptxCharacter Annotations - Caliban and Ariel.pptx
Character Annotations - Caliban and Ariel.pptx
hamda100
 
Africa.pptxvcx cx c c cvbfvfddsdasDscvdbfgfb
Africa.pptxvcx cx c c cvbfvfddsdasDscvdbfgfbAfrica.pptxvcx cx c c cvbfvfddsdasDscvdbfgfb
Africa.pptxvcx cx c c cvbfvfddsdasDscvdbfgfb
hamda100
 
Genes and Heredity new.ppkmkjijntx mnkjn
Genes and Heredity new.ppkmkjijntx mnkjnGenes and Heredity new.ppkmkjijntx mnkjn
Genes and Heredity new.ppkmkjijntx mnkjn
hamda100
 
83192-Japan theme good Presentation.pptx
83192-Japan theme good  Presentation.pptx83192-Japan theme good  Presentation.pptx
83192-Japan theme good Presentation.pptx
hamda100
 
lesson 3 botswana (1).ppt and avery good
lesson 3 botswana (1).ppt and avery goodlesson 3 botswana (1).ppt and avery good
lesson 3 botswana (1).ppt and avery good
hamda100
 
river lesson 1 (6).pptx is saved with agreat presentation very good
river lesson 1 (6).pptx is saved with agreat presentation very goodriver lesson 1 (6).pptx is saved with agreat presentation very good
river lesson 1 (6).pptx is saved with agreat presentation very good
hamda100
 

More from hamda100 (20)

Diffractionncxcjhdcjnnjdcndkj New (1).pptx
Diffractionncxcjhdcjnnjdcndkj New (1).pptxDiffractionncxcjhdcjnnjdcndkj New (1).pptx
Diffractionncxcjhdcjnnjdcndkj New (1).pptx
 
Optical Pheno mcmknckklvmnvjmvnmenon.pptx
Optical Pheno mcmknckklvmnvjmvnmenon.pptxOptical Pheno mcmknckklvmnvjmvnmenon.pptx
Optical Pheno mcmknckklvmnvjmvnmenon.pptx
 
work and simplvbvfv cbfdvc bfve machines.pptx
work and simplvbvfv cbfdvc bfve machines.pptxwork and simplvbvfv cbfdvc bfve machines.pptx
work and simplvbvfv cbfdvc bfve machines.pptx
 
fusion_and_fission njnbjdncjdv nc bvhvbhj(1).ppt
fusion_and_fission njnbjdncjdv nc bvhvbhj(1).pptfusion_and_fission njnbjdncjdv nc bvhvbhj(1).ppt
fusion_and_fission njnbjdncjdv nc bvhvbhj(1).ppt
 
Magnetism 3123515120231354651230221-1.ppt
Magnetism 3123515120231354651230221-1.pptMagnetism 3123515120231354651230221-1.ppt
Magnetism 3123515120231354651230221-1.ppt
 
Momentum_and_Impcddcdddvdvvvvcvculse.ppt
Momentum_and_Impcddcdddvdvvvvcvculse.pptMomentum_and_Impcddcdddvdvvvvcvculse.ppt
Momentum_and_Impcddcdddvdvvvvcvculse.ppt
 
Diffraction New (1).pptxcddvdvdvdvdvdvcvdvd
Diffraction New (1).pptxcddvdvdvdvdvdvcvdvdDiffraction New (1).pptxcddvdvdvdvdvdvcvdvd
Diffraction New (1).pptxcddvdvdvdvdvdvcvdvd
 
Law of Universal Gvvdvxcvvfravitation.pptx
Law of Universal Gvvdvxcvvfravitation.pptxLaw of Universal Gvvdvxcvvfravitation.pptx
Law of Universal Gvvdvxcvvfravitation.pptx
 
Thin le c cvcvcvvcvdvdgfdvfgvfbdbgnses.pptx
Thin le c cvcvcvvcvdvdgfdvfgvfbdbgnses.pptxThin le c cvcvcvvcvdvdgfdvfgvfbdbgnses.pptx
Thin le c cvcvcvvcvdvdgfdvfgvfbdbgnses.pptx
 
HP_13_win.EMS_anvdvfdgfddfgvdfd_Reflection.ppt
HP_13_win.EMS_anvdvfdgfddfgvdfd_Reflection.pptHP_13_win.EMS_anvdvfdgfddfgvdfd_Reflection.ppt
HP_13_win.EMS_anvdvfdgfddfgvdfd_Reflection.ppt
 
Heat_in_the_Eavdvdvdvfvdvdvdfvfdvfdvfrth.ppt
Heat_in_the_Eavdvdvdvfvdvdvdfvfdvfdvfrth.pptHeat_in_the_Eavdvdvdvfvdvdvdfvfdvfdvfrth.ppt
Heat_in_the_Eavdvdvdvfvdvdvdfvfdvfdvfrth.ppt
 
Circular motion and Gravitmnjhygbjation.pptx
Circular motion and Gravitmnjhygbjation.pptxCircular motion and Gravitmnjhygbjation.pptx
Circular motion and Gravitmnjhygbjation.pptx
 
d214b121ffcb93def49e2a599d4d39bhjbjbhjbjhbjbb56.pptx
d214b121ffcb93def49e2a599d4d39bhjbjbhjbjhbjbb56.pptxd214b121ffcb93def49e2a599d4d39bhjbjbhjbjhbjbb56.pptx
d214b121ffcb93def49e2a599d4d39bhjbjbhjbjhbjbb56.pptx
 
fusion_and_fission.pptcdddfddvffgvfgdgfgfv
fusion_and_fission.pptcdddfddvffgvfgdgfgfvfusion_and_fission.pptcdddfddvffgvfgdgfgfv
fusion_and_fission.pptcdddfddvffgvfgdgfgfv
 
Character Annotations - Caliban and Ariel.pptx
Character Annotations - Caliban and Ariel.pptxCharacter Annotations - Caliban and Ariel.pptx
Character Annotations - Caliban and Ariel.pptx
 
Africa.pptxvcx cx c c cvbfvfddsdasDscvdbfgfb
Africa.pptxvcx cx c c cvbfvfddsdasDscvdbfgfbAfrica.pptxvcx cx c c cvbfvfddsdasDscvdbfgfb
Africa.pptxvcx cx c c cvbfvfddsdasDscvdbfgfb
 
Genes and Heredity new.ppkmkjijntx mnkjn
Genes and Heredity new.ppkmkjijntx mnkjnGenes and Heredity new.ppkmkjijntx mnkjn
Genes and Heredity new.ppkmkjijntx mnkjn
 
83192-Japan theme good Presentation.pptx
83192-Japan theme good  Presentation.pptx83192-Japan theme good  Presentation.pptx
83192-Japan theme good Presentation.pptx
 
lesson 3 botswana (1).ppt and avery good
lesson 3 botswana (1).ppt and avery goodlesson 3 botswana (1).ppt and avery good
lesson 3 botswana (1).ppt and avery good
 
river lesson 1 (6).pptx is saved with agreat presentation very good
river lesson 1 (6).pptx is saved with agreat presentation very goodriver lesson 1 (6).pptx is saved with agreat presentation very good
river lesson 1 (6).pptx is saved with agreat presentation very good
 

Recently uploaded

快速办理(Calabria毕业证书)卡拉布里亚大学毕业证在读证明一模一样
快速办理(Calabria毕业证书)卡拉布里亚大学毕业证在读证明一模一样快速办理(Calabria毕业证书)卡拉布里亚大学毕业证在读证明一模一样
快速办理(Calabria毕业证书)卡拉布里亚大学毕业证在读证明一模一样
astuz
 
原版制作(Newcastle毕业证书)纽卡斯尔大学毕业证在读证明一模一样
原版制作(Newcastle毕业证书)纽卡斯尔大学毕业证在读证明一模一样原版制作(Newcastle毕业证书)纽卡斯尔大学毕业证在读证明一模一样
原版制作(Newcastle毕业证书)纽卡斯尔大学毕业证在读证明一模一样
p2npnqp
 
Optimizing Post Remediation Groundwater Performance with Enhanced Microbiolog...
Optimizing Post Remediation Groundwater Performance with Enhanced Microbiolog...Optimizing Post Remediation Groundwater Performance with Enhanced Microbiolog...
Optimizing Post Remediation Groundwater Performance with Enhanced Microbiolog...
Joshua Orris
 
BASIC CONCEPT OF ENVIRONMENT AND DIFFERENT CONSTITUTENET OF ENVIRONMENT
BASIC CONCEPT OF ENVIRONMENT AND DIFFERENT CONSTITUTENET OF ENVIRONMENTBASIC CONCEPT OF ENVIRONMENT AND DIFFERENT CONSTITUTENET OF ENVIRONMENT
BASIC CONCEPT OF ENVIRONMENT AND DIFFERENT CONSTITUTENET OF ENVIRONMENT
AmitKumar619042
 
Evolving Lifecycles with High Resolution Site Characterization (HRSC) and 3-D...
Evolving Lifecycles with High Resolution Site Characterization (HRSC) and 3-D...Evolving Lifecycles with High Resolution Site Characterization (HRSC) and 3-D...
Evolving Lifecycles with High Resolution Site Characterization (HRSC) and 3-D...
Joshua Orris
 
快速办理(Manchester毕业证书)曼彻斯特大学毕业证录取通知书一模一样
快速办理(Manchester毕业证书)曼彻斯特大学毕业证录取通知书一模一样快速办理(Manchester毕业证书)曼彻斯特大学毕业证录取通知书一模一样
快速办理(Manchester毕业证书)曼彻斯特大学毕业证录取通知书一模一样
p2npnqp
 
World earth day powe point presentation 2024
World earth day powe point presentation 2024World earth day powe point presentation 2024
World earth day powe point presentation 2024
MayankShekharSrivast
 
按照学校原版(UAL文凭证书)伦敦艺术大学毕业证快速办理
按照学校原版(UAL文凭证书)伦敦艺术大学毕业证快速办理按照学校原版(UAL文凭证书)伦敦艺术大学毕业证快速办理
按照学校原版(UAL文凭证书)伦敦艺术大学毕业证快速办理
xeexm
 
Formulation of aramang baked products enriched with malunggay
Formulation of aramang baked products enriched with malunggayFormulation of aramang baked products enriched with malunggay
Formulation of aramang baked products enriched with malunggay
Open Access Research Paper
 
Climate change & action required action
Climate change &  action required actionClimate change &  action required action
Climate change & action required action
hando2845
 
Monitor indicators of genetic diversity from space using Earth Observation data
Monitor indicators of genetic diversity from space using Earth Observation dataMonitor indicators of genetic diversity from space using Earth Observation data
Monitor indicators of genetic diversity from space using Earth Observation data
Spatial Genetics
 
PACKAGING OF FROZEN FOODS ( food technology)
PACKAGING OF FROZEN FOODS  ( food technology)PACKAGING OF FROZEN FOODS  ( food technology)
PACKAGING OF FROZEN FOODS ( food technology)
Addu25809
 
学校原版(unuk学位证书)英国牛津布鲁克斯大学毕业证硕士文凭原版一模一样
学校原版(unuk学位证书)英国牛津布鲁克斯大学毕业证硕士文凭原版一模一样学校原版(unuk学位证书)英国牛津布鲁克斯大学毕业证硕士文凭原版一模一样
学校原版(unuk学位证书)英国牛津布鲁克斯大学毕业证硕士文凭原版一模一样
ehfyqtu
 
在线办理(lboro毕业证书)拉夫堡大学毕业证学历证书一模一样
在线办理(lboro毕业证书)拉夫堡大学毕业证学历证书一模一样在线办理(lboro毕业证书)拉夫堡大学毕业证学历证书一模一样
在线办理(lboro毕业证书)拉夫堡大学毕业证学历证书一模一样
pjq9n1lk
 
Download the Latest OSHA 10 Answers PDF : oyetrade.com
Download the Latest OSHA 10 Answers PDF : oyetrade.comDownload the Latest OSHA 10 Answers PDF : oyetrade.com
Download the Latest OSHA 10 Answers PDF : oyetrade.com
Narendra Jayas
 
一比一原版西澳大学毕业证学历证书如何办理
一比一原版西澳大学毕业证学历证书如何办理一比一原版西澳大学毕业证学历证书如何办理
一比一原版西澳大学毕业证学历证书如何办理
yxfus
 
原版制作(Manitoba毕业证书)曼尼托巴大学毕业证学位证一模一样
原版制作(Manitoba毕业证书)曼尼托巴大学毕业证学位证一模一样原版制作(Manitoba毕业证书)曼尼托巴大学毕业证学位证一模一样
原版制作(Manitoba毕业证书)曼尼托巴大学毕业证学位证一模一样
mvrpcz6
 
一比一原版(Glasgow毕业证)英国格拉斯哥大学毕业证如何办理
一比一原版(Glasgow毕业证)英国格拉斯哥大学毕业证如何办理一比一原版(Glasgow毕业证)英国格拉斯哥大学毕业证如何办理
一比一原版(Glasgow毕业证)英国格拉斯哥大学毕业证如何办理
aonx8o5f
 
Effect Of Temperature On Plants Development.pptx
Effect Of Temperature On Plants Development.pptxEffect Of Temperature On Plants Development.pptx
Effect Of Temperature On Plants Development.pptx
AhtshamKhan9
 
Biomimicry in agriculture: Nature-Inspired Solutions for a Greener Future
Biomimicry in agriculture: Nature-Inspired Solutions for a Greener FutureBiomimicry in agriculture: Nature-Inspired Solutions for a Greener Future
Biomimicry in agriculture: Nature-Inspired Solutions for a Greener Future
Dr. P.B.Dharmasena
 

Recently uploaded (20)

快速办理(Calabria毕业证书)卡拉布里亚大学毕业证在读证明一模一样
快速办理(Calabria毕业证书)卡拉布里亚大学毕业证在读证明一模一样快速办理(Calabria毕业证书)卡拉布里亚大学毕业证在读证明一模一样
快速办理(Calabria毕业证书)卡拉布里亚大学毕业证在读证明一模一样
 
原版制作(Newcastle毕业证书)纽卡斯尔大学毕业证在读证明一模一样
原版制作(Newcastle毕业证书)纽卡斯尔大学毕业证在读证明一模一样原版制作(Newcastle毕业证书)纽卡斯尔大学毕业证在读证明一模一样
原版制作(Newcastle毕业证书)纽卡斯尔大学毕业证在读证明一模一样
 
Optimizing Post Remediation Groundwater Performance with Enhanced Microbiolog...
Optimizing Post Remediation Groundwater Performance with Enhanced Microbiolog...Optimizing Post Remediation Groundwater Performance with Enhanced Microbiolog...
Optimizing Post Remediation Groundwater Performance with Enhanced Microbiolog...
 
BASIC CONCEPT OF ENVIRONMENT AND DIFFERENT CONSTITUTENET OF ENVIRONMENT
BASIC CONCEPT OF ENVIRONMENT AND DIFFERENT CONSTITUTENET OF ENVIRONMENTBASIC CONCEPT OF ENVIRONMENT AND DIFFERENT CONSTITUTENET OF ENVIRONMENT
BASIC CONCEPT OF ENVIRONMENT AND DIFFERENT CONSTITUTENET OF ENVIRONMENT
 
Evolving Lifecycles with High Resolution Site Characterization (HRSC) and 3-D...
Evolving Lifecycles with High Resolution Site Characterization (HRSC) and 3-D...Evolving Lifecycles with High Resolution Site Characterization (HRSC) and 3-D...
Evolving Lifecycles with High Resolution Site Characterization (HRSC) and 3-D...
 
快速办理(Manchester毕业证书)曼彻斯特大学毕业证录取通知书一模一样
快速办理(Manchester毕业证书)曼彻斯特大学毕业证录取通知书一模一样快速办理(Manchester毕业证书)曼彻斯特大学毕业证录取通知书一模一样
快速办理(Manchester毕业证书)曼彻斯特大学毕业证录取通知书一模一样
 
World earth day powe point presentation 2024
World earth day powe point presentation 2024World earth day powe point presentation 2024
World earth day powe point presentation 2024
 
按照学校原版(UAL文凭证书)伦敦艺术大学毕业证快速办理
按照学校原版(UAL文凭证书)伦敦艺术大学毕业证快速办理按照学校原版(UAL文凭证书)伦敦艺术大学毕业证快速办理
按照学校原版(UAL文凭证书)伦敦艺术大学毕业证快速办理
 
Formulation of aramang baked products enriched with malunggay
Formulation of aramang baked products enriched with malunggayFormulation of aramang baked products enriched with malunggay
Formulation of aramang baked products enriched with malunggay
 
Climate change & action required action
Climate change &  action required actionClimate change &  action required action
Climate change & action required action
 
Monitor indicators of genetic diversity from space using Earth Observation data
Monitor indicators of genetic diversity from space using Earth Observation dataMonitor indicators of genetic diversity from space using Earth Observation data
Monitor indicators of genetic diversity from space using Earth Observation data
 
PACKAGING OF FROZEN FOODS ( food technology)
PACKAGING OF FROZEN FOODS  ( food technology)PACKAGING OF FROZEN FOODS  ( food technology)
PACKAGING OF FROZEN FOODS ( food technology)
 
学校原版(unuk学位证书)英国牛津布鲁克斯大学毕业证硕士文凭原版一模一样
学校原版(unuk学位证书)英国牛津布鲁克斯大学毕业证硕士文凭原版一模一样学校原版(unuk学位证书)英国牛津布鲁克斯大学毕业证硕士文凭原版一模一样
学校原版(unuk学位证书)英国牛津布鲁克斯大学毕业证硕士文凭原版一模一样
 
在线办理(lboro毕业证书)拉夫堡大学毕业证学历证书一模一样
在线办理(lboro毕业证书)拉夫堡大学毕业证学历证书一模一样在线办理(lboro毕业证书)拉夫堡大学毕业证学历证书一模一样
在线办理(lboro毕业证书)拉夫堡大学毕业证学历证书一模一样
 
Download the Latest OSHA 10 Answers PDF : oyetrade.com
Download the Latest OSHA 10 Answers PDF : oyetrade.comDownload the Latest OSHA 10 Answers PDF : oyetrade.com
Download the Latest OSHA 10 Answers PDF : oyetrade.com
 
一比一原版西澳大学毕业证学历证书如何办理
一比一原版西澳大学毕业证学历证书如何办理一比一原版西澳大学毕业证学历证书如何办理
一比一原版西澳大学毕业证学历证书如何办理
 
原版制作(Manitoba毕业证书)曼尼托巴大学毕业证学位证一模一样
原版制作(Manitoba毕业证书)曼尼托巴大学毕业证学位证一模一样原版制作(Manitoba毕业证书)曼尼托巴大学毕业证学位证一模一样
原版制作(Manitoba毕业证书)曼尼托巴大学毕业证学位证一模一样
 
一比一原版(Glasgow毕业证)英国格拉斯哥大学毕业证如何办理
一比一原版(Glasgow毕业证)英国格拉斯哥大学毕业证如何办理一比一原版(Glasgow毕业证)英国格拉斯哥大学毕业证如何办理
一比一原版(Glasgow毕业证)英国格拉斯哥大学毕业证如何办理
 
Effect Of Temperature On Plants Development.pptx
Effect Of Temperature On Plants Development.pptxEffect Of Temperature On Plants Development.pptx
Effect Of Temperature On Plants Development.pptx
 
Biomimicry in agriculture: Nature-Inspired Solutions for a Greener Future
Biomimicry in agriculture: Nature-Inspired Solutions for a Greener FutureBiomimicry in agriculture: Nature-Inspired Solutions for a Greener Future
Biomimicry in agriculture: Nature-Inspired Solutions for a Greener Future
 

Kepler's Laws of Planetarycvcvc Motion.ppt

  • 2.
  • 3. Watch the video clip https://www.youtube.com/watch?v=N5a9npp0Qbw How does the planets around the Sun??? What are Kepler’s law of planetary motion???
  • 4. Corpenicus (1473- 1543) Planetary model proposed that Earth and other planets orbit the sun in perfect circles. The model also shows moon’s inclined orbit around Earth.
  • 5. Danish astronomer Tyco Brahe (1546-1601) had an island observatory and the best measurements of the positions for all known planets (Mercury, Venus, Mars, Jupiter, and Saturn) and the Moon. Picture of Brahe
  • 6. Austrian mathematician Johannes Kepler (1571-1630), interested in how the planets move around the sun, went to Tyco’s island to get these accurate measurements.
  • 7. At that time, many astronomers believed that planets orbited around the sun in perfect circles, but Tyco’s accurate measurements for Mars didn’t fit a circle. Instead, the mathematician Johannes Kepler found that the orbit of Mars fit an ellipse the best…
  • 8. What is an ellipse? 2 foci An ellipse is a geometric shape with 2 foci instead of 1 central focus, as in a circle. The sun is at one focus with nothing at the other focus. FIRST LAW OF PLANETARY MOTION
  • 9. An ellipse also has… …a major axis …and a minor axis Semi-major axis Perihelion Aphelion Perihelion: When Mars or any another planet is closest to the sun. Aphelion: When Mars or any other planet is farthest from the sun.
  • 10. Kepler also found that Mars changed speed as it orbited around the sun: faster when closer to the sun, slower when farther from the sun… A B But, areas A and B, swept out by a line from the sun to Mars, were equal over the same amount of time. SECOND LAW OF PLANETARY MOTION
  • 11. Kepler found a relationship between the time it took a planet to go completely around the sun (T, sidereal year), and the average distance from the sun (R, semi-major axis)… R1 R2 T1 T2 T1 2 R1 3 T2 2 R2 3 = T 2 = T x T R3 = R x R x R ( ) THIRD LAW OF PLANETARY MOTION
  • 12. T2 R2 Earth’s sidereal year (T) and distance (R) both equal 1. The average distance from the Earth to the sun (R) is called 1 astronomical unit (AU). Kepler’s Third Law, then, changes to T1 2 R1 3 T1 2 R1 3 T2 2 R2 3 1 1 = = or or T1 2 = R1 3
  • 13. Kepler’s Laws apply to any celestial body orbiting any other celestial body. • Any planet around a sun • The moon around the Earth • Any satellite around the Earth • The international space station • Any rings around any planet
  • 14. Later, Isaac Newton built upon Kepler’s Laws to confirm his own Law of Gravitation. THE RED PLANET MARS IS FOREVER LINKED TO OUR UNDERSTANDING OF THE SOLAR SYSTEM AND ONE OF THE 4 BASIC FORCES OF NATURE. If it wasn’t for Mars and its complicated travels across the night sky, Johannes Kepler may not have derived his Laws of Planetary Motion. Isaac Newton might not have had a foundation for his Law of Gravitation...