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© ABCC Australia 2015 new-physics.com
THE ELLIPTICAL ORBITS OF
JOHANNES KEPLER
Cosmic Adventure 3.06
© ABCC Australia 2015 new-physics.com
Tyco Brahe
Although Copernicus
was already dead, there
were a growing number
of opponents, among
whom Tyco Brahe
(1546-1601) was the
strongest one since he
himself was also an
established astronomer.
© ABCC Australia 2015 new-physics.com
Johannes Kepler
Brahe had gathered a lot of
astronomical data in order to
prove Copernicus wrong, never
knowing that these data would
help Copernicus instead.
It was because these data were
later used by Brahe’s student
Johannes Kepler (1571-1630)
with whom Brahe was not
getting along well.
© ABCC Australia 2015 new-physics.com
Problematic Job
In order to keep Kepler away
from his major work, Brahe
assigned Kepler a
problematic job of the
planet Mars so that he
himself could concentrate on
forming his theory of the
solar system.
© ABCC Australia 2015 new-physics.com
Elliptical orbit round the sun
After a long struggle,
Kepler finally realized that
the orbits of the planets
were not the circles
prescribed by Aristotle but
assumed implicitly by
Copernicus. They were
instead "flattened circles"
that geometers call ellipses.
Planet’s elliptical orbit
© ABCC Australia 2015 new-physics.com
Heliocentre
What is more, Kepler further
found that the model would
match the observed
planetary positions better if
the Sun is placed at one
focus of elliptical planetary
obits. This would provide
significantly increased
accuracy in predicting the
position of the planet.
Sun
© ABCC Australia 2015 new-physics.com
Earth Removed from Centre Position
As a student Kepler had been a
believer in Copernicus’
heliocentric theory. It is not hard
for him trying to project the
image of Mars to that of the
Earth and did likewise
calculations. In such a situation,
the earth will be moving and is
dislodged from its position as
the centre of the universe. Heliocentre
Geocentre
© ABCC Australia 2015 new-physics.com
Kepler’s first 2 laws of
planetary motion
In Epitome Astronomiae
Copernicanae published in
1909, Kepler presented a
heliocentric model of the
solar system in which all the
planets have elliptical orbits.
This was also the first Kepler’s
law of planetary motion.
© ABCC Australia 2015 new-physics.com
Kepler’s Second Law
The second law was
published along with the
first one. It stated that
planets farther away from
the sun will move slower,
and vice versa when
closer. The planet will
sweep over equal areas in
equal amount of time.
One
month
One
month
Equal
areas
© ABCC Australia 2015 new-physics.com
Kepler’s 3rd Law
In 1619, 10 years after the
appearance of his first two laws,
Kepler published his third law of
planetary motion. It stated that the
square of the orbital period (time
for one orbit) varies in proportion
to the cube of the orbit’s size.
Kepler's work enabled the
heliocentric solar system model of
Copernicus to accurately match and
predict planetary positions on the
zodiac for many centuries.
𝑃= Period in years
𝑎 = semi-major axis
© ABCC Australia 2015 new-physics.com
Too Far a Step Forward
Pre-Copernican thinkers definitely could not conceive of an earth in
motion and its disappearance from the centre of the universe. What
Kepler had thought of was so bold an imagination that they would have
never dreamed of.
However Kepler's ideas were
not immediately accepted.
Galileo, for example,
completely ignored Kepler's
work.
© ABCC Australia 2015 new-physics.com
Kepler’s Book Prohibited
The church also placed Kepler’s work on the
index of prohibited books despite Kepler being
a Protestant.
© ABCC Australia 2015 new-physics.com
The Establishment of Heliocentrism
Although prohibited at the time,
the superiority of Kepler’s
discovery marked a great advance
in the history of astronomy, making
a great step forward in the way of
understanding of the Universe.
When the heliocentric model was
later established, astronomers
were able to accurately match and
predict planetary positions on the
zodiac for many centuries.
The cosmologies of Aristotle and
Ptolemy were finally abandoned.
© ABCC Australia 2015 new-physics.com
GALILEO’S TELESCOPIC ASTRONOMY
To be continued in Cosmic Adventure 3.07

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CA 3.06 Kepler's Elliptical Orbits

  • 1. © ABCC Australia 2015 new-physics.com THE ELLIPTICAL ORBITS OF JOHANNES KEPLER Cosmic Adventure 3.06
  • 2. © ABCC Australia 2015 new-physics.com Tyco Brahe Although Copernicus was already dead, there were a growing number of opponents, among whom Tyco Brahe (1546-1601) was the strongest one since he himself was also an established astronomer.
  • 3. © ABCC Australia 2015 new-physics.com Johannes Kepler Brahe had gathered a lot of astronomical data in order to prove Copernicus wrong, never knowing that these data would help Copernicus instead. It was because these data were later used by Brahe’s student Johannes Kepler (1571-1630) with whom Brahe was not getting along well.
  • 4. © ABCC Australia 2015 new-physics.com Problematic Job In order to keep Kepler away from his major work, Brahe assigned Kepler a problematic job of the planet Mars so that he himself could concentrate on forming his theory of the solar system.
  • 5. © ABCC Australia 2015 new-physics.com Elliptical orbit round the sun After a long struggle, Kepler finally realized that the orbits of the planets were not the circles prescribed by Aristotle but assumed implicitly by Copernicus. They were instead "flattened circles" that geometers call ellipses. Planet’s elliptical orbit
  • 6. © ABCC Australia 2015 new-physics.com Heliocentre What is more, Kepler further found that the model would match the observed planetary positions better if the Sun is placed at one focus of elliptical planetary obits. This would provide significantly increased accuracy in predicting the position of the planet. Sun
  • 7. © ABCC Australia 2015 new-physics.com Earth Removed from Centre Position As a student Kepler had been a believer in Copernicus’ heliocentric theory. It is not hard for him trying to project the image of Mars to that of the Earth and did likewise calculations. In such a situation, the earth will be moving and is dislodged from its position as the centre of the universe. Heliocentre Geocentre
  • 8. © ABCC Australia 2015 new-physics.com Kepler’s first 2 laws of planetary motion In Epitome Astronomiae Copernicanae published in 1909, Kepler presented a heliocentric model of the solar system in which all the planets have elliptical orbits. This was also the first Kepler’s law of planetary motion.
  • 9. © ABCC Australia 2015 new-physics.com Kepler’s Second Law The second law was published along with the first one. It stated that planets farther away from the sun will move slower, and vice versa when closer. The planet will sweep over equal areas in equal amount of time. One month One month Equal areas
  • 10. © ABCC Australia 2015 new-physics.com Kepler’s 3rd Law In 1619, 10 years after the appearance of his first two laws, Kepler published his third law of planetary motion. It stated that the square of the orbital period (time for one orbit) varies in proportion to the cube of the orbit’s size. Kepler's work enabled the heliocentric solar system model of Copernicus to accurately match and predict planetary positions on the zodiac for many centuries. 𝑃= Period in years 𝑎 = semi-major axis
  • 11. © ABCC Australia 2015 new-physics.com Too Far a Step Forward Pre-Copernican thinkers definitely could not conceive of an earth in motion and its disappearance from the centre of the universe. What Kepler had thought of was so bold an imagination that they would have never dreamed of. However Kepler's ideas were not immediately accepted. Galileo, for example, completely ignored Kepler's work.
  • 12. © ABCC Australia 2015 new-physics.com Kepler’s Book Prohibited The church also placed Kepler’s work on the index of prohibited books despite Kepler being a Protestant.
  • 13. © ABCC Australia 2015 new-physics.com The Establishment of Heliocentrism Although prohibited at the time, the superiority of Kepler’s discovery marked a great advance in the history of astronomy, making a great step forward in the way of understanding of the Universe. When the heliocentric model was later established, astronomers were able to accurately match and predict planetary positions on the zodiac for many centuries. The cosmologies of Aristotle and Ptolemy were finally abandoned.
  • 14. © ABCC Australia 2015 new-physics.com GALILEO’S TELESCOPIC ASTRONOMY To be continued in Cosmic Adventure 3.07