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2-5 Renaissance “naissance” = “birth”PowerPoint Presentation

2-5 Renaissance “naissance” = “birth”

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### 2-5 Renaissance“naissance” = “birth”

The belief that the cosmos is ultimately understandable slowly emerges again

Revival of art

The Birth of Venus, Botticeli, 1485

Lady with an ermine, Vinci

The creation of the planets, the Sun and the Moon, Michelangelo

A time of conquests and adventure

Magellan’s travel around the Earth: 1519

Europe was ready for the birth of modern science

Young Frankenstein

Giordano Bruno (1548 – 1600)

Early champion of the heliocentric model: “the Sun, not the Earth, is the centre of the universe”

Also believed:

In the existence of inhabited planets

That the universe is infinite

But before all, dreamt of a radical reform of Christianity

Bruno went to Rome to convince the Pope himself!

?

1600: Bruno was burnt by the Holy Inquisition

Often portrayed by scientists as a martyr of science

Nicolas Copernicus (1473 – 1543)

Priest interested in mathematics and astronomy

Understood that stellar parallax is not observed because stars are too far

Goal: to predict the position of the planets

Ptolemy’s geocentric model

Very complex calculations !

Copernicus proposed a simplified mathematicalmodel in which the Earth was orbiting the Sun

He could reproduce the retrograde motion of Mars in very simple manner

Like in a car race, the Earth is sometimes overtaking Mars, giving us the impression that Mars is moving backward

Copernicus also deduced that the nearer a planet is to the Sun, the greater its orbital speed

Mercury orbits at a higher speed than Mars

Which planet has the smallest orbital speed? Sun, the greater its orbital speed

Jupiter

Earth

Mercury

Copernicus was a priest and had no intention to contradict the Scriptures

He did not claim his model described the actual motion of the Earth. It was just a mathematical trick.

Nevertheless, he chose to publish his the ScripturesDe Revolutionibusafter his death

His model: no better accuracy than Ptolemy’s => was not widely accepted until more than a century

People were not ready to believe that the Earth was moving the Scriptures

They argued that if the Earth were rotating, we would feel its motion

At that time, logical reasoning had more weight than any piecesobservation or experiment

Anyway astronomers had no telescope…

Tycho Brahe pieces(1546 – 1601)

Born three years after Copernicus’ death

Established a fine astronomical observatory on the North Sea island of Hven

He made a continuous record of the position of the Sun, Moon and planets for almost 20 years

Found that the predictions of Ptolemy’s model were inaccurate

Tycho measuring the altitude of a celestial object, 1587

Five planets orbiting around the Sun and planets for almost 20 years

He believed in a modified geocentric model

Sun

Earth

Moon

All planets orbit around the Sun but the Earth!

In 1597, Brahe’s patron the Danish King Frederick II died and planets for almost 20 years

Brahe had to find a new job…

He became court astronomer to the Emperor Rudolf of Bohemia, in Prague, Austria

There he met a diligent assistant: Johannes Kepler

Kepler and planets for almost 20 years(1571 - 1630)

Theology student

Became convinced that all the planets are actually orbiting the Sun

Brahe was reluctant to give full access to data to Kepler, fearing his bright assistant would discover the secret of the universal motion

When Brahe died, Kepler got full access to Brahe’s records, that he studied for more than 20 years

At the age of 38, he finally published his first results

Kepler’s first law fearing his bright assistant would discover the secret of the universal motion

The orbit of a planet is an ellipse fearing his bright assistant would discover the secret of the universal motion

ecliptic

top view

Sun

planet

How to draw an ellipse? fearing his bright assistant would discover the secret of the universal motion

Position of the Sun

Focus

Focus

Eccentricity of an ellipse: e fearing his bright assistant would discover the secret of the universal motion

An ellipse which does not differ much from a circle is not “very eccentric”

e is close to zero

An ellipse which is very elongated has an eccentricity close to 1

Very similar to a circle its shape?

Caution: same orbit seen from two different points of view

Top view

Side view

a: semimajor axis of an ellipse its shape?

Semimajor axis

Kepler’s second law axis?

A planet:

Speeds up as it comes closer to the Sun

Slows down as it moves away from the Sun

Lowest speed

Highest speed

Sun

Sun axis?

Earth axis?

Kepler’s third law axis?

P: orbital period (time needed for one revolution), in years

a

a: semimajor axis, in AU

a3 = P2

The farther away a planet, the smaller its speed, and the longer it takes to orbit the Sun

Mercury longer it takes to orbit the Sun

Closer to the Sun

Farther away from the Sun longer it takes to orbit the Sun

Jupiter

Kepler knew the orbital periods of the planets (P) longer it takes to orbit the Sun

He could estimate the distance from each planet to the Sun (a), in AU

This was a nice model, but yet it did not explain why the planets were orbiting the Sun

Meanwhile, a genius was at work in Florence, Italy…

Self assessment longer it takes to orbit the Sun

11 - Which planet takes the longest time to orbit the Sun? longer it takes to orbit the Sun

R) Earth

S) Mars

T) Venus

U) Mercury

Answers longer it takes to orbit the Sun

NUMISMATICS

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