johannes kepler
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Johannes Kepler. “ Astronomia Nova”. Title Page Astronomia Nova. Note the Greek: “ Aitiologitos ”. Kepler’s view of the Solar System (from Mysterium Cosmographicum ). Outermost is ‘sphere of Saturn’ It has a cube inscribed within it Inside the cube is the sphere of Jupiter - PowerPoint PPT PresentationTRANSCRIPT
Johannes Kepler
“Astronomia Nova”
Title PageAstronomia
Nova
Note the Greek:
“Aitiologitos”
Kepler’s view of the Solar System
(from Mysterium Cosmographicum)
Outermost is ‘sphere of Saturn’
It has a cube inscribed within it
Inside the cube is the sphere of Jupiter
It has a tetrahedron inscribed within it
Inside is the sphere of Mars
Etc.
(NB: this model is for the Copernican system!)
First Law:
Law of Ellipses
One of the foci is the Sun
What about the other one?!
Second Law:
Law of Areas
3 months at Aphelion will trace out the same area as 3 months at Perihelion
A Bit of Taxonomy
Bisected portion of the Major Axis is the “Semi-Major Axis”
We’ll need this for the next law
Third Law:
Law of HarmonyThe law states that:
The ratio of the square of the revolutionary period for every planet is equal to the ratio of the cubes of the semi major axes
HUNH?
In other words, there is a precise correlation between the sidereal period (squared) and the average distance from the sun (cubed) and it is the same for every planet!