Physics 101 Introduction to Mechanics 

February 22 Applications of Newton's Laws  



Kepler's
Laws & The Motion of the Planets
Ellipses Eccentricity describes the shape of the orbit
For a closed orbit 0< e<
1 (e=0 is circular).
Kepler's first law
^{1} Too close to the sun
for observations.
BTW: No telescopes were used in collecting
Brahe's data! He collected the data so carefully that Kepler was
able to discover that planets travel in ellipses, not circles. (Keep
this in mind the next time you're in lab collecting data.) :)
For our purposes, we can approximate the orbits as
being circular. (This makes life much easier and doesn't sacrifice
too much accuracy.)
Kepler's Third Law
Now substitute in v= 2pR/ T So,
We'll examine Kepler's Second Law later, when we
discuss angular momentum.


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