Kepler
is very important to the story of gravity because in 1609
he published a book that really got people thinking about
the subject all over again.
Using his own
observations of the heavens and those made by Tycho Brahe,
he saw that Mars couldn't move around in circles as Copernicus
had thought previously. It was moving in a flattened circle
called an ellipse!
Kepler came
up with three laws that would help both Galileo
and Newton
in the future.
These were:
1) When a planet
goes round the Sun, it moves in closer then away again. In
an ellipse.

2) When a planet
gets nearer the Sun it speeds up.
3) Planets further
away from the Sun take longer to go round than those that
are further in.

Kepler
knew that some sort of "force" was acting on the
planets and suspected it must be the Sun. He thought that
the force was magnetism but Newton
worked out what the force actually was.
Astronomers
were finally beginning to look at the universe in a more rational
way and this in turn, would eventually lead to the space missions
of the 1960s becoming a possibility.
In the
meantime Galileo was working on experiments that would later
help Newton with his "discovery".