I think the sun is is 150 million kilometers away from Earth.
In 1596, The Cosmographic Mystery, in which he argued that the distances of the planets from the Sun in the Copernican system were determined by the five regular solids, if one supposed that a planet's orbit was circumscribed about one solid and inscribed in another.
Kepler was a mathematician who created the telescope. This affected the world, because NASA now uses telescopes to study space.
Kepler is very well known for his creation of Kepler's Laws of Planetary Motion in 1609. His inventions changed the world, because we follow the laws, and now believe and know that the Sun is the center not the Earth.