## Math in the Physical Sciences## Astronomy and Math |

## How do astronomers determine the distances to other planets? |

Astronomers need mathematics, of course, to determine the distances to the planets and satellites of our solar system. One of the first astronomers to work this out was Nicolaus Copernicus (see above) using simple observations of planetary positions.

One of the earliest methods to determine such distances was to use the orbital period of a planet. This varies as the square root of the cube of the distance from the Sun: T = k × r^{(3/2)}, in which T is the time for one revolution, r is the distance between the centers of the Sun and the planet, and k is a constant.