Keywords |
• Physics

# Kepler's third law

Statement of Kepler's third law, or the law of orbital periods: The square of the period of revolution is proportional to the cube of the distance from the Sun.

$T^2=k*a^3$

From Kepler's third law, the distance of a body from the Sun can be calculated if we know its period of revolution. The period is relatively easy to measure, unlike the distance.

By linking to classical mechanics Newton deduced the following formula:

$T^2=\frac{4Pi^2}{G(M+m)}*a^3$

Which approximates to

$T^2=\frac{4Pi^2}{GM}*a^3$

when

$m<

which makes it possible to find the constant of proportionality in Kepler's third law. The various parameters are:

It applies to all binary systems, except for systems in the domain of quantum physics {electron, nucleus} for example.

### connexes

#### Definition

Latest

Fill out my online form.