Responses
The square of the ratio of the periods equals the ratio of the radii.
The square of the ratio of the periods equals the ratio of the radii.
The square of the ratio of the periods equals the cube of the ratio of the radii.
The square of the ratio of the periods equals the cube of the ratio of the radii.
The cube of the ratio of the periods equals the square of the ratio of the radii.
The cube of the ratio of the periods equals the square of the ratio of the radii.
The ratio of the periods equals the square of the ratio of the radii.
1 answer
Kepler's third law states that the square of the period of a planet's orbit (T) is directly proportional to the cube of the semi-major axis of its orbit (r). Mathematically, this is often expressed as:
\[ \frac{T_1^2}{T_2^2} = \frac{r_1^3}{r_2^3} \]
This means that the correct response is:
The square of the ratio of the periods equals the cube of the ratio of the radii.
