17. an asteroid orbits the sun at a distance of 2.7 au. what is its orbital period?

T = 4.44 years.

Explanation:

The third law, also known as harmonic or period, relates the periods of the planets, that is, what it takes to complete a round around the Sun, with its middle radii.

For a given planet, the square of its orbital period is proportional to the cube of its average distance from the Sun. That is,

T^2=k⋅r^3

Where:

T: Period of the planet. Its unit of measure in the International System is the second (s)

k: Proportionality constant. Its unit of measure in the International System is the second squared cubic meter match (s2 / m3)

r: Average distance to the Sun. Due to the properties of the ellipse, it is satisfied that its value coincides with that of the semi-major axis of the ellipse, a. Its unit of measure in the International System is the meter (m)