Answer: 5.808 AU
Step-by-step explanation:
According to Kepler’s Third Law of Planetary motion “The square of the orbital period of a planet is proportional to the cube of the semi-major axis (size) of its orbit”.
(1)
Talking in general, this law states a relation between the orbital period
of a body (moon, planet, satellite, comet) orbiting a greater body in space with the size
of its orbit.
However, if
is measured in years, and
is measured in astronomical units (equivalent to the distance between the Sun and the Earth:
), equation (1) becomes:
(2)
Knowing
and isolating
from (2):
(3)
(4)
Finally:
