Question

mars has an orbital period of 1.88 years. in two or more complete sentences, explain how to calculate the average distance from mars to the sun, and then calculate it.

Answer 1

The average distance from Mars to the Sun is 227,990,400 km.

Step-by-step explanation:

By Kepler`s 3rd Law:

The square of the orbital period of a planet is directly proportional to a cube of semi-major axis of its orbit:

T² = R³

T = 1.88

1.88² = R³

3.5344 = R³

R = ∛ 3.5344 = 1.524 A U

1 Astronomic Unit = 149,600,000 km ( or the distance: Earth to the Sun )

1.524 * 149,600,600 = 227,990,400 km

The average distance from Mars to the Sun is 227,990,400 km.

Answer 2

By Kepler`s 3rd Law:
The square of the orbital period of a planet is directly proportional to a cube of semi-major axis of its orbit:
T² = R³
T = 1.88
1.88² = R³
3.5344 = R³
R = ∛ 3.5344 = 1.524 A U
1 Astronomic Unit = 149,600,000 km ( or the distance: Earth to the Sun )
1.524 * 149,600,600 = 227,990,400 km
The average distance from Mars to the Sun is 227,990,400 km.