You can calculate the orbital period of a planet using Kepler's Third Law of Planetary Motion. This law states that the square of a planet's orbital period (T) is proportional to the cube of its average distance from the Sun (a).

Here's how to calculate it:

1. Kepler's Third Law Formula:

T² = a³

Where:

* T is the orbital period in Earth years

* a is the average distance from the Sun in Astronomical Units (AU)

2. Plug in the Values:

* a = 10 AU

3. Solve for T:

T² = 10³

T² = 1000

T = √1000

T ≈ 31.62 years

Therefore, the period of a planet with a solar distance of 10 AU is approximately 31.62 years.