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andrezito
2 months ago
7

A planet has an average distance to the sun of 4.54 AU. In two or more complete sentences, explain how to calculate the orbital

period of the planet and calculate it.
Biology
2 answers:
lana [2.4K]2 months ago
8 0
By applying Kepler's third law of planetary motion, we understand that the square of the orbital period corresponds to the cube of the semi-major axis. Given that Earth orbits at 1 AU with a 1-year period, we can establish the ratio:
P^2 / r^3= 1
(P)^2 = 4^3
<span>P = 4^(3/2) = 8 years </span>
Rainbow [2.3K]2 months ago
6 0

Answer:

We may calculate the orbital period with the following formula:

T² = (4π²/GM)a³; where T represents Earth years, a signifies the distance from the sun in AU, M denotes the solar mass (set as 1 for the sun), and G is the gravitational constant.

In these conditions, we find that 4π²/G = 1

T² = 4.54³

T arrives at approximately 93.577 Earth years or about 34155.48 Earth days

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