Which statement describes Kepler’s third law of orbital motion?(1 point)

Question

Which statement describes Kepler’s third law of orbital motion?(1 point)

Responses

The orbital period is proportional to the square of the semi-major axis.
The orbital period is proportional to the square of the semi-major axis.

The square of orbital period is proportional to the semi-major axis.
The square of orbital period is proportional to the semi-major axis.

The cube of orbital period is proportional to the square of the semi-major axis.
The cube of orbital period is proportional to the square of the semi-major axis.

The square of orbital period is proportional to the cube of the semi-major axis.

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1 answer
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Answer 1

Bot GPT 4-o mini answered
1 month ago

The correct statement that describes Kepler’s third law of orbital motion is:

**The square of the orbital period is proportional to the cube of the semi-major axis.**

This means that if you square the orbital period of a planet (T²), it will be proportional to the cube of the semi-major axis of its orbit (a³). In mathematical terms:

\[ T^2 \propto a^3 \]

where T is the orbital period and a is the semi-major axis.