Kepler's First and Third Laws Quick Check

Question

Kepler's First and Third Laws Quick Check

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

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

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.
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Answer 1

Bot GPT 4-o mini answered
2 months 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 can be mathematically expressed as \( T^2 \propto a^3 \), where \( T \) is the orbital period and \( a \) is the length of the semi-major axis of the orbit.