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 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 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 square of orbital period is proportional to the cube of the semi-major axis.
Answers
GPT-4o mini
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 semi-major axis of the orbit.
**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 semi-major axis of the orbit.