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Any units can be used because the 3rd law is couched in proportional terms. It's common to use astronomical units, with the Earth's distance equal to 1.

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Q: In Kepler's Third Law the semi-major axis must be in what units?
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How do Keplers 3 laws of motion combined with the parts of an ellipse explain the amount of time it takes for a planet to orbit the sun based on its length?

One of the parts of an ellipse is the length of its major axis. Half that is called the semimajor axis. Kepler's 3rd law says that the time to do one orbit is proportional to the 3/2 power of the semimajor axis. IF the semimajor axis is one astronomical unit the period is one year (the Earth). For a planet with a semimajor axis of 4 AUs the period would have to be 8 years, by Kepler-3.


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You can find the major axis, 0.5+31.5 or 32 AU. The semimajor axis is half that, 16 AU. Then you can use Keplers 3rd law to calculate the period, which is 161.5 or 64 years.


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The major axis is the diameter across the widest part. The semimajor axis is half that, and for a planet it's the average of the maximum and minimum distances from the Sun .


What does the semimajor axis of a planet with a period of 12 earth years measure?

That can be calculated from Kepler's 3rd law which says if the period is T years the semimajor axis must be T2/3 astronomical units. So for a period of 12 years the s/m axis is 5.421 AU or 784 million km.


If a semimajor axis is 2.77au what is period of Ceres years?

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The major and minor axes of a circle are the same - either is any diameter. So a semimajor axis is half the diameter which is 12 cm.


How do Kepler's 3 laws of motion combined with the parts of an ellipse explain the amount of time it takes for a planet to orbit the sun based on its length?

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Why does mercury orbit the sun first?

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Where is Makemake located in the solar system?

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