If planet A is three times as far from planet C, then the period of its orbit will be __ times as long.

I may be wrong, but I think you're trying to say that Planet-A is 3 times as far from the sun as Planet-C is.
If that's the real question, then the answer is that the period of Orbit-A is about*** 5.2*** times as long as the period of Orbit-C .
Orbital period ≈ (proportional to) (the orbital distance) ^ 3/2 power.
This was empirically demonstrated about 350 years ago by Johannes and his brilliant Kepple, and derived about 100 years later by Newton from his formula for the forces of gravity.

Answered by AL2006 | 2024-06-10

Using Kepler's Third Law, if planet A is three times as far from planet C, then the period of its orbit will be the square root of 27, which is approximately 5.2 times as long. ;

Answered by akriti3545 | 2024-06-24

If Planet A is three times as far from Planet C, then its orbital period will be approximately 5.2 times longer than that of Planet C.
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Answered by AL2006 | 2024-12-03