Question

From the formula for the beat frequency: discuss whether planets that are closer to Earth or...

From the formula for the beat frequency:

discuss whether planets that are closer to Earth or farther away from Earth will have a longer time between alignments. Also, is there a minimum time? If so, which planet would have the most times it would align with Earth?

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Answer #1

The beat frequency formula is:

If, the planet is close to the Earth, the beat frequency would be less in magnitude, because the Earth and planet will come to their mean position must faster, compared to the planet which is far.
Therefore, if the beat frequency is less, it signifies that the planet and Earth is closer and if beat frequency value (magnitude) is large, than the planet and Earth is far from each other.

The minimum time can be determined by the formula , using the f_beats value of nearest planet.

the farthest planet would take maximum times to be in alignment with Earth, i.e. Neptune

Upvote, if the answer was helpful. Have a nice and safe day.

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