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Seems to me that either of the following could settle that issue:

Necessary and sufficient:

-- The object is in motion AND there exists a point from which

the distance to the object is constant.

Sufficient but not necessary:

-- The component of the object's position that is parallel to some

straight line is proportional to the cosine of (time + a constant).

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12y ago

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An object is in circular motion when it travels in a circular path around a central point or axis, with a constant distance from the center. The object experiences a continuous change in direction but not in speed, resulting in a circular trajectory.

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10mo ago
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Q: When do you say that an object is in circular motion?
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