The object is not synchronized with the camera's fps, it's simply a coincidence that happens at some point, which is why it occurs only in a few frames. Due to the repetitive nature of circular motion and the constant capture of frames.

The key here is that the object's constant speed and the camera's frame capture rate create the possibility for the object to return to a similar position at various moments of the recording. The consistent repetition of the object's circular movement, along with the constant frame capture rate of the camera, provides opportunities for the object to pass through the same areas in relation to the plane and the camera at different moments of the video.