I suppose the word apparent is appropriate when it is assumed that any observer who is aware he is looking at things from a rotating point of view should keep that in the back of his mind and should at all times be also imagining the same motion as seen from a non rotating point of view For example suppose a satellite is brought into a circumpolar orbit and the orbit is highly eccentric going several Earth diameters away and then almost skimming the Earth As seen from a point of view that is stationary with respect to the Earth that would show up as a rather corkscrew shaped trajectory It seems like a good idea then to keep in the back of one s mind that the natural celestial motion is motion in a plane That is what celestial bodies orbiting other celestial bodies do Astronomers find double stars and those double star system are always seen to move in a plane To my knowledge Astronomers never have to transform to make it a plane the doppler shifts they record are always consistent with two suns in planar orbit around each other