Any gravitational perturbation of Earth's spin precession or orbital motion around the Sun will be inversely proportional to the cube of the distance to the perturbing object, and proportional to the mass of the object. For a nearby star such as Alpha Centauri, my order of magnitude estimate is about 10^-11 times that of Jupiter. For a distant star like Canopus, knock it down another factor of some tens of thousands, despite the greater mass. I think we can safely disregard these effects as vanishingly small.

A superluminous star like Canopus will last only about 10 million years or so. It will not last even one galactic orbital period, let alone the 50 or so the Sun will enjoy.

Even during its short lifetime, the observed proper motion of Canopus, though small, will carry it many degrees from its present position relative to the Sun.

Robert Tulip's OP looks like the product of a vivid imagination, nothing more. It would be right at home with Pythagoras and his merry band of numerologists a couple of millenia ago, long before any dynamic theory of stellar and planetary mechanics had been developed.