Hopefully there are scientists out there that are looking for another plausible explanation for the procession of the equinoxes instead of just the wobble of the earth. As we know many scientific paradigms have changed dramatically over the course of history. To share an orbit with another star may take some time to accept and understand. If we look at how long it took to accept the idea that are earth rotates around the Sun this becomes immediately evident. i believe it is fair to say that we are still-for the most part-at odds with most modern scientific views of the procession of the equinoxes. We should remember that Sri Yukteswar attributed this backward movement of the backdrop of the stars at the equator as a result of a binary system we share with another celestial object. He never mentioned anything about the wobble of the earth as a possible cause.
See below:
Astronomy: precession of earth
The phenomenon we call "precession" was discovered by Greek astronomer Hipparchus when he compared his own circa 200 BC records with older charts.
What he saw was that the equinoxes in his day (where the sun's path crosses the celestial equator) were in a different position among the stars than the 150-year-old comparison charts showed. This is due to a gyroscopic wobble of earth's spin axis that takes 26000 years to complete.In this wobble motion, the tilt of the earth stays roughly constant at 23.4 degrees but the orientation is always changing.
One consequence of precession is that the north star Polaris is drifting. It is only "north star" by coincidence today. Vega will be our north star for a time in the distant future.
Another consequence is that precession introduces a difference between a sidereal (real) year and a tropical (by the sun) year because during the course of one year the position of the equinox changes slightly.
The physical cause of the precession is a torque (twisting) of the earth, caused mostly by the sun's and the moon's gravity pulling on the equatorial bulges of the earth. If earth were NOT spinning, the sun and moon would pull the earth so that the bulges were flat in the sun-earth orbital plane.
The planets have some gravitational influence also, but insignificant compared to the sun and moon. Still, the planets manage to cause the orbit of earth about the sun to precess, with a period of 71000 years. They also cause an oscillation in the ellipticity of earth's orbit.
http://astro.wsu.edu/worthey/astro/html/lec-precession.html