Most researchers on the Nibiru subject will automatically assume we are dealing with a smaller celestial object and that the trajectory will represent a common Kepler-like orbit. I contend the situation at hand is quite the opposite. The binary twin of our Sun, Nemesis, is likely from the beginning a slightly heavier star which at one time collapsed into a Neutron star. With this in mind, Nemesis is expected to be smaller than our Sun in size, but with a higher density none the less.
If Nemesis would have been born from the same solar system as the Sun, then we might expect to see the stars in a pretty standard elliptic around each other. However, the ancients clearly tell us the Nemesis star (called Marduk) came in from the outside and thus was captured, or maybe, it captured the Sun. From where did Nemesis arrive? Most likely from the Centauri system, where it had been in orbit with the major star Alpha Centauri A. It is not farfetched to relate periodic bombardment of Earth from asteroids happening every 26,000 years, to the Solar System orbiting the Centauri system.
What did the capture look like? Let's describe this as a metaphor: Imagine two cars moving towards each other on a highway. They pass each other, fairly close, but not very close. The driver in each car has a thought; "Wait, don't I know this person from somewhere?" And so they slow down to move back and have a look. The driver in the Nemesis car attempts to turn around but the road is narrow so he shifts the car into reverse, moving back. When the cars meet again they pass each other closer than before and continue on a more curved path. The result will be a steady orbit, but a rather peculiar one.
From the Nemesis perspective, we will see the star passing by Sun at some distance. The ancients called it "at the station of Jupiter", which means "in the orbit position of Jupiter". The star moves in from under the ecliptic but will continue up for some time because it is moving at high speed. Then at the highest point, it will slow down to a near standstill. There it will reside as "Hyperborea", the Night Sun, being attached to our Sun with a mystical "rainbow cord", likely an electrical plasma connection.
Finally, after more than 800 years above the ecliptic, Nemesis starts to descend again. It now passes by the Sun in the vicinity of Earth and Venus, continuing down into the dark "abyss". This is my current assessment of the orbit: Nemesis stays 892 years above the ecliptic and dwells for 2769 years under the ecliptic. The total orbit adds up to 3661 years, which resembles the secret cuneiform number "Shar" of the Sumerians. Not 666 as it was wrongly interpreted at first, but rather as 3661, derived out of the "60 based" number system they used.
At the lowest position of Nemesis orbit, something extraordinary happens; the star tilts and reverses its magnetic poles. Having contracted into a Neutron star, the protons and electrons of its matter have merged to neutron particles, hence the star classification. Each neutron acts as a small magnet; in tandem, the particles will create one enormous super magnetic star. Based on this, we can easily see how the entire Solar System will follow the command of Nemesis, the ruler King.
As we mentioned earlier, Nemesis never turned at its highest position, it merely reversed and moved back. Thus we learn that major pole shifts of planets only occur once every 3661 years, which is traumatic enough. The rotation of Nemesis is also affected at the lowest orbit position. The rotation continues but since the entire star tilts, the rotation will end up reversed. This will influence the planets of the Solar System when Nemesis draws nearer. As for Earth, it cannot merely do a Pole Shift on the spot. It has to initially make the rotation come to a halt, then the Pole Shift will occur.
Precession of the Equinoxes
From the image above, we can deduce that the orbit is not complete in its entirety; there is a shift in the angle when Nemesis passes close to the Sun on the way back. So when does Nemesis return to its "starting point" again? This happens when Nemesis has completed no less than 12 total orbits around the Sun. The image below shows a simple diagram of the Nemesis trajectories.
The diagram shows how the ecliptic has shifted by 30 degrees after each completed orbit of 3661 years. Moving up from the ecliptic, Nemesis only shifts the ecliptic by some 6 degrees. The major shift happens when Nemesis returns from above, passing closely to the sun; this shift completes the "Precession process" by adding another 24 degrees to the ecliptic shift. The Precession mentioned here is of course the "Precession of the Equinoxes", which affects the entire Solar System, not only the Earth. One may note here that the shifting in the Precession of the Equinoxes are completely detached from the process of Pole Shifts, which deals with changes in axis tilt concerning individual planets. The Precession of the Equinoxes are a mechanism in regards to solar entities only.