By pulling together the following references I was able to construct the following graphic that shows to scale half of the 12's elliptical orbit.
Figure 1: Half of the 12th's Elliptical Orbit shown to scale.
References for source description:
- Comet Orbit
- To use multiples of the distance from your Sun to its farthest known orbiting planet, which you call Pluto, this foci is from the Sun 18.724 times as far away. ... After passing through the Solar System, the 12th Planet moves out on the opposite side some 3.560 times the distance from your Sun to its farthest planet, Pluto, then stops.
- Second Foci
- ... it stands at an angle of 11 degrees off the Earth's orbital plane around the Sun, in the same direction we have given for the approach of the 12th Planet.
- 32 Degree Angle
- here the 12th Planet approaches from Orion, it dips below the ecliptic during the years just before passage to an angle of 32 degrees below the ecliptic.
- Entry Angle
- The 12th Planet pulls down and away from your Sun only at the last minute. This is reflected in time as the last 9.7 weeks or 68 days. This is reflected in distance as 1.2598 times the orbital diameter of Pluto, or two and one-half times the distance from your Sun to this farthest known planet which you call Pluto. The shape of the deviation is parabolic at the angle of turns, in all cases. This is not exact, but for purposes of calculating an orbit is something you can work with that will be close enough. Thus, the 12th Planet starts its deviation from its straight path in a parabolic manner, but has scarcely started to turn away when its increasing speed allows it to come closer to the Sun and it does another parabolic curve back toward the Sun, essentially correcting its path again to be straight toward the Sun. When it passes the Sun, piercing the Earth's orbital plane, it has come to the point in a parabolic curve where the line is essentially straight.
- The distance of deviation from the orbital line, which is essentially a straight line toward the Sun on the approach, is not great, approximately 37 million miles. This relatively slight distance is enough to grant the 12th Planet the sharper angle it seeks. At this point the orbit of the 12th Planet has been altered, as the Sun is the only giant it is listening to. The 12th Planet maintains this line of orbit as it leaves the Solar System and travels out. In the scheme of things, this puts a slight lift in the orbit, as though the orbit between the two foci were your arm, extended out from your body, and the part of the orbit past the Sun were your hand. If you lifted your hand at the wrist slightly, a 21 degree lift, you would simulate what the 12th Planet's orbit is doing at this point. The 12th Planet maintains this deviation until it again passes your Sun, the second pass. It does not find it necessary to pull away from the Sun on this second pass, as the angle is correct to begin with.