Greg Neill, one of the readers of sci.astro who has regularly commented on Nancy's postings has done an analysis of the supposed trajectory that Nancy says her planet will follow as it approaches the Sun. He has prepared this material as mini-essay using MathCad and Adobe Acrobat to create a PDF file. With Greg's kind permission, I provide some of the text of his presentation here (edited to fit into HTML), as well as a link to the PDF file. (You can download a free Acrobat reader if you need it at http://www.adobe.com/products/acrobat/readstep.html)
By G. Neill
[extracted from the PDF file. To see all the graphs and text, download and view the PDF file.]
One of the Zeta-Minions by the name of Robert (RGrant53@aol.com) has seen fit to post a table of purported distances between PX and Earth at times leading up to "passage". This table offers an opportunity to take a closer look at what passes for orbital dynamics in the Zeta world. The following table contains the data from the website: http://www.zetatalk.com/theword/tword03a.htm The value corrections offered by sci.astro poster Ricky Bennett to the distance values in the week 1 line of the table have been incorporated.
We (can) pull the values from the first and last column of the table, that is, the time in weeks and distance in billions of miles and call them T and D. It will be convenient to have T counting up rather than down, so we set the time=0 point to be the time of the first table entry and adjust the remainder of the time values accordingly. In this way, "passage" occurs at T = 182 weeks from the starting point.
We can fit a polynomial curve to the data. It looks like a 5th order polynomial will do quite nicely. More instructive is the plot of acceleration versus distance. This reveals the nature of Zeta Gravity. Recall that Newtonian gravity works on an inverse square principle, so that the acceleration is inversely proportional to the square of the distance. Let's see what PX does: Figure 4.
The acceleration versus distance for PX shows that it behaves very strangely indeed, as a nearly linear function of distance. Note that the rate of change in acceleration with distance seems to decrease as it gets nearer. Figure 4 shows that the acceleration varies almost linearly with distance from the Sun, rather than the inverse square form we would expect. Note also that the Zeta accelerations are several orders of magnitude greater than those produced by the Sun, and that the Sun's influence is nowhere to be seen in the curves for the Zeta data.
The inbound PX has yet another trick up its sleeve, too. A plot of its velocity versus the escape velocity for bodies orbiting the Sun at equivalent distance reveals that PX is consistently traveling at velocities orders of magnitude greater than escape velocity, yet we are to believe that it is in a bound orbit and will swing around the Sun in a matter of weeks.