Akinbo,
Newtons seems a pretty good approximation, but the discrepancies further out can be better modelled by the Yukawa (or 'screened Coulomb') potential which has a slightly sharper cut off and doesn't theoretically go on 'forever'. Insofar as the dark matter halo distribution has been 'mapped' it corresponds excellently. The peak potential at the shock then 'transforms' to the 'next frame out' (i.e. ECI to Barycentric inertial system).
The LT is the Lorentz Transformation, which is the main difference given in Special Relativity. It describes the 'hockey stick' curve, insignificant at low speeds then exponentially increasing as the 'relativistic' effect approaching c. The curve then goes 'ballistic' to infinity at 0.9999999% of c (known as 'gamma', denoted 'y'). In SR it's interpreted as implemented by smoke, mirrors, partial time derivatives, virtual particles, geometry and magic. In the Discrete Field Model a combination of two well known 'plasma' effect provide an underlying mechanism. Essentially the same mechanism recovers (at last!) Snell's Law at Maxwell's near/far field transition zone.
Plasma's normal state is at rest, like any other particle, and at normal energies except when moving relatively, as the Nixey essay shows, described there as 'temperature' but noted as not understood. The DFM resolves this by the normal old fashioned Raman atomic scattering by condensed conjugate pairs. There's confision as particles are "ionised" when very hot, 'making' plasma (as at the shuttles nose on re-entry). I'll talk you through 'OB mode' later.
I'm in the APS Plasma Physics Group. It took me many years to get up with and ahead of the game with plasma. Once Hannes Alfven won his Nobel prize (1970) all headed elsewhere trying to win their own so it was ignored. Don't try learning from Wikitrashaganda. Just a few of hundreds of relevant links I have; The first and second are very important, about the 'two-fluid' plasma structure valid at shocks and the TZ, and ISRS.
http://www.aa.washington.edu/research/cfdlab/docs/shumlak_apsccp2004.pdf
http://pra.aps.org/abstract/PRA/v86/i6/e062307
Journal of Geophysical Research: Space Physics, 118; doi: 10.1029/2012JA018351.
http://sci.esa.int/science-e/www/object/index.cfm?fobjectid=51315
doi:10.1088/0741-3335/34/13/030
http://arxiv.org/ftp/arxiv/papers/0912/0912.0856.pdf
http://arxiv.org/pdf/1107.0457v2.pdf
http://arxiv.org/abs/1204.0874
http://sci.esa.int/cluster/51988-cluster-discovers-steady-leak-in-earth-plasmasphere/
http://www.ann-geophys.net/31/1143/2013/angeo-31-1143-2013.html
http://arxiv.org/abs/1304.3633