Single-Particle Electrodynamics - Assassination Science

G.2 Description of the programs
There are five computer algebra programs, written by the author, that have
been used in the preparation of this thesis: radreact, kinemats, retfield,
test3int and checkrs.
A brief description of each program, and the reasons for its existence,
follow.
G.2.1
radreact: Radiation reaction
When the author first made an attack on the radiation reaction calculations
of Chapter 6, he expanded the Taylor series (2.84) to two fewer orders than
now appear. This was sufficient to compute the electric charge radiation
reaction self-force—i.e., the Lorentz calculation, corrected by the author with
the gravitational redshift factor;—and, while more algebraically complicated
than the naïve Lorentz model of Galilean rigidity, the expressions involved
were not overly onerous.
The successful correction of the Lorentz derivation led to plans of its
extension to the dipole moments. The first stage, of course, was the computation
of the explicit retarded fields from the dipole—now presented in
Chapter 5; this had not, at the time, yet been performed. Once it was
found that they were obtainable in a reasonably simple form, the radiation
reaction calculations were begun. It was immediately clear that, due to the
1/R 3 rather than 1/R 2 variation of the static fields, an extra order would be
required in the calculations. This was begun.
During this task, further comtemplation revealed that the only practical
way of computing the gradient dipole forces—other than the unpalatable
prospect of computing the retarded four-gradients explicitly, and painfully
trying anew to simplify them—was by including yet another order of ε in the
retarded field expressions, and then using the explicit r d and r s (and hence
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