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Single-Particle Electrodynamics - Assassination Science

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sults to changes in the rigid body definition was mysterious, the fact that<br />

the computer algebra program did indeed return to the same answer—by a<br />

somewhat circuitous path—indicated to the author that the program was,<br />

at the least, robust.<br />

Of course, the program still relies on the author’s assumptions; no amount<br />

of robustness would counter the effects of an erroneous formulation. The<br />

reader is left to decide for themselves if the author’s framework is justifiable.<br />

G.2.2<br />

kinemats: Kinematical quantities<br />

Following the successful creation of most of the libraries required for the<br />

program radreact, the author realised that there would be little extra<br />

overhead involved in using those same libraries to verify the other, quite<br />

complicated algebraic results obtained prior to the attack on the radiation<br />

reaction problem. In particular, there were numerous kinematical identities<br />

that had been computed and extensively cross-checked by the author, on<br />

paper, that were at the time collected together into an appendix titled “Kinematical<br />

Quantities”; and there were the author’s greatly simplified explicit<br />

expressions for the retarded dipole fields, given (then, as now) in Chapter 5.<br />

Thus, the program kinemats was written to verify the kinematical results<br />

collected in the appendix “Kinematical Quantities”. It was found that all<br />

results were (as expected) correct.<br />

However, when the program radreact was nearing completion, it was<br />

found that extra kinematical results were required, over and above those<br />

originally computed. It was at this stage found most time-efficient to compute<br />

these using the (by now fully debugged) program kinemats, bypassing a<br />

manual evaluation altogether.<br />

Faced with the task of grafting these new results into the existing separate<br />

appendix, the author realised that it it would be simpler to scrap the original<br />

appendix altogether, and instead use the output of kinemats as the sole<br />

415

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