By Musa Daji Abdullshi
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Extra resources for Electrodynamics for a Particle Accelerated to the Speed of Light with Constant Mass
26) 1+ = 2 −r 2 nmr c dt dt dt where κ = e2/16πεo. 26) is the mixed differential equation of revolution of the particle in an orbit through angle ψ. 27) 2 ncL dψ dψ nL If u = (A/n)exp(yψ) is a solution for the nth orbit, the auxiliary equation y2 + 2by + 1 = 0, with b = κ/ncL. 29) r n nL2 where the amplitude of the excitement A/n and phase angle β are determined from the initial conditions α is the’ rotation factor’ and α2 = 1 – b2. The steady state is mκ/nL2, obtained after many cycles of revolution.
53), may explain the “fine structure”  of the spectral lines of radiation from the hydrogen atom, without considering relativistic effects, electron spin or quantum mechanics. This is a new and exciting development. org/wiki/Kepler%27s_laws_of planetary_motion Andrew Hyman; "A Simple Cartesian Treatment of Planetary Motion, European Journal of Physics, Vol. 14 (1993), pp. 145-147. R Christianson; On Tycho's Island: Tycho Brahe and His Assistants, 1570-1601, Cambridge University Press (1999), Olaf Pedersen and Mogens Pihl; .
An experiment may be performed to test this result by having a narrow pulse of electrons, accelerated to the speed of light (or almost to the speed of light) c, made to enter a decelerating field. The electrons being stopped at all and turned back in their track, invalidates special relativity. This is the litmus test of validity of radiational electrodynamics, as advanced in this paper. 6 References        16 P. Lenard; Great Man of Science, G. , London (1958), pp. 36 – 39.
Electrodynamics for a Particle Accelerated to the Speed of Light with Constant Mass by Musa Daji Abdullshi