The problem is a simple n-body problem:(adsbygoogle = window.adsbygoogle || []).push({});

there is n charged particles - electrons, protons, or other particles;

we have the initial parameters: a mass, charge, position, velocity, at a time t = 0.

In a standard (classical) numerical computation of the n-body problem I can use any numerical method based on a force, say:

F = am = k/r^2; for gravity and for the charged bodies is the same...

But I want to apply the SR model.. so, what is a difference - the force formula has other form - how is it?

The SR equation is still: E = Ek + Ep

the Ek has other form: [tex]E_k = mc^2(\gamma-1)[/tex]

and the potential Ep is the same: Ep = k/r;

but what is the force which I want to apply in every step of the simulation?

F_ij = m_i ai = ... ?

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# A Numerical simulation the n-body problem under SR model

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