In molecular dynamics (MD) simulations, and many particle-based simulations, the electrostatic forces between atoms is evaluated using Coulomb's Law.
Coulomb's Law is not valid for moving charged particles, as it violates the Electrostatic Approximation (i.e. ignores the magnetic field generated by their movement).
How is using Coulomb's Law justified for these simulations of moving charged particles? Presumably the error is very low, but is there a way to quantify this?