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We consider the inverse scattering problem at fixed and sufficiently large energy for the nonrelativistic and relativistic Newton equation in ℝ  n  ,   , with a smooth and short-range electromagnetic field ( V , B ). Proceeding from different known results we obtain, in particular, that the scattering map at a fixed and sufficiently large energy uniquely determines ( V , B ) when  B  is assumed to be zero in a neighborhood of infinity and  V  is assumed to be spherically symmetric in a neighborhood of infinity.

On inverse scattering at fixed energy for the multidimensional Newton equation in a non-compactly supported field