  The simple symplectic triple systems over the real numbers are classified up
to isomorphism, and linear models of all of them are provided. Besides the
split cases, one for each complex simple Lie algebra, there are two kinds of
non-split real simple symplectic triple systems with classical enveloping
algebra, called unitarian and quaternionic types, and five non-split real
simple symplectic triple systems with exceptional enveloping algebra.
