In the present paper we study Kummer surfaces in P-5 arising as projec
tions of a certain family of principally polarized abelian surfaces in
P-6. This family was introduced by ADLER. and VAN MOERBEKE in connect
ion with some Hamiltonian dynamical systems. In this paper we give exp
licit equations of the associated Kummer surfaces. This enables us to
describe their moduli space and to give the full list of degenerations
.