  We investigate the spatial patterns of the ground state of two interacting
Bose-Einstein condensates. We consider the general case of two different atomic
species (with different mass and in different hyperfine states) trapped in a
magnetic potential whose eigenaxes can be tilted with respect to the vertical
direction, giving rise to a non trivial gravitational sag. Despite the
complicated geometry, we show that within the Thomas-Fermi approximations and
upon appropriate coordinate transformations, the equations for the density
distributions can be put in a very simple form. Starting from this expressions
we give explicit rules to classify the different spatial topologies which can
be produced, and we discuss how the behavior of the system is influenced by the
inter-atomic scattering length. We also compare explicit examples with the full
numeric Gross-Pitaevskii calculation.
