The Dirac-Coulomb equation for helium-like ions is solved using the iterative
self-consistent field method, with Slater-type spinor orbitals as the basis.
These orbitals inherently satisfy the kinetic-balance condition due to their
coupling for both large- and small-components. The 1/r12 Coulomb
interaction is treated without constraints. Computations are carried out for
total energies of atoms with nuclear charges up to Z≤80 using both
minimal and extended basis sets. Variationally optimal values for orbital
parameters are determined through the Rayleigh-Ritz variational principle. No
manifestations related to the Brown-Ravenhall disease are found