Lense–Thirring precession and gravito–gyromagnetic ratio

The geodesics of bound spherical orbits i.e. of orbits performing Lense–Thirring precession, are obtained in the case of the Λ term within the gravito-electromagnetic formalism. It is shown that the presence of the Λ -term in the equations of gravity leads to both relativistic and non-relativistic corrections in the equations of motion. The contribution of the Λ -term in the Lense–Thirring precession is interpreted as an additional relativistic correction and the gravito–gyromagnetic ratio is defined.