Gravitomagnetic effects in Kerr-de Sitter space-time

We explicitly worked out the orbital effects induced on the trajectory of a test particle by the the weak-field approximation of the Kerr-de Sitter metric. It results that the node, the pericentre and the mean anomaly undergo secular precessions proportional to k. We used such theoretical predictions and the latest observational determinations of the non-standard precessions of the perihelia of the inner planets of the Solar System to put a bound on k getting k <= 10(-29) m(-2). The node rate of the LAGEOS Earth's satellite yields k <= 10(-26) m(-2). The periastron precession of the double pulsar PSR J0737-3039A/B allows to obtain k <= 3 x 10(-21) m(-2). Interpreting k as a cosmological constant Lambda, it turns out that such constraints are weaker than those obtained from the Schwarzschild-de Sitter metric.