Abstract:
The relativistic effects of geodetic rotation around their axes of 10 Jupiter satellites (J4, J6, J8, J11, J12, J16, J18, J46, J49, and J62) were studied. The difference in the angular velocity vectors of geodetic rotation was demonstrated depending on the choice of coordinate reference system. As a result, the most significant periodic terms of the geodetic rotation (geodetic nutation) of these celestial bodies were determined for the first time. The resulting analytical values of geodetic nutation for the celestial bodies can be used for numerical studies of their rotation in the relativistic approximation.
Keywords:geodetic nutation, relativistic rotation, Jupiter, regular and irregular satellites.