Rolling body pendulum bearing, particularly for supporting gyroscopic systems of a gyrocompass, with - a rotational body (14, 18) with a convex outer surface section that is partially spherical relative to the first axis, which section is formed in mirror symmetry relative to a first symmetry plane extending substantially transversely to the first axis, - a first hollow body comprising a first hollow chamber that holds the rotational body (14,18) in the region of its partially spherical outer surface section, the hollow chamber having a first opening on a first end face, a second opening on a second end face lying opposite the first end face and a concave inner surface section that is partially spherical relative to a second axis and lies between these two openings (4, 6), and which is formed in mirror symmetry relative to a second symmetry plane extending substantially transversely to the second axis, wherein the first symmetry plane and the second symmetry plane are able to pivot about a common intersecting line and the first axis and the second axis are able to pivot about a common pivot point lying opposite each other substantially on the intersecting line, the central point of the partially spherical outer surface section of the rotational body, the central point of the partially spherical inner surface section of the first hollow body and the pivot point substantially coincide and a first intermediate space is formed between the partially spherical outer surface section of the rotational body and the partially spherical inner surface section of the first hollow body, - rolling bodies running in the first intermediate space, a first cage arranged in the first intermediate space and holding the rolling bodies, and - a first stop, which the first cage or at least one adjacent rolling body abuts in a maximum pivoting position of the rotational body (14, 18), - wherein the location and design of the rotational body (14, 18), of the first hollow body, of the rolling bodies and of the first cage are such that the rolling bodies still remain substantially inside the first intermediate space in the maximum pivoting position of the rotational body (14, 18), characterised by - a second stop provided on the rotational body (14, 18) in the region adjacent to the first stop, which impacts against the first cage and/or at least against an adjacent rolling body simultaneously when the rotational body (14, 18) is located in the maximum pivoting position in relation to the second axis. - a rotational body (14, 18) with a convex outer surface section that is partially spherical relative to the first axis, which section is formed in mirror symmetry relative to a first symmetry plane extending substantially transversely to the first axis, - a first hollow body comprising a first hollow chamber that holds the rotational body (14,18) in the region of its partially spherical outer surface section, the hollow chamber having a first opening on a first end face, a second opening on a second end face lying opposite the first end face and a concave inner surface section that is partially spherical relative to a second axis and lies between these two openings (4, 6), and which is formed in mirror symmetry relative to a second symmetry plane extending substantially transversely to the second axis, wherein the first symmetry plane and the second symmetry plane are able to pivot about a common intersecting line and the first axis and the second axis are able to pivot about a common pivot point lying opposite each other substantially on the intersecting line, the central point of the partially spherical outer surface section of the rotational body, the central point of the partially spherical inner surface section of the first hollow body and the pivot point substantially coincide and a first intermediate space is formed between the partially spherical outer surface section of the rotational body and the partially spherical inner surface section of the first hollow body, - rolling bodies running in the first intermediate space, a first cage arranged in the first intermediate space and holding the rolling bodies, and - a first stop, which the first cage or at least one adjacent rolling body abuts in a maximum pivoting position of the rotational body (14, 18), - wherein the location and design of the rotational body (14, 18), of the first hollow body, of the rolling bodies and of the first cage are such that the rolling bodies still remain substantially inside the first intermediate space in the maximum pivoting position of the rotational body (14, 18), - a second stop provided on the rotational body (14, 18) in the region adjacent to the first stop, which impacts against the first cage and/or at least against an adjacent rolling body simultaneously when the rotational body (14, 18) is located in the maximum pivoting position in relation to the second axis.