I checked data for uranyl nitrates. I did not found data for anhydrous salt. All hydrates I found show the same coordination of UO2, hence the picture for dihydrate, though nice, is wrong. But another isomer of UO2(NO3)2(H2O)2 exists. It was found for polymorph of trihydrate in 2003.
In inorganic nomenclature, kappa in the name of a polydentate chelate complex indicating single ligating atom attachments of a polyatomic ligand to coordination centre. Hence both isomers represent "kappa, kappa" or kappa2 chelate. Two torsional isomers sketched by Jdurg represent (one) kappa complexes.