There were two seperate trials. The first one was in June 1941 (which really calls into question the notion of TP being on Rhine Ubung). During the June shoots TP's radar suite was incomplete with no aft radar, or even the optical rangefinder, fitted. The June shoots showed up defects in the Gunnery and firecontrol systems, so the TP was sent back to the dock yard to have these addressed during July and Aug. I don't know the details of the defects. The second gunnery trials was in Sept 1941. When TP returned from the dock yard the radar fit was revised. There was a new DeTe haus fitted ontop of the foretop position and it now had the FuMO27's fitted to all three large rangefinders. Moreover, the FuMO27's had the additional equipment fitted to the receiver arrays for lobe switching, indicating blind fire capability. The direct data transfer from radar to the firecontrol systems was a feature of the 1940 radar models (FuMO27).
You will not find such detailed records pertaining to radar. It was simply forbidden in most cases by the strict secrecy protocols. Many of the technical records of Naval Ordnance Command were kept at Kiel and were destroyed by Allied bombing. Most of the KM personal who knew such details were killed during the bombings. Some of the OKM records were kept at Berlin and survived the war but these records are not that detailed. Private records kept by various commands and private firms were ordered destroyed at the end of the war. Some GEMA/KM records did survive but are in the hands of private indviduals now. The reason they survived was because von Willisen simply kept many of them in the boot of his Mercedes, and nobody thought to look for them there. But more importantly, his private secretary, Frau Rhein, saved them or knew where they were located and turned them over to von Kroge in the 1960s after von Willisen's death. On the Prinz Eugen documentation and manuals were provided to the USN technical personal but they declined to even look at them, and did not take them.
Entering a night sea battle is an awesome business.The enveloping darkness, hiding the enemy's.. seems a living thing, malignant and oppressive.Swishing water at the bow and stern mark an inexorable advance toward an unknown destiny.