The data also showed the superyacht Solaris remained moored in Bodrum, some 80 km (50 miles) away, having skirted the waters of European Union countries that have sanctioned the oligarch over Russia's invasion of Ukraine.
There was no indication that Abramovich was aboard either of the vessels. He was among several wealthy Russians added last week to a European Union blacklist, and EU governments have acted in recent days to seize yachts and other luxury assets from them.
The Eclipse is reported to have two helipads, nine decks, a swimming pool and built-in missile defences.
World governments are seeking to isolate President Vladimir Putin and his allies over Moscow's invasion of Ukraine, which the Kremlin calls a "special military operation".
Last week, Abramovich flew to Moscow from Istanbul in his private jet. According to flight-tracking data it was a second trip by a jet linked to Abramovich between the Turkish city and the Russian capital in three days.
The 140-metre (460-foot) yacht Solaris, which also sails under a Bermuda flag, according to Marine Traffic, docked in Bodrum on Monday afternoon, just over a week after it left Montenegro's Adriatic resort town of Tivat on March 13.