From the Official Website

https://nerc.marinefacilitiesplanning.com/programme

You might need to scroll around to find the ships on the world map

From the Marine Traffic Website

This information is provided by automated equipment and depends upon the ships being in range. Sometimes there will be nothing here.

RRS Discovery

https://www.marinetraffic.com/en/ais/home/shipid:198814/zoom:14