we saw the first photo of Saragika from the DRDO brochure recently. I think the sagarika would be a sea launched cruise missile different from prithvi. Its carriage tube on the TEL
was too thin to accomodate the fins of the prithvi (they are fixed fins, not flip-out).
its dimensions would be like a brahmos from the pic. perhaps its just a name for the land attack extended range version of brahmos.

Sagarika is the PJ-08 and is a ballistic missile. It does not carry the Prithvi III designation. The Dhanush is the Prithvi based missile.

TJ