The Second Hyperspace Core was found in the wreckage of an unknown starship in the Great Wastelands. It was known that it was as powerful and as capable as the Far Jumper used by the Bentusi. Even when unpowered, it has an energy signature that rivals Kharak's sun.
After extensive modifications it was mounted on the Hiigaran flagship - Sajuuk's Wrath. After successful bombardment of the Taiidan Homeworld, the Galactic Council demanded that the Hiigarans immediately turn the core over to the Bentusi, who were sent to confiscate the core. The Hiigarans agreed, however when the Bentusi jumped in to capture the core, the whole hiigaran navy attacked the Bentusi. After a long battle only Sajuuk's Wrath and Bentus were left. When the Sajuuk's Wrath's sublight engines were destroyed, its captain jumped towards the Angel Moon, destroying the ship.
It is unknown how the Core was transported onto the Khar-Toba, but it is known that it was used to power the city built around the ship's wreck, in the middle of the Great Banded Desert, until one day it stopped working and the city was abandoned and buried under the sand.
At some point, at least 1000 years before its discovery by the Kushan, the hyperspace core began to malfunction and caused severe issues for ships passing through and near the Kharak system. These issues ranged from pulling in vessels and causing them to crash to pulling an entire fleet of frigates into hyperspace and materialising them under the surface of Kharak. A notable vessel destroyed in this manner was a Taiidan carrier in the process of deploying an orbital weapon in Kharak's orbit, presumably for the purpose of preventing the exiles from returning to space. The Core remained forgotten until 1106 KDS, when Leykab Jaraci accidentally found a huge metal object while analyzing the data tape of a malfunctioning Viin Cal radar satellite. Before it was confirmed to be the Khar-Toba, it was known as the Jaraci Object.
The Kushan sent two expeditions to find the metal object. The first, Operation Skaal Brii, was a failure, the second, Operation Khadiim, successfully found the ship/city and recovered the Core from inside it in 1110 KDS. The Core was sent to Tiir in 1112 KDS and after extensive repairs and modifications, it was mounted onboard the Kushan Mothership in 1216 KDS. After the Kushan had completed their journey to Hiigara, the Core was moved to a Museum in Assaam Kiith'sid, the new capital, according to Karan S'jet's wishes. When war with the Vaygr was unavoidable, the Core was moved to Tanis Station and later used onboard the Pride of Hiigara, and later on, it was rejoined with the First and the Third within Sajuuk to finally become part of the Trinity.