You technically don't need to read the email to talk to Cora, although this step will then be marked as failed.
Read email from Cora Edit
Speak with Cora on the TempestEdit
Take Cora to speak with Hydaria on EosEdit
Hydaria says that the asari ark was hunted by kett elite forces aiming to capture the defenseless ark. Sarissa evidently gave an evacuation order. Many on the ark were killed and some managed to escape. The location of the ark is unknown. However, a ship named the Periphona was launched from the ark to help those who escaped. Hydaria suggests that Ryder follow the ship's transponder signal, and gives the transponder codes and flight plan to Ryder. The trail leads to the angaran planet Voeld.
Go to Voeld to track the Periphona's signalEdit
When driving eastwards from the angaran Voeld base, at some point a signal from the Periphona is detected.
Find the PeriphonaEdit
Go to the map marker. There is no trace of the Periphona there. SAM concludes that ice and minerals are reflecting the signal.
Find the source of the Periphona's signalEdit
SAM puts four markers on the map. Some of them lead to other reflected signals. You have to search until you find the right location. There will be kett at the correct point, so clear them out.
Find the Periphona's transponderEdit
Scan the transponder and then interact with it. There is a recording from the Periphona's captain indicating the ark was attacked by the kett. The flight recorder is in bad shape, but with time, valuable data about the ark's flight path could be discovered.
You receive 29 AVP, 1330 XP, and 2% Voeld viability.
ON HOLD: Wait for Cora to decipher the transponderEdit
The mission is set On Hold while the restoration work is going on.
Cora will have deciphered the transponder after Ryder has landed on Kadara Port, and then at any time has returned to the Tempest and completed the meeting called by Drack, and finally walks close to the email terminal on the Tempest, when Ryder is notified about new email.
The mission is completed, and the follow-up mission Cora Harper: At Duty's Edge begins.