Corellia Datacron Locations

Labor Valley  
Color Red
Stat Boost +4 Strength 
Codex Entry Galactic History #82: Darth Traya's Return 
Map Coordinates -2755, -2005 
Details To begin with get on top of an overhang sail at -2900, -2075, the sail is attached to a bent pipe you can climb, then wait for the Sith fighter to move in. Hop onboard and let it carry you to the other side of the yard. From the scaffold at -2800, -2075  down onto the containers to the east then continue onto the second set of containers. You can use the crane moving up and down to climb on top of the stack and then onto the roof to the south.

You should be able to see the halo of the Datacron at this point, if not it is roughly in the middle of the roof on top of a 1-stack container. There is a beam on the west side of it that you can climb.

Derelict Service Area 
Color White
Stat Boost MATRIX SHARD
Codex Entry Galactic History #62: The Great Sith War Ends
Map Coordinates -2426, -72 
Details Travel to the Labor Valley and head to the South East corner. The road will lead to a light blue colored wall. Drive through the wall. There are some mixed regular, hard, and elite mobs. All but one group can be skipped by a level 50, the one that can't is a group of 5 regular mobs. Follow the only path up and around to the outside. You'll see the halo of the Datacron. Run up to the large crate, jump up the boxes to get atop and collect your reward. 

Blastfield Shipyard (Republic Only!)
Color Purple 
Stat Boost +4 Willpower
Codex Entry Galactic History #79: The Conclave at Katarr
Map Coordinates 703, 1718
Details From the Southeast corner, run along the side of the building, under the metal platform and jump onto a beam that goes east. From there look for the Datacron in the southern area in the open. 
 

Incorporation Island (Empire Only!)
Color Purple
Stat Boost +4 Willpower
Codex Entry Galactic History # <post on forums if you can complete this>
Map Coordinates -2404, -57 
Details Go to the ledge @ -2295, -35. Looking down, to the east a hovering mining cart with a rock under is moves from east to west and another from west to east. When the on that goes east to west is under the ledge, drop down onto it (it's quite a fall and may take a few attempts to get on it). Ride it till you come to the tram support. Drop down on to the support and you'll find the Datacron. 

Labor Valley 
Color Orange
Stat Boost +4 Cunning
Codex Entry Galactic History #81: The Battle of Telos Four
Map Coordinates -2662, -3115
Details Go to -2467, -3098 and you will see a hill made of rubble. Climb up the slanted piece of metal onto the building's awning. Follow the wall of the building all the way around and walk up the tube onto the toppled tower which broke the walkway into two pieces. The datacron is in the walkway on the right. You have to carefully fall into in from above. 

Axial Park 
Color White 
Stat Boost MATRIX SHARD
Codex Entry Galactic History #43: The Great Droid Revolution 
Map Coordinates 412,-1830 
Details NOTE: You need the MGS from Alderaan for this mission!
Go to the vendor directly south of Tarlarn Outpost and buy the MGS. Then, go to the Larantha Dam @ (2164, -1992).

Go to Coronet Zoo and precede to 752, 34 and pick up the Red Crystal(used for +10 datacron on imperial fleet). It will be in a box sorrounded by yellow mobs. Then continue to the Museum at 412,-1830. When inside turn right to the elevator and go to the rooftop shuttle pad, Jump onto the shuttle and its Right wing. Jump down and follow the house roof east untill you see a magnetic stabilizer, Use the MGS to hook your way to the other side. (Note that it may bug, If so try to jump before the wire comes out of the MGS) Continue south-east trough the tunnel and you will arrive at the datacron.