Shee Vaneer Shrine
This shrine is located at the top of the southern Dueling Peak. As this peak is slightly higher than the northern peak, it is a bit colder. It is recommended that Link wear the Warm Doublet, or other armor to give him some Cold Resistance Level 1 so he does not take damage.
While this is not strictly a requirement, in order to solve this shrine without assistance, you must also unlock and enter the Shee Venath Shrine.
Before moving any of the orbs, ride the elevator up, and then glide around the column to the other side to open a chest (Eightfold Longblade).
From the top of the platform, you can look down and see the 5x5 grid below and where the orbs are placed. Before touching any of the orbs, you can jot down where they are currently located as you will need this information to solve the Shee Venath Shrine. Link will need to move the five orbs to specific locations, of which the solution can be found at the Shee Venath Shrine.
From top to the bottom for each row, they fit in the following columns, 2-3&5-0-4-1.
After the gate opens, climb the ladder and examine the altar to collect the Spirit Orb.