Spheroid DroShips take damage on the side the AE comes in on. In the case of artillery, roll damage on the left or right side, whichever is facing the firing unit. In the case of bombs, again use the left or right side, whichever is facing the direction of the aero's approach. Only cluster artillery or direct hits from orbital strikes roll on the nose chart. Aerodyne ships determine hit chart in the same way grounded fighters do.
In all cases, a given AE shot will only damage one hex. If a given shot would affect multiple hexes of DropShip, only apply damage to the hex struck by the most damage. If all the hexes are equal, the DropShip's controller chooses the affected hex.