The first time I did the mission, I did both Orbitals, in the proper order. When I replayed the mission, I ignored them, since I had the accolade. HOWEVER, the second one still had an F dialog open - no ship icon, but the F button. It didn't work, but it did show up as the closest thing on my tricorder's scan. It looks like, if you miss the first one, the second one doesn't work. Either they should both just work, or the second should only activate after the first one fires.
Well, something's wrong. Because they aren't working at various points for no apparent reason. I assumed since I noticed the second one, that it was order specific. It worked the first time for me though, so whatever.