Aragorn is less of a 'robot' than other high level admins (so to speak), and I think that out of him and Gandalf, he'd be the one who wept more when family passed on and such; I am much like Gandalf and Aragorn is much like my brother. My brother tends to be a bit more emotional, take things to heart, to be really strong willed but when things get too much, cave in and need some time to recover.
Just give Aragorn days, weeks, maybe even months, he will be back, better than before, ready to take on challenges of Argonath again...