I'm having trouble keeping one of my players engaged in my game. He plays the ship's doctor, and he is one of three players that attends remotely over Google Hangouts. I currently have six players total, thee in person and three over Hangouts. Everyone else is reasonably focused and attentive, but the doctor keeps mentally checking out and will do things like surf the web and browse facebook during game until we specifically call on him, and then we have to bring him up to speed on what's happening.
I know this is generally unacceptable behavior in any game, but I feel like it's not totally his fault. He joined the campaign midstream, replacing the previous doctor who hardly ever showed up at all, so I had already plotted out adventures that didn't require having a doctor. Also, I don't write in a lot of combat in my adventures, and my players usually try to avoid combat when presented with the option. As a result, the doctor normally has very little to do. He's tried to assert himself as an adviser to the captain, but the captain doesn't do well with unsolicited advice, so the doctor tends to feel like he's not being listened to. I can't really fault the captain's player for that since she's playing a stubborn Andorian (think Shran, but with breasts and less shooty).
I plan on running a "stop the plague" or some other medical emergency type of adventure so he'll have something interesting to do, but then after that mission is over I'll be right back were I started with him. I can't fit very many adventures like that into my campaign since I'm doing more of an intrigue-based overall plot.
My wife runs a non-Star Trek game with the same group of players (she runs a Little Fears campaign, and we alternate between Little Fears and Star Trek), and this player who is a problem in my game is very attentive and active in hers. He has told her openly that he enjoys her campaign more, but doesn't fault me or think I'm doing a bad job. He's just able to find more interesting things to do in her game.
So, does anyone have any ideas on how to get the doctor more involved on a regular basis? How can I make his job more interesting than just waiting for someone to get sick or injured and then rolling to heal them? FYI: I'm running a TOS-era campaign aboard a tiny scout ship (crew complement of 14) patrolling the Romulan Neutral Zone. I'm using LUG's ICON system and TOS sourcebook.