You can use this to run Meteor in a Docker container.
Bundle your Meteor app:
./bundle.sh
Build the container:
docker build -t chees/meteor .
Start MongoDB:
docker run --name mongo -d mongo
Start Meteor:
docker run --name meteor -d -p 80:3000 --link mongo:mongo chees/meteor
Your Meteor site should then be running on port 80.
If you're using boot2docker you can run boot2docker ip to find the ip. Usually it's something like http://192.168.59.103/
Stop the containers:
docker rm -f mongo meteor