Originally Posted by sbrower

This MAY BE a very tight connection. Many Eagle flights (most? or even all?) arrive at a remote terminal. So you need to get off your plane and walk to a line for a bus to the terminal. Sometimes the bus is sitting at the door, practically empty, and it leaves right after you step on. Sometimes the wait can be 5-10 minutes (feels like a longer time). The actual bus ride ranges from about 4 minutes to about 10 minutes depending on how many airplanes you need to stop for and how many other buses are waiting to unload. Then you need to walk from the middle to Terminal 4 to the Bradley International terminal (unless you are lucky and your flight is departing from Terminal 4 - unusual, but it happens). Then you need to walk to your gate.

Regarding the timing of the door closing, the answer is that if the flight is leaving on time the doors will almost always be closed 10 minutes before. And, while there are exceptions, you should assume (98%+) that they will NOT hold the flight, even if you are just 1 or 2 minutes late.