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the width and height seem like they will work, but the depth is pretty iffy. I think its because they are measuring the base with the GPS unit.
You also have to think about reception..Idk too much about gps, but somehow you must put it somewhere that will be able to pick up some satellites.
You can't make the GPS internal, simply because you won't recieve anything, the reciever must be outside to recieve any signal at all.
I was just basing my answer on what *FuFa said:
I've ordered a GPS device so I can test it out myself when I get it. The only thing I'm worried about is that there is no way to solder on an external antenna, this could and may very well be the case