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This is a Garmin GPS for an automobile. The DC power supply for a cigarette lighter has been used by Garmin on quite a few models in recent years and is still in use. Ours has the nasty habit of coming apart so that the fuse and the center pin come out with the retaining nut. These small parts scatter throughout the car, and render the GPS useless, unless you want to see how long it will run on the AA batteries in the unit.
It gets worse. The retaining nut can be seen hooked over a piece of paper. The threaded portion of the nut cracked and separated from the rest of the nut. Before long the fuse will not stay in place, no matter what.
Step 1The insides
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I had forgotten, but this power converter had come apart once before and I had kept it together with a piece of plastic electrical tape.
I am assuming you have a solar charger. I assume your GPS has internal batteries that can power the GPS for a period of time, but not all of the time. If your GPS can run from the internal batteries 3 or 4 hours, a charger would extend that by replenishing the batteries during use of the GPS. If the solar power was to run the GPS with little or no input from the batteries, you will need a large enough panel or multiple panels linked in parallel to supply the current load required.
Radio Shack stores once sold a cigarette lighter socket with wire leads coming from it. I looked on their web site, but am not finding that, now. Still, auto parts stores have long sold new lighter sockets for cars. (I had to replace one in my daughter's car once.) Suitable wire connections could be made to a replacement socket.
If you need to construct the solar charger, there have been some Instructables dealing with that sort of thing.
Thank you for looking and for your comment. I hope I have helped you in some way.