Heavily oxidized paint can be restored to like new condition if there is enough of it left to rub, buff and polish...
That being said, there are tons of products on the market that will do the job.
The biggest concern you will have is if there is enough material left to bring back the shine.
I would start with a good soap and water washing then use the mildest product (maybe a wax/polish) and test in a couple of fairly inconspicuous areas.
Areas most directly exposed to the sun re going to be more "worn out" than others.
No matter what you do, there will always be the possibility of breaking thru the paint to whatever is underneath, either primer, older colors or the aluminum underneath.
At which time you have three choices, live with it, respray, or strip to bare aluminum.
I would work by hand exclusively. Even though it will be much more time consuming, it will give you more control over the amount of material you remove.
Machine polishing should be left to those with the experience, although, they too, can break through the finish...
Best of luck and be sure to let us know how things work out.