Seriously now, in that location I have one of those stick-up battery powered led lights that look like a wall light switch, magnetically attached to that door jamb for an easy-find entry light, it also works nice for a gentle outdoor light when the door is open. (I hate bright lights, especially outdoors) The magnets it uses are more quarter size tho, not half-dollar. Also, the velcro on them will attach them anywhere you want on the ceiling of a PC, really nice over the cab seat. One of the many "as seen on tv" items worth checking out.
I use many AA/AAA powered or rechargeable fixtures, even at home, using rechargeable AA/AAA batteries for all these things, for many years now, and have saved a bunch of money on batteries by doing so. And my solar PC and home charges them for free.