I Prospect for deposits of Ice and visible metals.
Fee is just wandering the asteroid. Mainly looking for interesting and or shiny things.
The asteroid, though small compared to a lot of things in space, is still pretty huge when you're on the surface of it. It'd probably take several hours to circumnavigate it, perhaps even more that 24 going around the lengthier end of the potato. There's a lot of surface to explore.
Fee, having set out while Zero was helping with the solar panels, has a bit of a head start. The surface probably isn't to exciting for the most part, being a dusty, uneven place of dull brown and grey, but after heading towards a visible lump for a bit, she finds a large fissure or crater, containing something much shinier than the surroundings. Looks like a deposit of some kind of ice, about an hour's walk from the capsule.
Zero heads out in a different direction. This not being an M-type asteroid, metals on their own are pretty unlikely, but about 45 minutes from camp, he finds a moderately sized crater, with something black poking out of the dust at the bottom. Looks like there could be a fair-sized, intact iron meteorite buried there, though there'd be no wave of excavating it to check at the moment.
I am hoping for a better home, you know, free of the prejudices and lies of the old one. There is little left for me back there now anyway.
Anyway, once we can, setting up additional solar panels so we have less energy restraints is a good plan.
Interface with the pod systems to determine if there is anything wrong, then scan nearby space for anything using the Radar.
Everything seems just as nominal as before the landing. In fact, moreso, now that the solars are at a better position. The surrounding space seems clear for now, though you're realizing that the asteroid blocks you from seeing anything on the other side of it.