I read this story more than 40 years ago, but I think it was already old at that time.
There was a shipwreck near a very small celestial body, with very low gravity. The survivors wanted to fall on that body, because there was a small but permanently manned station there and they would get help. But because of the low gravity, the damaged ship did not fall, but stayed in orbit. But even though the ship's systems are dead, the survivors find a roundabout trick to push the ship into that body, slowly enough for them to survive the crash and they do get help in the end.