I agree with others that this is a really cool idea, and also really hard! I was pretty much fully concerned with defending my ship rather than collecting scrap, and even then I wasn't doing a great job of it. I imagine if I were to spend long enough working at it I might be good enough to make a real run of it though, and that it would feel really good to beat!

The grapple mechanics have a lot of oomph to them they are SO satisfying.

That said, I feel the difficulty ramps up a bit too quickly, after the initial phase of idly collecting the scrap I soon found myself completely overwhelmed by meteors with no time to save up enough scrap to repel them or heal the ship. Especially since you need to first upgrade your scrap capacity a couple of times, to even be able to afford either of these vital purchases (at their base price, which then also ramps up).
I also found maneuvering around the ship rather difficult. 

With that said I do have to emphasize, slamming into meteors and chaining from one to another was IMMENSELY SATISFYING.

I'm also impressed you managed to make a rather good 3D within those time constraints. Oh and your ship model is really nice too.

TL;DR Fun game, wish it was a bit easier ^^;

Nice job! I was a little confused by the health being the main ship, rather than my own, but once I figured that out the game was a lot more fun. cool use of the theme. It was a little difficult to manage both the  top and bottom areas of the ship, I almost feel like it would work even better as a 2D game rather than a 3d one, because that tether mechanic is awesome, but a little frustrating when trying to move from the bottom of the ship to the top quickly.  Also as has already been said below, if there was a way to make it more initially obvious that the asteroids are good to smash into that would make that first attempt a little more addictive. I actually missed the instruction the first time through, so that might just be on me though.

Good job and best of luck!

It's really wonky, it seems like the concept is the strong but I couldnt get anything to control smoothly even after a few tries.