Could an impact crater make a world habitable?

For most of us, meteors are by far the ultimate planet killers. All it takes is one direct hit to suddenly wipe all life from the face of a world. But, rather than taking life away from a planet, what if a meteor impact is the reason that the world is habitable in the first place?

In the story I'm writing, humanity discovers a habitable exo-world known as Elysium. It's an Earth-sized rocky moon orbiting elliptically around a Saturn like gas giant (known as Aphrodite) that is just over 4 times the mass of Jupiter.

Elysium is well outside of the habitable zone of it's binary parent stars. But the moon's surface is kept nice and warm thanks to a giant impact crater that dominates it's face (known as the Cinder Fields).

Although the crater should have cooled and sealed up thousands of years ago, the tidal force of Aphrodite on the moon's surface has kept it open and hot, warming up the planet's atmosphere and surface through the Cinder Fields.

Could a world like this actually work in real life?

• Quibble: I would need to check, but off hand I think a planet with just over 4x the mass of Jupiter would collapse into a star under its own gravity. Jun 16, 2016 at 2:06
• @JoelHarmon Fortunately, that's not the case. The lower limit of a brown dwarf (not even a star) is about 13 $M_J$, while the least massive stars are about 80 $M_J$. Jun 16, 2016 at 2:12
• @HDE226868 Success! I learned a thing today. Thanks. Jun 16, 2016 at 2:15
• Nevertheless, 4xJ would not be Saturn-like. As gas giants get more mass, they don't tend to grow much in diameter, they just get denser. Jupiter has many times the density of Saturn, and a 4xJ planet would have even higher density but not necessarily be much larger physically. Mind you, it does depend on what the author means by "Saturn-like"? Jun 17, 2016 at 15:13
• @Simba By Saturn-like, I mean a planet with a smoother, more uniform looking atmosphere and a spectacular, large ring system. In a way, a lot like the one in my profile picture. Jun 18, 2016 at 16:35