Star Trek: The Next Generation: Do Comets Dream‪?‬

Every five thousand years, so the people of the planet Thanet believe, the world ends in fire and a new cycle of creation begins. Now the Last Days are once again upon them, and a fiery star draws near. This is the Death-Bringer, the Eater of the World, whose coming heralds the end of all things....
But to Captain Picard and the crew of the Starship Enterprise™; the Death-Bringer appears to be nothing but a rogue comet, easily destroyed. Picard faces a difficult dilemma: how can he save the Thanetians' rich and intricate civilization without destroying the very beliefs upon which their culture is based?

This quandary is challenge enough, yet the captain's position becomes even more complicated when Deanna Troi discovers that, incredibly, the comet is alive!