It's possible that he read it from Harry's mind. Snape is a powerful legilimens, does not believe that anything is cheating when he has to win, Harry had no protection or even deep knowledge of the technique, had to have been thinking of the answer, and hadn't thought to avert his gaze until later.
That said, Severus is more in tune with the Muggle world than most others in the setting, and in Chapter 61 we see Dumbledore treat him as an expert source on muggle technology :
"Severus?" the old wizard said. "What was it actually?" "A rocket," said the half-blood Potions Master, who had grown up in the Muggle town of Spinner's End. "One of the most impressive Muggle technologies."
Later in Chapter 18, we also see the phrase "Common sense is often mistaken for legilimency." Especially as a potions master and someone who retained an interest in muggle chemistry into adulthood, Snape does have more reason than most wizards to know this information. Harry also tends to overestimate both his knowledge, and both he and Quirrel tend to assume the victories of others come from innate differences rather than simple changes in planning or knowledge.
On the other hand, had Snape known that information, it would also mean he could have ended the world accidentally. Dunno what to make of that.
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The Starkiller Base is described as a hyperspace weapon, while the target locations were (supposedly) all in one location, and Expanded Universe physics allow bleedoff of energy or physical interaction between objects moving within hyperspace and normal space (though never for anything interesting to my knowledge). This is kinda goofy, but you're in a Star Wars setting so it's not unreasonably so.
On the other hand, the use of planets to pull the projectiles out of hyperspace doesn't really make sense with how the Falcon breaks through the base's shields, so they don't do a terribly good job of staying with or explaining those rules in the film, and it's horrible at actually passing the impact of what is supposed to be billions of people dying.
I wasn't too put off by the protagonist's Mary Suedom, since she's Corran-Horn level at worst, but agreed with most of the other complaints and frustrations. It's also worth pointing out how extremely unsurprising the film is; even with the vast lows of the Expanded Universe, it picked not from its best moments and ideas but from many of its most unremarkable and boring.