How can ships travel at warp speed without crashing into planets and asteroids?

Less than 10 years ago people couldn't imagine high-quality video streamed to an object the size of your palm. Less than 20 years ago people couldn't imagine video games with 64-bit graphics. The computers that sent men to the moon were less powerful than a TI-83 graphing calculator.

Now mankind faces a new problem, "How can ships travel at warp speed without crashing into planets and asteroids?" Ships will have to use a navigation system and rely on pre-mapped star charts to set a course before every jump to hyper space. The problem is that you can't map asteroids and comets since they're always moving. The difficulty in spotting such small objects from light years away also presents a problem, since every single one would need to be mapped. Even an object the size of a pencil eraser would be able to destroy a space ship travelling at 1516 times the speed of light.