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Stop right there
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Same thing for Earth, it can only be at one place at anytime, creating a huge window for any asteroid to missed earth. And when it missed, it must loop around and orbit the sun, multiple times, increasing the chance of it got caught in Jupiter's gravitational well, which is a pretty massive distance.
Orbital mechanic is crazy and make no sense for a peasant like me. You would think hitting the sun is the easiest thing but It's actually really hard to launch something into the sun. And would require an enormous energy to do so.
Ever wonder why don't we just launch our nuclear waste into the sun? I thought so too and do some Google search about it. It was an interesting read.
I'm pretty sure I remember reading that Jupiter's "protector" status might also be overblown, as it actually sends asteroids into the inner solar system as well.