Voyager 1 avoided crashing into Jupiter by using a specific gravitational trajectory
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NASA mission documentation and physics primers confirm that Voyager was placed on a precise trajectory that allowed it to make a close flyby of Jupiter while utilizing the planet's gravitational field without colliding with it.
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the right time, the spacecraft would have reached aphelion near Jupiter's orbital distance (about 5 AU or 750,000,000 km from the Sun). Their perihelion would have been around Earth's orbital distance (1 AU or 150,000,000 km), and they would have remained in that orbit until a planet or something else caused it to change.
But of course their launch time was planned so that Jupiter coasted by at just the right time. The spacecraft felt Jupiter's gravity and started falling toward it. The spacecraft's velocity brought it close behind Jupiter in its solar orbit, but not close enough to impact. As Voyager climbed "up" away from Jupiter, it slowed down again with respect to Jupiter, eventually reaching the same speed it had on its way in.
How It Works
From Jupiter's point of view, the situation is similar to a bicyclist speeding up going downhill into a valley, then slowing down again on the uphill part of the road.
In the vector diagram at left, the situation is simplified to two dimensions. You can see the magnitude and direction of the spacecraft's velocity on its way in towards Jupiter in the lower right. At the upper left, you can see that the accelerating force of Jupiter's gravitation has made a significant change in the direction of the spacecraft's velocity, but not in its magnitude . (These represent velocity at "infinity," from Jupiter, that is, before and after being noticeably changed by Jupiter's presence.) Near the middle of the diagram, the long arrow shows that there's a significant, but temporary, increase in the magnitude (speed). Note these speeds are all with respect to Jupiter.
To look at the same phenomenon in terms of a cyclist, V IN shows the cyclist approaching a downhill grade into a canyon. V OUT shows that the cyclist slowed down again at the top of the ensuing uphill grade (of course this cycling analogy asks us to ignore air friction and vehicle friction, etc., which are virtually absent in the spacecraft's case). Indeed, after negotiating
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