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If I make a rocket and want to reach a point in space above sea level where I don't need to burn fuel to rise, how far is that point? space or zero gravity area?

I am just trying to figure out distance where I can shut my rockets.

Put another way, how much fuel do I need, or how much distance do I need to cover so that I can orbit earth like ISS?

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    $\begingroup$ You should change your question to "Is there a point where gravity reaches zero?", or better yet; "At what point can I shut down my rockets?" Currently this question has no answer because gravity does not reach zero! $\endgroup$
    – uhoh
    Dec 27, 2017 at 21:29
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    $\begingroup$ Related, and can probably answer your question, but isn't exactly a duplicate: space.stackexchange.com/questions/7981/… $\endgroup$ Dec 27, 2017 at 21:29
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    $\begingroup$ It's not a place, but a speed called escape velocity. Once you reach that speed, you won't fall back to Earth. Escape velocity is about 11km a second, so you gotta be going pretty fast. $\endgroup$
    – zeta-band
    Dec 27, 2017 at 21:39
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    $\begingroup$ In free fall, zero gravity may be just above the ground. $\endgroup$
    – Uwe
    Dec 28, 2017 at 8:18
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    $\begingroup$ Possible duplicate of Couldn't I escape Earth's gravity traveling only 1 mph (0.45 m/s)? $\endgroup$ Dec 28, 2017 at 17:30

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There is gravity everywhere. It doesn't work so that enough far away from the Earth, there won't be gravity any more.

In Low Earth Orbit (i.e. things orbiting Earth), they are in nearly the same gravitational field as we are. For example, the ISS orbits roughly 400 km above the Earth, which is only 400/6378 $\sim$ 6.3 % farther from the center of the Earth than the surface. Since gravity scales as $1/r^2$ that means at that altitude, gravity is still about 88% as strong as on the surface.

The people of the ISS are in weightlessness because they are also flying 7.8km/s speed (around 28000 km/h). This results in a centripetal force which compensates the gravity of the Earth. This is why the ISS doesn't fall down.

Farther away from the Earth, the gravity of the Moon, or other planets, or the Sun would affect more. These are typically far lesser effects as we have on the Earth, but they still exist. Planning the trajectories of space probes, all of them should be calculated.

Thus, if you simply fly upward and shut down the engines, you will fall down. If you fly faster than 11.2km/s, then your spaceship will leave Earth and never come back. If you want to orbit Earth, you have to leave the atmosphere (around 100km height) and accelerate to the speed of at least 7.8km/s sideways around the Earth (because there is a little air even there, 300km is more practical).

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    $\begingroup$ ISS altitude is pretty close to 400km, not 300km; the effect of gravity at ISS altitude is ~88.5% of that at sea level. $\endgroup$ Dec 27, 2017 at 23:50
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    $\begingroup$ @RussellBorogove ISS fixed, 88.5% imho matches well "nearly the same". $\endgroup$
    – peterh
    Dec 28, 2017 at 1:07
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    $\begingroup$ I suggest adding the word 'sideways' to the last paragraph to emphasize that you need to accelerate orthogonal to "up". $\endgroup$ Dec 28, 2017 at 12:20
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    $\begingroup$ To put it another way, in case they don't know what "centripetal force" means: The ISS is falling towards the Earth, but it is moving sideways so fast that it keeps missing. $\endgroup$
    – MJ713
    Dec 28, 2017 at 19:54
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    $\begingroup$ "This results in a centripetal force which compensates the gravity of the Earth." is a false statement. $\endgroup$
    – Erik
    Dec 29, 2017 at 15:09

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