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Strictly speaking, there is no such thing as an end to Earth's atmosphere: An atmosphere doesn't technically end at any given height, but becomes progressively thinner with altitude. Also, depending on how the various layers that make up the space around the Earth are defined (and depending on whether these layers are considered as part of the actual atmosphere), the definition of the edge of space could vary considerably: If one were to consider the thermosphere and exosphere only part of the atmosphere and not of space, one might have to place the boundary to space as high as about 10,000 km (6200 miles) up. It is quite reasonable to state that attaining a height of 100 km is escaping the Earth's atmosphere, as spacecraft at this altitude cannot rely on it anymore for weight support or propulsion. Perhaps more importantly, the FAI's definitions regarding the boundary to space are internationally accepted.
Another hurdle to strictly defining the boundary to space is the dynamic nature of Earth's atmosphere. For example; at an altitude of 1000 km, the atmosphere's density may vary by a factor of five, depending on the time of day, time of year, AP magnetic index, and recent solar flux.
The FAI apparently doesn't itself use the precise words "boundary to space" or "edge of space"; the FAI uses the term "Kármán line" or speaks of a "100 km. altitude boundary for astronautics", as also reflected in their following two definitions (quoted verbatim from their website):
Also see the article on the Kármán line under External links below, which has an excellent explanation on how this boundary was determined.
Some people (including the FAI in some of their publications) also use the expression "edge of space" to refer to a very vaguely defined (essentially undefined) region below the actual 100 km boundary to space, which is often meant to include substantially lower regions as well. Thus, certain balloon or airplane flights might be described as "reaching the edge of space", when they really don't even go half as high as 100 km up. In such statements, "reaching the edge of space" merely refers to going somewhat higher than average aeronautical vehicles would commonly go.
Reentry from orbit begins at 122 km.