L4 and L5 are the most stable and L1 the least (as best I remember).
Some things to point out: (1) Close passing asteroids can mess with even stable orbits (if close enough) (2) Within a Lagrange point there might be multiple masses, each of which is doing a complicated little circular dance; so if you have more than one satellite you might have collisions over that long a period (3) Over a millennia dust abrasion and micrometeors are going to be major issues (4) All Lagrange points are outside the Earth's magnetosphere (aka, the 'Van Allen Belt'), meaning they get the full brunt of solar storms and other extant radiation.
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In any case, Lagrange orbits are very stable.http://en.wikipedia.org/wiki/Lagrange_orbit
L4 and L5 are the most stable and L1 the least (as best I remember).
Some things to point out: (1) Close passing asteroids can mess with even stable orbits (if close enough) (2) Within a Lagrange point there might be multiple masses, each of which is doing a complicated little circular dance; so if you have more than one satellite you might have collisions over that long a period (3) Over a millennia dust abrasion and micrometeors are going to be major issues (4) All Lagrange points are outside the Earth's magnetosphere (aka, the 'Van Allen Belt'), meaning they get the full brunt of solar storms and other extant radiation.
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But there is another very stable orbital position... Sitting on the Moon's surface.
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(And I swear I saw an article about an artificial satellite in a million-year+ orbit...)
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