Lagrange point: Difference between revisions

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(Created page with "<!-- A Lagrange point is a point where the gravity between bodies balances out to be nothing. : ...assuming we are dealing with just two bodies heavy enough that any others areound have negligible effect. : This is often true enough, but you can make things more complex if you want - [https://en.wikipedia.org/wiki/N-body_problem n-body problems] just get involved ''fast'' Also, note that while you could consider this to be about objects sitting in space, we more usual...")
 
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A Lagrange point is a point where the gravity between bodies balances out to be nothing.
A Lagrange point is a point where the gravity between bodies balances out to make for a stable place to be.
: ...assuming we are dealing with just two bodies heavy enough that any others areound have negligible effect.
 
: This is often true enough, but you can make things more complex if you want - [https://en.wikipedia.org/wiki/N-body_problem n-body problems] just get involved ''fast''
 
This is usually simplified to assume we are dealing with just two bodies heavy enough that any others around have negligible effect.
Which, given the distances involved, and/or the other influences being fairly constant, is often close enough.
 
...yet you can make things more accurate and complex if you want - [https://en.wikipedia.org/wiki/N-body_problem n-body problems] just happens to get very involved very quickly.
 




Also, note that while you could consider this to be about objects sitting in space,
Also, note that while you could consider this to be about objects sitting in space,
we more usually talk this in the context of orbits -- because if you don't, those bodies will soon smash into each other.
we more usually talk this in the context of orbits -- because without the relative speeds that make for (potential) orbits,  
those bodies will soon smash into each other.
 
So it's about bodies that move, which also means that Lagrange points will move.
 
 
 
Read or watch enough sci fi and the term will pop up ("our FTL is dangerous to do in gravity, so our clever cowboy of a captain timed it right in the Lagrange point" type thing), and you'll have an awareness of these things.
 
Which leads to the intuition is that these are the points where gravity balances out to be zero.
 
Yet there are a few reasons this can be as confusing as it can be helpful.
 
 
An arguably better intuition is that Lagrange points are the points where the balance of forces can
happen to make for another potentially-stable place to be (another orbit of sorts).


Note that this point will move, because the bodies will move.


So perhaps more intuitively, Lagrange points are also "the points where the forces balance to make for a stable orbit".
I'm also pushing this angle because what they tend to not mention is that for two orbital bodies
there is not ''a'' Lagrange point, there are actually '''five Lagrange points''.




If you only ever heard of the one, this seems a little weird, because surely there's just one point things balance out?
Turns out they are all slightly different in nature, and this comes largely from the "because moving / because orbits" part.




More interestingly, there are actually '''five Lagrange points'' for two bodies.
(In one view - if they weren't moving they'd all overlap)


If you only ever heard of the one, this seems a little weird, because surely there's just one point things balance out?
Turns out they are all slightly different in nature, and this comes largely from the "because orbits" part.





Latest revision as of 11:33, 16 April 2024