Lagrange/Libration points for planets with multiple satellites?
Do the different moons of planets with multiple satellites affect the position of each others' Lagrange points, for example Phobos and Deimos of Mars or the many in orbit around Saturn?
I left you a fair reference on the subject. My guess is the larger moon systems would give a instability factor to related L points between say Jupiter and any of it's moons L points. But check out the reference for a look at how they compute them and their basic stability. I would think it would be pretty messy on the Jupiter moon L points and need constant correction. Same with Saturn. I would think the sun/Jupiter L points would be pretty stable for the most part and not effected too much from the moons but I don't have a supercomputer or the know how to work them out so it's better to start just checking out the many reference material on this subject at the sites...
I would doubt the rocks going around mars would have any effect on it's sun/mars L points. They are just captured asteroids and if they call Pluto a minor planet I can't understand how they can call those small rocks moons around Mars. Minor moons?
It's a pretty neat subject just the same how we use them and how they are used in the larger planets to put objects at specific areas in it's L points.

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