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I have studied that linear momentum of a system remains conserved. But i can't figure out with which reference of frame it is conserved. Is it conserved with respect to system reference frame or in a reference frame attached to one of body of a system or both?

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It is conserved in any inertial reference frame.

A frame attached to one of the bodies, or even the system reference frame, are not necessarily inertial - non-inertial frames are sometimes easier to work with than inertial frames.

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  • $\begingroup$ True, but a frame attached to one of the bodies will never be inertial, so momentum conservation will not hold in such a frame. (disclaimer: ignoring cases where there is no interaction between the particles, no collision) $\endgroup$ – garyp Sep 11 '19 at 10:32

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