If we attach an inertial frame of refrance with the centre of mass of many particle system then centre of mass in that frame of refrance would be at rest or, Vcm=0 , and such type of refrance frames are known as centre of mass frame of refrance.
Total linear momentum of a many particle system is zero in centre of mass frame of refrance i.e., pcm=MVcm=0 since Vcm=0.
Therefore C-refrance frames are also known as zero momentum refrance frames.
Since in absence of any external force the centre of mass of any system moves with constant velocity in inertial frame of refrance therefore for a many particle system C-rame of refrance is an inertial frame of refrence.
Refrance frames connected to laboratory are known as L-frame of refrance or lebiratory frame of refrance.
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