COM of the system described above is

invariant when seen in its own frame of reference with origin fixed at C.

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invariant when seen through any frame of reference.

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variant as circular motion require an external force (centripetal force)

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variant as both the masses are moving in their orbits with nothing at the common centre.

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Solution

The correct option is B invariant when seen through any frame of reference.
COM is an imaginary point at which whole mass of the system can be assumed to be concentrated. It depends upon the masses in the system and their separation distance.
As the net force acting on system is zero and the masses are constant, therefore COM would remain invariant when seen through any frame of reference.

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