I want to know what would be the effect of change in mass of earth on overall gravitational balance of solar system.
the mass of earth increases (however insignificant that change may be) when an asteroid hit earth and there is a net decrease when we send a satellite in space. I was wondering if this change in earth's mass may have any (apparently very very small) change in earth-sun-solar system gravitational equilibrium. At first though it may sound really trivial as even a few hundred tonne (10e5) satellite mass is negligible with respect to 10e24 kg of earth. But is there any research on its effect on gravity of earth and overall gravitational balance of the system?
considering all the mass is still in solar system, considering solar system as a closed body, we can assume that there might be some adjustment (which may be in microns) in position of earth which might have a butterfly effect in some way.
i would really appreciate if anyone has some information about it or can provide theoretical explanation of this phenomenon.