I was thinking about newtons law and come across something interesting. F=ma=GMm/r^2 therefore a=GM/r^2. This is the acceleration of the satellite towards the larger mass. But this acceleration is only accurate assuming that the larger mass is stationary. But f=Ma=GMm/r^2, so there is an acceleration of the larger mass towards the smaller. Wouldn't the total acceleration or real acceleration be a addition of the two seperate accelerations. I know that this is a very small and probably negligible acceleration difference and this has probably already been discussed. Thanks in advance.