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where $r$ is the vector from the body $M$ to the body who's acceleration is being calculated. Remember that the acceleration of each body depends only on the mass of the other body, even though the force depends on both masses, because the first mass cancels out by $a=F/m$.

where $r$ is the vector from the body $M$ to the body who's acceleration is being calculated. Remember that in Newtonian mechanics the acceleration of each body depends only on the mass of the other body, even though the force depends on both masses, because the first mass cancels out by $a=F/m$.

Oblateness ($J_2$ only, approximate):

Oblateness ($J_2$ only):