F = m×a
F_grav = gamma×M×m/r²
a=F/m
a=F_grav/m
a=gamma×M/r²
The acceleration of a single object in a gravitational field does not depend on its mass.
Making sense of it, more massive objects require a larger force to accelerate them, but gravity acts with a larger force on more massive objects.
But why is it so exact? The real thing is that gravity isnt a force but space-time curvature. And things in a gravitational filed do what they would do anyway move in a straight line. The straight line happens to be curved relative to a flat geometry but it is straight on the curved surface.
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