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Objects in orbit fall into the central mass but keep missing. The definitions are thus consistent.
to that planet. What really puzzles me is : in Newton phisycs a body could move in a straight line if undisturbed, an that was a geodesic of a 3D space, and could also not move al all if I choose the correct inertial coordinates . Why an apple must fall down (of course along a geodesic) if I let it free in the space in my room? Is there a geodesic running there directed as a the radius of the Hearth? Sorry for the amount of stupid things I must have written. Paolo.