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Gravitational force

Gravitational force is always attractive. The force experienced by a satellite and created by the Earth is directed at all times to the center of gravity of the Earth. We speak of "core strength" to characterize this property.
Note that the trajectory of a body in such a field of "central" force is an ellipse (or hyperbola). The vertical free fall is a special case which is only observed when a body released without initial speed.