Free fall:

Free fall describes any motion of the body where gravity is the dominant or only forces acting upon it initially.  The definition excludes motion of an object subjected to other forces like aerodynamic drag, in the nontechnical usage falling through an atmosphere without a deployed parachute or lifting device can be also referred to as free fall.

It can be said that two objects in space orbiting each other in the absence of other forces are in free fall around each other, for example the Moon or an artificial satellite "falls around" the Earth, or a planet "falls around" the Sun. Supposing spherical objects means that the equation of motion is governed by Newton's Law of Universal Gravitation, with solutions to the gravitational two-body problem being elliptic orbits obeying Kepler's laws of planetary motion.

It can be said that 2 objects in space orbiting each other in the absence of other forces are in free fall around each other. Supposing spherical objects means that the equation of motion is governed by the Newton's Law of Universal Gravitation, with solutions to the gravitational two-body problem being elliptic orbits obeying Kepler's laws of planetary motion.

A free-falling object is an object which is falling under the influence of gravity. Any object which is being acted upon only be the force of gravity is said to be in a state of free fall. There are 2 important motion characteristics which are true of free-falling objects:

Free-falling objects do not encounter air resistance.

All free-falling objects accelerate downwards at a rate of 9.8 m/s/s because free-falling objects are accelerating.

An object that falls through a vacuum is subjected to only one external force, the gravitational force, expressed as the weight of the object. The weight equation defines the weight W to be equal to the mass of the object m times the gravitational acceleration. An object that moves because of the action of gravity alone is said to be free falling. If the object falls through the atmosphere, there is an additional drag force acting on the object and the physics involved with the motion of the object is more complex.