The force will increase fourfold.
Provided neither mass changes, the mutual gravitational force of attraction betweentwo bodies decreases to 1/16 of its original value when the distance between theircenters increases to 4 times the original distance.
Their masses. The strength of a planetary body's gravitational field is directly related to its mass, and its effect on an object is inversely proportional to the square of the distance between the centers of the bodies.
The gravitational attraction between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centres.
The forces of gravitational attraction between two bodies depend on the product of their masses and on the distance between their centers. Where they're located, or what's between them, doesn't make any difference at all.
The mass of the two bodies and the distance between them are determining factors of their gravitational attraction.
If they are farther apart, there is less gravitational pull. Opposite if they are closer together.
Convention - movement that decreases the distance between bodies is deemed to be negative.
When the distance between the two bodies increases, the gravitational force attracting them decreases.
Gravitational force depends on the masses of both objects and the distance between them. The formula is Gravitational Force = 6.67428 * 10^-11 * Mass of First Object * Mass of Second Object / Distance^2.
For Newtonian gravity, observe that the force (F) between two bodies is a function of only the mass of the bodies and distance between the center of mass of those bodies. F = (G*m1*m2)/r^2; where, G = Gravitational constant, m1 = mass of one body, m2 = mass of second body, r = distance between bodies. It is directly proportional to the mass of the bodies and inversely proportional to the square of the distance between them. Thus, the methods of increasing the magnitude of the force are to increase the mass of either or both of the bodies or decrease the distance between the bodies. Reducing the force can be accomplished by doing the opposite: decreasing mass or increasing distance.
The gravitational force has a 1/r2 dependence, so if you double the distance, the force is decreased by a factor of 4.
The gravitational pull of an object in relation to its distance from another object is an inverse square law. When the distance between two objects is doubled, their pulled on each other is quartered. G ∝ 1/r2 where G is the gravitational pull and r is the separation.