Question

if the ratio of the orbital distance of two planets d1/d2=2, what is the ratio of gravitational field experienced by these two planets?

Answer 1

E=-Gm/r^2

E1=-Gm/d1^2

E2=-Gm/d2^2

Given d1/d2=2

d2= d1/2

So in E2

E2 = -Gm/(d1/2)^2 = -Gm×4/d1^2 = 4E1

Answer 2

"The gravitational field intensity (g) or (EG) is the force on a unit mass at a position in the field.

As the force (F) on a body of mass m in a gravitational field of a body of mass M = G*M*m / r2.

One can see that the force per unit mass is known by F/m.

Thus, The Gravitational Field Intensity (EG) = (g) = F/m = GM/r2.

"