If the ratio of the orbital distance of two planets(d_(1))/(d_(2))= 2what is the ratio of gravitational field experienced by these two planets?

If the ratio of the orbital distance of two planets(d_(1))/(d_(2))= 2w

1.	If the ratio of the orbital distance of two planets(d_(1))/(d_(2))= 2what is the ratio of gravitational field experienced by these two planets?
Answer» SOLUTION :The gravitationalfieldexpreriencedby planets1 ` E_(1)= (GM)/(d_(1)^(2))` The gravitationalfieldexperienced by PLANET 2 `E_(2) = (GM)/(d_(2)^(2))` The ratioof their orbital distance `d_(1)=2d_(2)` Theratio of gravitationalfieldof two PLANETS . ` (E_(1))/(E_(2)) = (GM)/((2d_(2))^(2))xx (d_(2)^(2))/(GM) = (GM)/(4d_(2)^(2)) xx (d_(2)^(2))/(GM) ` `(E_(1))/(E_(2)) = 1/4` ` :."" E_(2) = 4E_(1)`